Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/lbfactory/LBFactory.php on line 759

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 262

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: Return type of MediaWiki\Session\PHPSessionHandler::open($save_path, $session_name) should either be compatible with SessionHandlerInterface::open(string $path, string $name): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/PHPSessionHandler.php on line 181

Deprecated: Return type of MediaWiki\Session\PHPSessionHandler::close() should either be compatible with SessionHandlerInterface::close(): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/PHPSessionHandler.php on line 196

Deprecated: Return type of MediaWiki\Session\PHPSessionHandler::read($id) should either be compatible with SessionHandlerInterface::read(string $id): string|false, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/PHPSessionHandler.php on line 210

Deprecated: Return type of MediaWiki\Session\PHPSessionHandler::write($id, $dataStr) should either be compatible with SessionHandlerInterface::write(string $id, string $data): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/PHPSessionHandler.php on line 238

Deprecated: Return type of MediaWiki\Session\PHPSessionHandler::destroy($id) should either be compatible with SessionHandlerInterface::destroy(string $id): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/PHPSessionHandler.php on line 344

Deprecated: Return type of MediaWiki\Session\PHPSessionHandler::gc($maxlifetime) should either be compatible with SessionHandlerInterface::gc(int $max_lifetime): int|false, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/PHPSessionHandler.php on line 365

Deprecated: strcasecmp(): Passing null to parameter #1 ($string1) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/CookieSessionProvider.php on line 101

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 262

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: Return type of MediaWiki\Session\Session::count() should either be compatible with Countable::count(): int, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/Session.php on line 593

Deprecated: Return type of MediaWiki\Session\Session::current() should either be compatible with Iterator::current(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/Session.php on line 599

Deprecated: Return type of MediaWiki\Session\Session::next() should either be compatible with Iterator::next(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/Session.php on line 611

Deprecated: Return type of MediaWiki\Session\Session::key() should either be compatible with Iterator::key(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/Session.php on line 605

Deprecated: Return type of MediaWiki\Session\Session::valid() should either be compatible with Iterator::valid(): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/Session.php on line 623

Deprecated: Return type of MediaWiki\Session\Session::rewind() should either be compatible with Iterator::rewind(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/Session.php on line 617

Deprecated: Return type of MediaWiki\Session\Session::offsetExists($offset) should either be compatible with ArrayAccess::offsetExists(mixed $offset): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/Session.php on line 633

Deprecated: Return type of & MediaWiki\Session\Session::offsetGet($offset) should either be compatible with ArrayAccess::offsetGet(mixed $offset): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/Session.php on line 646

Deprecated: Return type of MediaWiki\Session\Session::offsetSet($offset, $value) should either be compatible with ArrayAccess::offsetSet(mixed $offset, mixed $value): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/Session.php on line 656

Deprecated: Return type of MediaWiki\Session\Session::offsetUnset($offset) should either be compatible with ArrayAccess::offsetUnset(mixed $offset): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/Session.php on line 661

Deprecated: Message implements the Serializable interface, which is deprecated. Implement __serialize() and __unserialize() instead (or in addition, if support for old PHP versions is necessary) in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/language/Message.php on line 161

Deprecated: MapCacheLRU implements the Serializable interface, which is deprecated. Implement __serialize() and __unserialize() instead (or in addition, if support for old PHP versions is necessary) in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/MapCacheLRU.php on line 38

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: RawMessage implements the Serializable interface, which is deprecated. Implement __serialize() and __unserialize() instead (or in addition, if support for old PHP versions is necessary) in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/RawMessage.php on line 35

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: Creation of dynamic property Parser::$scribunto_engine is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/extensions/Scribunto/includes/common/Hooks.php on line 81

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Warning: Cannot modify header information - headers already sent by (output started at /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/PHPSessionHandler.php:35) in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/changes/ChannelFeed.php on line 95

Warning: Cannot modify header information - headers already sent by (output started at /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/PHPSessionHandler.php:35) in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/changes/ChannelFeed.php on line 100

Warning: Cannot modify header information - headers already sent by (output started at /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/PHPSessionHandler.php:35) in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/WebResponse.php on line 74

Warning: Cannot modify header information - headers already sent by (output started at /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/PHPSessionHandler.php:35) in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/WebResponse.php on line 74

Warning: Cannot modify header information - headers already sent by (output started at /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/PHPSessionHandler.php:35) in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/WebResponse.php on line 74

Warning: Cannot modify header information - headers already sent by (output started at /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/PHPSessionHandler.php:35) in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/WebResponse.php on line 74

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

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Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578
http://www.mysolutions.tecnico.ulisboa.pt//mysolutions/wiki/index.php?action=history&feed=atom&title=Remate_de_Rugby 2025-08-18T14:10:37Z Histórico de edições para esta página nesta wiki MediaWiki 1.35.2
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http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Remate_de_Rugby&diff=2149&oldid=prev 2016-09-16T08:22:43Z

<p></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="pt"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 08h22min de 16 de setembro de 2016</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l30" >Linha 30:</td> <td colspan="2" class="diff-lineno">Linha 30:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Equações do movimento:</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Equações do movimento:</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* \(\<del class="diffchange diffchange-inline">frac</del>{d^2x}{dt^2} = 0\);</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* \(\<ins class="diffchange diffchange-inline">dfrac</ins>{d^2x}{dt^2} = 0\);</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* \(\<del class="diffchange diffchange-inline">frac</del>{d^2y}{dt^2} = -g\);</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* \(\<ins class="diffchange diffchange-inline">dfrac</ins>{d^2y}{dt^2} = -g\);</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Cuja solução, neste caso, é:</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Cuja solução, neste caso, é:</div></td></tr> </table>

Ist25379
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http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Remate_de_Rugby&diff=2148&oldid=prev 2016-09-16T08:21:38Z

<p>Corrigido: separador decimal, dimensão das frações</p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="pt"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 08h21min de 16 de setembro de 2016</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l76" >Linha 76:</td> <td colspan="2" class="diff-lineno">Linha 76:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;div class=&quot;mw-collapsible-content&quot;&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;div class=&quot;mw-collapsible-content&quot;&gt;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Para a forma da curva obtemos a expressão:</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Para a forma da curva obtemos a expressão:</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* \( y = \tan{\theta}\, x - \<del class="diffchange diffchange-inline">dfrac</del>{1}{2} \<del class="diffchange diffchange-inline">frac</del>{g}{v_0^2 \cos^2{\theta}} x^2 \)</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* \( y = \tan{\theta}\, x - \<ins class="diffchange diffchange-inline">frac</ins>{1}{2} \<ins class="diffchange diffchange-inline">dfrac</ins>{g}{v_0^2 \cos^2{\theta}} x^2 \)</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Substituindo o valor do ângulo temos:</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Substituindo o valor do ângulo temos:</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* \( y = x - \<del class="diffchange diffchange-inline">frac</del>{g}{v_0^2} x^2 \)</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* \( y = x - \<ins class="diffchange diffchange-inline">dfrac</ins>{g}{v_0^2} x^2 \)</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Que corresponde, obviamente a uma parábola.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Que corresponde, obviamente a uma parábola.</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td></tr> </table>

Ist25379
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http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Remate_de_Rugby&diff=2147&oldid=prev 2016-09-16T08:20:24Z

<p></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="pt"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 08h20min de 16 de setembro de 2016</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l63" >Linha 63:</td> <td colspan="2" class="diff-lineno">Linha 63:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Admitindo o valor mínimo da velocidade calculado na alínea anterior temos:</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Admitindo o valor mínimo da velocidade calculado na alínea anterior temos:</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>*\(t_q = \<del class="diffchange diffchange-inline">frac</del>{2 v_{0 \, min} \sin{45^{\rm o}}}{g} \)</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*\(t_q = \<ins class="diffchange diffchange-inline">dfrac</ins>{2 v_{0 \, min} \sin{45^{\rm o}}}{g} \)</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>*\(\Rightarrow t_q \simeq 1,\!25 s\)</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*\(\Rightarrow t_q \simeq 1,\!25<ins class="diffchange diffchange-inline">\, </ins>s\)</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td></tr> <tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l76" >Linha 76:</td> <td colspan="2" class="diff-lineno">Linha 76:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;div class=&quot;mw-collapsible-content&quot;&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;div class=&quot;mw-collapsible-content&quot;&gt;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Para a forma da curva obtemos a expressão:</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Para a forma da curva obtemos a expressão:</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* \( y = \tan{\theta} x - \<del class="diffchange diffchange-inline">frac</del>{1}{2} \frac{g}{v_0^2 \cos^2{\theta}} x^2 \)</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* \( y = \tan{\theta}<ins class="diffchange diffchange-inline">\, </ins>x - \<ins class="diffchange diffchange-inline">dfrac</ins>{1}{2} \frac{g}{v_0^2 \cos^2{\theta}} x^2 \)</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Substituindo o valor do ângulo temos:</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Substituindo o valor do ângulo temos:</div></td></tr> </table>

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http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Remate_de_Rugby&diff=2146&oldid=prev 2016-09-16T08:17:08Z

<p>Corrigido: separador decimal.</p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="pt"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 08h17min de 16 de setembro de 2016</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l20" >Linha 20:</td> <td colspan="2" class="diff-lineno">Linha 20:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>No momento de lançamento a bola estava no chão. Considere que a barra está a 3 metros de altura.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>No momento de lançamento a bola estava no chão. Considere que a barra está a 3 metros de altura.</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>O jogador está a 15 metros da linha da baliza e o ângulo de lançamento foi de 45\(^{\rm o}\).</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>O jogador está a 15 metros da linha da baliza e o ângulo de lançamento foi de 45\(^{\rm o}\).</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Considere que a única força a atuar na bola é a força da gravidade (não há nem vento nem qualquer atrito). Considere ainda \(g \simeq 9<del class="diffchange diffchange-inline">.</del>8 \) m.s\(^{-2}\).</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Considere que a única força a atuar na bola é a força da gravidade (não há nem vento nem qualquer atrito). Considere ainda \(g \simeq 9<ins class="diffchange diffchange-inline">,\!</ins>8 \) m.s\(^{-2}\).</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*Escreva as equações gerais para o movimento da bola pelos dois eixos \(x\) e \(y\).</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*Escreva as equações gerais para o movimento da bola pelos dois eixos \(x\) e \(y\).</div></td></tr> <tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l51" >Linha 51:</td> <td colspan="2" class="diff-lineno">Linha 51:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&#039;&#039;&#039;Respostas&#039;&#039;&#039;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&#039;&#039;&#039;Respostas&#039;&#039;&#039;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;div class=&quot;mw-collapsible-content&quot;&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;div class=&quot;mw-collapsible-content&quot;&gt;</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* \( v_{0 \, min} \simeq 8<del class="diffchange diffchange-inline">.</del>66\) m.s\(^{-1}\)</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* \( v_{0 \, min} \simeq 8<ins class="diffchange diffchange-inline">,\!</ins>66\) m.s\(^{-1}\)</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td></tr> <tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l63" >Linha 63:</td> <td colspan="2" class="diff-lineno">Linha 63:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Admitindo o valor mínimo da velocidade calculado na alínea anterior temos:</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Admitindo o valor mínimo da velocidade calculado na alínea anterior temos:</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>*\(t_q = \frac{2 v_{0 \, min} \sin{<del class="diffchange diffchange-inline">45º</del>}}{g} \)</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*\(t_q = \frac{2 v_{0 \, min} \sin{<ins class="diffchange diffchange-inline">45^{\rm o}</ins>}}{g} \)</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>*\(\Rightarrow t_q \simeq 1<del class="diffchange diffchange-inline">.</del>25 s\)</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*\(\Rightarrow t_q \simeq 1<ins class="diffchange diffchange-inline">,\!</ins>25 s\)</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td></tr> </table>

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Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578
http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Remate_de_Rugby&diff=342&oldid=prev 2015-09-29T15:21:55Z

<p></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="pt"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 15h21min de 29 de setembro de 2015</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l77" >Linha 77:</td> <td colspan="2" class="diff-lineno">Linha 77:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Para a forma da curva obtemos a expressão:</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Para a forma da curva obtemos a expressão:</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* \( y = \tan{\theta} x - \frac{1}{2} \frac{g}{v_0^2 \cos^2{\theta}} x^2 \)</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* \( y = \tan{\theta} x - \frac{1}{2} \frac{g}{v_0^2 \cos^2{\theta}} x^2 \)</div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Substituindo o valor do ângulo temos:</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* \( y = x - \frac{g}{v_0^2} x^2 \)</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Que corresponde, obviamente a uma parábola.</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td></tr> </table>

Ist172693
Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

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Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

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Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

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Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

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Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

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Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

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Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

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Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

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http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Remate_de_Rugby&diff=341&oldid=prev 2015-09-29T15:19:17Z

<p></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="pt"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 15h19min de 29 de setembro de 2015</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l30" >Linha 30:</td> <td colspan="2" class="diff-lineno">Linha 30:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Equações do movimento:</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Equações do movimento:</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* \frac{d^2x}{dt^2} = 0;</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* <ins class="diffchange diffchange-inline">\(</ins>\frac{d^2x}{dt^2} = 0<ins class="diffchange diffchange-inline">\)</ins>;</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* \frac{d^2y}{dt^2} = -g;</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* <ins class="diffchange diffchange-inline">\(</ins>\frac{d^2y}{dt^2} = -g<ins class="diffchange diffchange-inline">\)</ins>;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Cuja solução, neste caso, é:</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Cuja solução, neste caso, é:</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* x = v_0 \frac{\sqrt{2}}{2} t;</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* <ins class="diffchange diffchange-inline">\(</ins>x = v_0 \frac{\sqrt{2}}{2} t<ins class="diffchange diffchange-inline">\)</ins>;</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* y = v_0 \frac{\sqrt{2}}{2} t - \frac{1}{2} g t^2;</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* <ins class="diffchange diffchange-inline">\(</ins>y = v_0 \frac{\sqrt{2}}{2} t - \frac{1}{2} g t^2<ins class="diffchange diffchange-inline">\)</ins>;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Podemos ainda escrever as equações para as componentes da velocidade:</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Podemos ainda escrever as equações para as componentes da velocidade:</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* v_x = v_0 \frac{\sqrt{2}}{2};</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* <ins class="diffchange diffchange-inline">\(</ins>v_x = v_0 \frac{\sqrt{2}}{2}<ins class="diffchange diffchange-inline">\)</ins>;</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* v_y = v_0 \frac{\sqrt{2}}{2} - gt;</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* <ins class="diffchange diffchange-inline">\(</ins>v_y = v_0 \frac{\sqrt{2}}{2} - gt<ins class="diffchange diffchange-inline">\)</ins>;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td></tr> <tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l51" >Linha 51:</td> <td colspan="2" class="diff-lineno">Linha 51:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&#039;&#039;&#039;Respostas&#039;&#039;&#039;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&#039;&#039;&#039;Respostas&#039;&#039;&#039;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;div class=&quot;mw-collapsible-content&quot;&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;div class=&quot;mw-collapsible-content&quot;&gt;</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* \( <del class="diffchange diffchange-inline">ma = mg \sin</del>{\<del class="diffchange diffchange-inline">theta</del>} <del class="diffchange diffchange-inline">- F_a </del>\)</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* \( <ins class="diffchange diffchange-inline">v_</ins>{<ins class="diffchange diffchange-inline">0 </ins>\<ins class="diffchange diffchange-inline">, min</ins>} <ins class="diffchange diffchange-inline">\simeq 8.66</ins>\) <ins class="diffchange diffchange-inline">m.s\</ins>(<ins class="diffchange diffchange-inline">^{-1}\</ins>)</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">* </del>(<del class="diffchange diffchange-inline">falta imagem</del>)</div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td></tr> <tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l61" >Linha 61:</td> <td colspan="2" class="diff-lineno">Linha 60:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&#039;&#039;&#039;Respostas&#039;&#039;&#039;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&#039;&#039;&#039;Respostas&#039;&#039;&#039;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;div class=&quot;mw-collapsible-content&quot;&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;div class=&quot;mw-collapsible-content&quot;&gt;</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* \( <del class="diffchange diffchange-inline">ma </del>= <del class="diffchange diffchange-inline">mg </del>\sin{<del class="diffchange diffchange-inline">\theta</del>} <del class="diffchange diffchange-inline">- F_a </del>\)</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* (<del class="diffchange diffchange-inline">falta imagem</del>)</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">Admitindo o valor mínimo da velocidade calculado na alínea anterior temos:</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*\(<ins class="diffchange diffchange-inline">t_q </ins>= <ins class="diffchange diffchange-inline">\frac{2 v_{0 \, min} </ins>\sin{<ins class="diffchange diffchange-inline">45º}}{g</ins>} \)</div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*<ins class="diffchange diffchange-inline">\</ins>(<ins class="diffchange diffchange-inline">\Rightarrow t_q \simeq 1.25 s\</ins>)</div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td></tr> <tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l71" >Linha 71:</td> <td colspan="2" class="diff-lineno">Linha 75:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&#039;&#039;&#039;Respostas&#039;&#039;&#039;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&#039;&#039;&#039;Respostas&#039;&#039;&#039;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;div class=&quot;mw-collapsible-content&quot;&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;div class=&quot;mw-collapsible-content&quot;&gt;</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* \( <del class="diffchange diffchange-inline">ma </del>= <del class="diffchange diffchange-inline">mg </del>\<del class="diffchange diffchange-inline">sin</del>{\theta} - <del class="diffchange diffchange-inline">F_a </del>\<del class="diffchange diffchange-inline">)</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">Para a forma da curva obtemos a expressão:</ins></div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">* (falta imagem</del>)</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* \( <ins class="diffchange diffchange-inline">y </ins>= \<ins class="diffchange diffchange-inline">tan</ins>{\theta} <ins class="diffchange diffchange-inline">x </ins>- \<ins class="diffchange diffchange-inline">frac{1}{2} \frac{g}{v_0^2 \cos^2{\theta}} x^2 \</ins>)</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td></tr> </table>

Ist172693
Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

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http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Remate_de_Rugby&diff=340&oldid=prev 2015-09-29T14:37:10Z

<p></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="pt"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 14h37min de 29 de setembro de 2015</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l20" >Linha 20:</td> <td colspan="2" class="diff-lineno">Linha 20:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>No momento de lançamento a bola estava no chão. Considere que a barra está a 3 metros de altura.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>No momento de lançamento a bola estava no chão. Considere que a barra está a 3 metros de altura.</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>O jogador está a 15 metros da linha da baliza e o ângulo de lançamento foi de 45\(^{\rm o}\).</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>O jogador está a 15 metros da linha da baliza e o ângulo de lançamento foi de 45\(^{\rm o}\).</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Considere que a única força a atuar na bola é a força da gravidade (não há nem vento nem qualquer atrito).</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Considere que a única força a atuar na bola é a força da gravidade (não há nem vento nem qualquer atrito<ins class="diffchange diffchange-inline">). Considere ainda \(g \simeq 9.8 \) m.s\(^{-2}\</ins>).</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*Escreva as equações gerais para o movimento da bola pelos dois eixos \(x\) e \(y\).</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*Escreva as equações gerais para o movimento da bola pelos dois eixos \(x\) e \(y\).</div></td></tr> <tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l27" >Linha 27:</td> <td colspan="2" class="diff-lineno">Linha 27:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&#039;&#039;&#039;Respostas&#039;&#039;&#039;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&#039;&#039;&#039;Respostas&#039;&#039;&#039;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;div class=&quot;mw-collapsible-content&quot;&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;div class=&quot;mw-collapsible-content&quot;&gt;</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* \<del class="diffchange diffchange-inline">( ma </del>= <del class="diffchange diffchange-inline">mg </del>\<del class="diffchange diffchange-inline">sin</del>{\<del class="diffchange diffchange-inline">theta</del>} - <del class="diffchange diffchange-inline">F_a </del>\<del class="diffchange diffchange-inline">)</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* <del class="diffchange diffchange-inline">(falta imagem)</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">Equações do movimento:</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* \<ins class="diffchange diffchange-inline">frac{d^2x}{dt^2} = 0;</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">* \frac{d^2y}{dt^2} = -g;</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">Cuja solução, neste caso, é:</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">* x = v_0 \frac{\sqrt{2}}{2} t;</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">* y </ins>= <ins class="diffchange diffchange-inline">v_0 </ins>\<ins class="diffchange diffchange-inline">frac</ins>{\<ins class="diffchange diffchange-inline">sqrt{2</ins>}<ins class="diffchange diffchange-inline">}{2} t </ins>- \<ins class="diffchange diffchange-inline">frac{1}{2} g t^2;</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">Podemos ainda escrever as equações para as componentes da velocidade:</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* <ins class="diffchange diffchange-inline">v_x = v_0 \frac{\sqrt{2}}{2};</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">* v_y = v_0 \frac{\sqrt{2}}{2} - gt;</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td></tr> </table>

Ist172693
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http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Remate_de_Rugby&diff=339&oldid=prev 2015-09-29T13:39:53Z

<p></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="pt"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 13h39min de 29 de setembro de 2015</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l20" >Linha 20:</td> <td colspan="2" class="diff-lineno">Linha 20:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>No momento de lançamento a bola estava no chão. Considere que a barra está a 3 metros de altura.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>No momento de lançamento a bola estava no chão. Considere que a barra está a 3 metros de altura.</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>O jogador está a 15 metros da linha da baliza e o ângulo de lançamento foi de 45\(^{\rm o}\).</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>O jogador está a 15 metros da linha da baliza e o ângulo de lançamento foi de 45\(^{\rm o}\).</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Considere <del class="diffchange diffchange-inline">que a altura máxima da trajetória da bola foi atingida quando a bola estava exatamente sobre a trave e </del>que a única força a atuar na bola é a força da gravidade (não há nem vento nem qualquer atrito).</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Considere que a única força a atuar na bola é a força da gravidade (não há nem vento nem qualquer atrito).</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*Escreva as equações gerais para o movimento da bola pelos dois eixos \(x\) e \(y\).</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*Escreva as equações gerais para o movimento da bola pelos dois eixos \(x\) e \(y\).</div></td></tr> </table>

Ist172693
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http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Remate_de_Rugby&diff=338&oldid=prev 2015-09-29T13:38:22Z

<p></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="pt"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 13h38min de 29 de setembro de 2015</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l9" >Linha 9:</td> <td colspan="2" class="diff-lineno">Linha 9:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*AUTOR: Ana Mourão</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*AUTOR: Ana Mourão</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*MATERIA PRINCIPAL: Dinâmica do Ponto Material</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*MATERIA PRINCIPAL: Dinâmica do Ponto Material</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>*DESCRICAO: <del class="diffchange diffchange-inline">Plano Inclinado com Atrito</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*DESCRICAO: <ins class="diffchange diffchange-inline">Lançamento Oblíquo</ins></div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*DIFICULDADE: **</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*DIFICULDADE: **</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*TEMPO MEDIO DE RESOLUCAO: 600 [s]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*TEMPO MEDIO DE RESOLUCAO: 600 [s]</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*TEMPO MAXIMO DE RESOLUCAO: 1200 [s]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*TEMPO MAXIMO DE RESOLUCAO: 1200 [s]</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>*PALAVRAS CHAVE: <del class="diffchange diffchange-inline">Plano</del>, <del class="diffchange diffchange-inline">Inclinado</del>, <del class="diffchange diffchange-inline">Atrito</del>, <del class="diffchange diffchange-inline">Cinético</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*PALAVRAS CHAVE: <ins class="diffchange diffchange-inline">lançamento</ins>, <ins class="diffchange diffchange-inline">oblíquo</ins>, <ins class="diffchange diffchange-inline">queda</ins>, <ins class="diffchange diffchange-inline">graves, gravidade</ins></div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td></tr> </table>

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http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Remate_de_Rugby&diff=337&oldid=prev 2015-09-29T10:47:02Z

<p>Criou a página com &quot;&lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot; style=&quot;width:420px&quot;&gt; &#039;&#039;&#039;Metadata&#039;&#039;&#039; &lt;div class=&quot;mw-collapsible-content&quot;&gt; *CONTEXTO : Primeiro ciclo universitário *AREA:...&quot;</p> <p><b>Página nova</b></p><div>&lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot; style=&quot;width:420px&quot;&gt;<br /> &#039;&#039;&#039;Metadata&#039;&#039;&#039;<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *CONTEXTO : Primeiro ciclo universitário<br /> *AREA: Física<br /> *DISCIPLINA: Mecânica e ondas<br /> *ANO: 1<br /> *LINGUA: pt<br /> *AUTOR: Ana Mourão<br /> *MATERIA PRINCIPAL: Dinâmica do Ponto Material<br /> *DESCRICAO: Plano Inclinado com Atrito<br /> *DIFICULDADE: **<br /> *TEMPO MEDIO DE RESOLUCAO: 600 [s]<br /> *TEMPO MAXIMO DE RESOLUCAO: 1200 [s]<br /> *PALAVRAS CHAVE: Plano, Inclinado, Atrito, Cinético<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> Num jogo de rugby um jogador marcou um golo na sequência de um pontapé que fez a bola passar por cima da barra transversal, entre os postes da baliza do adversário.<br /> No momento de lançamento a bola estava no chão. Considere que a barra está a 3 metros de altura.<br /> O jogador está a 15 metros da linha da baliza e o ângulo de lançamento foi de 45\(^{\rm o}\).<br /> Considere que a altura máxima da trajetória da bola foi atingida quando a bola estava exatamente sobre a trave e que a única força a atuar na bola é a força da gravidade (não há nem vento nem qualquer atrito).<br /> <br /> *Escreva as equações gerais para o movimento da bola pelos dois eixos \(x\) e \(y\).<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot; style=&quot;width:210px&quot;&gt;<br /> &#039;&#039;&#039;Respostas&#039;&#039;&#039;<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> * \( ma = mg \sin{\theta} - F_a \)<br /> * (falta imagem)<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> *Calcule o valor mínimo para o módulo da velocidade inicial da bola.<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot; style=&quot;width:210px&quot;&gt;<br /> &#039;&#039;&#039;Respostas&#039;&#039;&#039;<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> * \( ma = mg \sin{\theta} - F_a \)<br /> * (falta imagem)<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> *Quanto tempo demora a bola até cair no chão?<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot; style=&quot;width:210px&quot;&gt;<br /> &#039;&#039;&#039;Respostas&#039;&#039;&#039;<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> * \( ma = mg \sin{\theta} - F_a \)<br /> * (falta imagem)<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> *Demonstre que, no nosso caso ideal sem forças de atrito e em que a bola é considerada pontual, a trajetória da bola é uma trajetória parabólica. <br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot; style=&quot;width:210px&quot;&gt;<br /> &#039;&#039;&#039;Respostas&#039;&#039;&#039;<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> * \( ma = mg \sin{\theta} - F_a \)<br /> * (falta imagem)<br /> &lt;/div&gt;<br /> &lt;/div&gt;</div>

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