die Rakete
rocket
A projectile or spacecraft powered by a rocket engine and used for space travel or military purposes.
Die Rakete startete pünktlich um Mitternacht ins All.
The rocket launched into space right on time at midnight.

rocket
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rocket
A projectile or spacecraft powered by a rocket engine and used for space travel or military purposes.
Die Rakete startete pünktlich um Mitternacht ins All.
The rocket launched into space right on time at midnight.

The meaning is usually clear from the context. Words like 'All' (space) or 'starten' (to launch) point to space travel. 'Silvester' (New Year's Eve) or 'Feuerwerk' (fireworks) point to the firework. In sports or with vehicles, it is a colloquial expression for speed.
Die unbemannte Rakete soll zum Mars fliegen.
The unmanned rocket is supposed to fly to Mars.
In the context of space travel or the military, a 'Rakete' (rocket) is 'gestartet' (launched), 'abgeschossen' (fired), or 'gezündet' (ignited). It 'fliegt' (flies) to a target, for example 'ins All' (into space) or 'zum Mond' (to the moon).
Vom Weltraumbahnhof wurde eine neue Forschungsrakete gestartet.
A new research rocket was launched from the spaceport.
This meaning is relevant almost exclusively in the context of celebrations such as 'Silvester' (New Year's Eve). People say they let rockets 'steigen' (rise) or 'in den Himmel schießen' (shoot them into the sky).
Um Mitternacht stiegen tausende bunte Raketen in die Luft.
At midnight, thousands of colorful firework rockets rose into the air.
Using 'Rakete' (rocket) for a fast person or a fast vehicle is colloquial. People often say that someone or something 'ist eine echte Rakete' (is a real rocket).
Mit seinem neuen Motorrad ist er auf der Autobahn eine Rakete.
With his new motorcycle, he is a rocket on the highway.
shuttle
'Rakete' and 'Shuttle' can both appear in the context of space travel, but they do not mean the same thing. A 'Rakete' is mainly a projectile or spacecraft with a rocket engine; it launches upward with great force and can also be used militarily. A 'Shuttle' is a reusable spacecraft that transports people or material into space. The words can be confusing because a shuttle may be connected to rockets during launch. Still, the 'Rakete' is more the propulsion system or projectile/spacecraft, while the 'Shuttle' is more the vehicle used for transport.

Die Rakete startete am Morgen vom Weltraumbahnhof.
The rocket launched from the spaceport in the morning.
Der Shuttle brachte Astronauten und Material zur Raumstation.
The shuttle brought astronauts and material to the space station.