A rocket, drifting sideways in outer space $($ignore all friction$)$ from position $$a$$ to position $$b$$ is subject to no outside forces.$$ At $$b$,$ the rocket$$s engine starts to produce a constant thrust at right angles to line $$ab$.$ The engine turns off again as the rocket reaches some point $$c$.$

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At $$c$$ the rocket$$s engine is turned off.$$ Which of the paths below will the rocket follow beyond $$c$?$

Path A

Path B

Path C

Path D

Path E