Rocket trajectory in vertical launch then free fall

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jontyjashan
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Homework Statement


A rocket is launched to travel vertically upward with a constant velocity of say...20 m/s.After
travelling maybe 35 s the rocket develops snag and its fuel supply is cut off. the rocket then travels like a free body, the height achieved by the rocket will be



Homework Equations


displacement=velocity *time

The Attempt at a Solution


20 *35=700m

this is not the answer why?
 
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you add to that the extra displacement the rocket travels as a free body till the point where its velocity reachs [0 m/s]