Rocket trajectory in vertical launch then free fall

AI Thread Summary
A rocket is launched vertically at a constant velocity of 20 m/s for 35 seconds, resulting in an initial height of 700 meters. After fuel cutoff, the rocket enters free fall, continuing to ascend until its velocity reaches 0 m/s. The total height achieved must include the additional displacement during this free-fall phase. The discussion emphasizes the need to calculate the extra distance traveled after the fuel is cut off to determine the final height. Understanding both the initial ascent and the subsequent free fall is crucial for accurate trajectory analysis.
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]
 
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