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Question

A body is thrown up in a lift with a velocity u relative to the lift and the time of flight is t. Show that the lift is moving up with an acceleration 2utgt.

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Solution

Let the acceleration of the lift be a in upward direction.
Acceleration of the body w.r.t ground =g (downward)
Thus Acceleration of the body w.r.t lift ab=g+a
In the lift frame : S=ut+12abt2 where t is the time of flight
0=ut(g+a)t22 a=2utgt

517509_243989_ans.png

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