A ball is released from an elevator moving upward with an acceleration of 3m/s2 . what is the acceleration of the ball after it is released from the elevator? (do it using equations of vertical motion)
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Initially, the elevator and stone are moving upwards with a speed u. When the stone is released from elevator, the stone continues to move upwards due to inertia and thus speed of the stone just after it is released is u (upwards). Acceleration due to gravity g acts in the downward direction.
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While the elevator is moving up, ball acquires the velocity of elevator – not its acceleration. Once it is released, the only force acting on it is that due to gravity. Hence, acceleration of the ball is same as that due to gravity.
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