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Question

An elevator is going up with an upward acceleration of 1 m/s2. At the instant when its velocity is 2m/s, a stone is projected upward from its floor with a speed of 2m/s relative to the elevator, at an elevation of 30. If the elevator was moving with a downward acceleration equal to g, how would the motion be altered?

A
A straight line with respect to elevator and projectile with respect to ground
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B
Projectile with respect to elevator and straight line with respect to ground
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C
Projectile wrt both elevator and ground
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D
Straight wrt both elevator and ground
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Solution

The correct option is C A straight line with respect to elevator and projectile with respect to ground
Since the lift is going down with an acceleration of g, both the stone and the elevator are in free fall and their relative acceleration is zero, thus, the stone would move in a straight line with respect to the elevator but its path will be a parabola with respect to the ground.

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