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Byju's Answer

Standard XII

Physics

Horizontal and Vertical Components of Projectile Motion

An elevator i...

Question

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

A straight line with respect to elevator and projectile with respect to ground

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Projectile with respect to elevator and straight line with respect to ground

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Projectile wrt both elevator and ground

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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 $z e r o$ , 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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