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Horizontal and Vertical Components of Projectile Motion

An open lift ...

Question

An open lift is coming down from the top of a building at a constant speed v=10 m/s. A boy standing on the lift throw a stone vertically upwards at a speed of 30 m/s w.r.t. himself. The time after which he will catch the stone is:

A

8 sec

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B

10 sec

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C

4 sec

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D

6 sec

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Solution

The correct option is D
6 sec

$0 = 30 t + \frac{1}{2} (- 10) t^{2} \Rightarrow t = 0$ or $6$

$∴$ time taken by the ball to return to boy is 6 seconds.

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