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Q.

A body A is thrown vertically upwards with such a velocity that it reaches a maximum height of h. Simultaneously, another body B is dropped from height h. It strikes the ground and does not rebound. The velocity of  A relative to B versus time graph is best represented by (upward direction is positive)

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a

b

c

d

answer is C.

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Detailed Solution

Initial relative velocity of A w.r.t. B = u - 0 = u. It will remain constant till B reaches ground. B stops on colliding with ground, and A comes down with increasing velocity.
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A body A is thrown vertically upwards with such a velocity that it reaches a maximum height of h. Simultaneously, another body B is dropped from height h. It strikes the ground and does not rebound. The velocity of  A relative to B versus time graph is best represented by (upward direction is positive)