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Q.

A ball A is thrown up vertically with a speed u and at the same instant another ball B is released from a height h. At time t, the speed of A relative to B is

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a

u –gt 

b

u

c

(u2gt)

d

2u

answer is A.

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Detailed Solution

At time t

Velocity of A, vA=ugt  upward

Velocity of B,  vB=ugt  downward

If we assume that height h is smaller than or equal to maximum height reached by A then at every instant  vA  and  vB are in opposite direction.

Question Image

    vAB=vA+vB=ugt+gt

(speeds in opposite directions get added)

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