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Question

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

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Solution

Velocity of ball A in up direction = Va= u –gt
Where, u = initial velocity
g = acceleration due to gravity
t = time
Velocity of ball B in down direction = Vb = gt , (since initial velocity is zero)
Therefore, velocity of ball A with respect to ball B = u –gt – gt = u – 2gt
Therefore, velocity of ball A with respect to ball B = u – 2gt.

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