At time t = 0, two bodies A and B are at the same point. A moves with constant velocity V and B starts from rest and moves with constant acceleration. Relative velocity of B with respect to A when the bodies meet each other is

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At time t = 0, two bodies A and B are at the same point. A moves with constant velocity V and B starts from rest and moves with constant acceleration. Relative velocity of B with respect to A when the bodies meet each other is

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V/3

V/2

answer is C.

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Detailed Solution

The displacement of A is given by $x_{A} = Vt$ .

The displacement of B is given by $x = \frac{1}{2} {at}^{2}$

When they meet each other, $\frac{1}{2} {at}^{2} = vt \Rightarrow t = \frac{2 v}{a}$

So the velocity of B is given by 2V, the relative velocity will be 2V-V=V

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