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# A ball of mass rests on a vertical post of height . A bullet of mass , travelling with a velocity in a horizontal direction, hits the centre of the ball. After the collision, the ball and bullet travel independently. The ball hits the ground at a distance of and the bullet at a distance of from the foot of the post. The initial velocity of the bullet is

## The correct answer is:

### and

Applying momentum conservation just before and just after the collision

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