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A body of mass m freely falls to the gro...

A body of mass m freely falls to the ground. A heavy bullet of mass M shot along the horizontal hits the falling body and sticks in it. How will the time of fall of the body to the ground change? Determine the time t of fall if the bullet is known to hit the body at the moment it traverses half the distance, and the time of free fall from this height is to. Assume that the mass of the bullet is much larger than the mass of the body `(M gt gt m)`. The air drag should be neglected.

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