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Question

From the top of tower of height 200 m, a ball A is projected up with speed 10 ms1 and 2 s later, another ball B is projected vertically down with the same speed. Then

A
Bath A and B will reach the ground simultaneously.
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B
Ball A will hit the ground 2 s later then B hitting the ground.
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C
Bath the balls will hit the ground with the same velocity.
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D
Bath will rebound to the same height from the ground, if both have same coefficient of restitution.
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Solution

The correct options are
A Bath A and B will reach the ground simultaneously.
C Bath the balls will hit the ground with the same velocity.
D Bath will rebound to the same height from the ground, if both have same coefficient of restitution.
For ball A,
Tf=2ug
=2×1010=2s.
Therefore after 2s, Pt will reach the point at which Pt thrown. But Pts velocity will be same but opposite Pn direction, i.e, downward.
The ball A & B starts falling from same height with same velocity.
They will reach the ground at same time and with same velocity.
It their properties are same, they will be bound to the same height.

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