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Question

From the top of tower of height 200 m, a ball A is projected up with speed 10 msâˆ’1 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 Pt′s 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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