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Question

A body falls from a height h on a horizontal surface and rebounds. Then it falls again and rebounds and so on. If the restitution coefficient is 13, the total distance covered by the body before it comes to rest is


A

h4

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B

5h4

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C

2h

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D

3h

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Solution

The correct option is B

5h4


Total distance travelled is given by s=h+2e2h+2e4h+
=h+2e2h(1+e2+e4+)=h+2e2h1e2=h(1+e21e2)=h1+(13)21(13)2=5h4
Hence, the correct choice is (b).


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