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Question

# A ball is dropped from a height of 3 m. If coefficient of restitution between the surface and ball is 0.5, then the total distance covered by the ball before it comes to rest is

A
3 m
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B
4 m
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C
5 m
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D
6 m
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Solution

## The correct option is A 5 mIf a ball dropped from height h1 then it bounces back to h2 then h2=e2h1similarly for again falling from height h2h3=e2h2h3=e4h1total distance=h1+2h2+2h3+............total distance =3+2e2×3+2e4×3............=−3+6(1+e2+e4..............)=−3+61−e2=−3+60.75=5 m

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