First slide
Coefficient of restitution
Question

A particle falls from a height h upon a fixed horizontal plane and rebounds. If e is the coefficient of restitution, the total distance travelled before rebounding has stopped is

Difficult
Solution

height attains after nth collision is hn=e2nh

so total distance travel

s=h+2e2h+2e4h+2e6h+........ s=h1+e21-e2

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