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

Options

A. `h(1+e^(2))/(1-e^(2))`
B. `h(1-e^(2))/(1+e^(2))`
C. `h/2(1-e^(2))/(1+e^(2))`
D. `h/2(1+e^(2))/(1-e^(2))`

Answer

`(1)`

Explanation

` d= h + 2h_(1) + 2h_(2) + ----and h_(n) = e^(2n)h`