A partical 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

A

Explanation

Total distance travelled by the ball before it stops bouncing is H = `h[(1+e^(2))/(1-e^(2))]`