A ball is dropped from a height h on the ground. If the coefficient of restitution is e, the hight to which the ball goes up after it rebounds for the `n^(th)` time is -

Options

A. `he^(2n)`
B. `h e^(n)`
C. `e^(2n)/h`
D. `h/e^(2n)`

Answer

A

Explanation

`v^(1)="ev"`
`sqrt(2gh')=esqrt(2gh)`
`h'=e^(2)h`
`"For "n^(th)"rebound"`
`h'_(n)^(th)=e^(2n)h`