A ball is dropped vertically from a height of h onto a hard surface. If the ball rebounds from the surface with a fraction r of the speed with which it strikes the latter on each impact, what is the net distance traveled by the ball up to the `10^(th)` impact ?

Options

A. `2h(1-r^(10))/(1-r)`
B. `h(1-r^(20))/(1-r^(2))`
C. `2h(1-r^(22))/(1-r^(2))-h`
D. `2h(1-r^(20))/(1-r^(2))-h`

Answer

D