A ball is dropped from a height h on to a floor . If the cofficient of restitution is e, calculate the height the ball first rebounds ?

Options

A. `e^(2)h`
B. `esqrt(h)`
C. `eh`
D. `sqrt(eh)`

Answer

A

Explanation

Velocity with which the ball strikes the ground `u=sqrt(2gh)`
If the bal re bounces with velocity V, then `V=eu=esqrt(2gh)`
If `h'to` max velocity ofter one bounce, then
`0^(2)-V^(2)=2(-g)himpliesh'=e^(2)h`