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. `e sqrt h`
C. `eh`
D. `sqrt eh`

Answer

`(1)`

Explanation

The velocity with which the ball strikes the ground, ` u = sqrt 2gh`
If the ball rebounces with velocity v, then
`e = v/u` or ` v = eu = e sqrt2gh`
If h. is the maximum height after one bounce, then
`0^(2) - v^(2) = 2(-g)h. or , h. = v^(2)/2g = 1/2g.e^(2). 2gh = e^(2)h`