A ball is projected in a direction inclined to the vertical and bounces on a smooth horizontal plane. The range of one rebound is `R`. If the coefficient of restitution is `e`, then range of the next rebound is

Options

A. `R'=eR`
B. `R'=e^(2)R`
C. `R'=R/e`
D. R'=R`

Answer

A

Explanation

`R=(2ucostheta.usintheta)/g`
After impact horizontal component remains the same `=ucostheta` the vertical component becomes
`V=e(usintheta)`
New range `R'=(2ucostheta.eusintheta)/g`
`R'=eR`