A body A moves towards a wall with velocity `V`. The wall also moves towards the body `A` with velocity `V_(0)`. After collision the body moves in opposite direction with velocity `V^(1)` which is `(1+(2V_(0))/(V))` times the velocity `V`. The coefficient of restitution is

Options

A. `1/4`
B. `1/3`
C. `1`
D. `1/2`

Answer

`(3)`

Explanation

`e = (v_(2) - v_(1))/(u_(1) - u_(2)) = (- v_(0) + v^(1))/(v + v_(0))`
given `v^(1) = (1 + (2v_(0))/v)v`