A ball falls from a height h and rebounds after striking the floor. The coefficient of restitution is $e$. The maximum distance covered before it comes to rest is :

Question

$$\begin {array} {1 1} (1)\;\frac{(1-e^2)h}{e^2} & \quad (2)\;\frac{(1+e^2)h}{e^2} \\ (3)\;\bigg(\frac{1+e^2}{1-e^2}\bigg)h & \quad (4)\;\frac{e^2h}{1-e^2} \end {array}$$