An object is dropped from a height h from the ground. Every time it hits the ground it looses 50% of its kinetic energy. The total distance covered as $t→∞$ is :

Question

$\begin{array}{1 1}(1)\; 2h \\ (2)\; \infty \\ (3)\; 3 h \\ (4)\; \frac{8}{3} h \end{array} $