$A$ small ball of mass $m$ starts at a point $A$ with speed $v_0$ and moves along a frictionless track $AB$ as shown. The track $BC$ has a coefficient of friction $\mu$. The ball comes to a stop at $C$ after traveling a distance $L$. The value of $L$ is:

• A
  $\frac{2h}{\mu} + \frac{v_0^2}{2\mu g}$
• B
  $\frac{h}{\mu} + \frac{v_0^2}{2\mu g}$
• C
  $\frac{h}{2\mu} + \frac{v_0^2}{\mu g}$
• D
  $\frac{h}{2\mu} + \frac{v_0^2}{2\mu g}$