b
\(\begin{array}{l}
Initial\,speed\,at\,{\rm{point}}\,{\rm{A,u}}\,{\rm{ = }}\,{{\rm{v}}_0}\\
speed\,at\,{\rm{point}}\,B,v = ?\\
\,\,\,\,\,\,\,\,\,\,\,\,{v^2} - {u^2} = 2gh\\
\,\,\,\,\,\,\,\,\,\,\,\,{v^2} = v_0^2 + 2gh\\
Let\,ball\,travels\,{\rm{distance}}\,'S'\,before\\
{\rm{coming}}\,to\,rest
\end{array}\)

\(\begin{array}{l}
S = \frac{{{v^2}}}{{2\mu g}} = \frac{{v_0^2 + 2gh}}{{2\mu g}}\\
 = \frac{{v_0^2}}{{2\mu g}} + \frac{{2gh}}{{2\mu g}} = \frac{h}{\mu } + \frac{{v_0^2}}{{2\mu g}}
\end{array}\)