A solid sphere with moment of inertia $I=(\frac{2}{5})M{R}^2$ rolls down an incline of angle $25$ relative to the horizontal. If the initial height of the center of mass of the sphere is $h,$ what is the speed of the center of mass of the sphere when its height is $\frac{h}{2}?$

A$.v=\sqrt[\phantom{2}]{\frac{10}{7}gh}$

B$.v=\sqrt[\phantom{2}]{\frac{5}{7}gh}$

C$.v=\sqrt[\phantom{2}]{\frac{2}{5}gh}$

D$.v=\sqrt[\phantom{2}]{gh}$