A sphere of radius $$a$$ and mass $$m$$ rolls along a horizontal plane with constant speed $$v_0$$. It encounters an inclined plane at angle $$\theta$$ and climbs upward. Assuming that it rolls without slipping, how far up the sphere will travel?

A

$$\frac{2}{5}\frac{v_0^2}{g\sin\theta}$$

B

$$\frac{7v_0^2}{10g\sin\theta}$$

C

$$\frac{v_0^2}{5g\sin\theta}$$

D

$$\frac{v_0^2}{2g\sin\theta}$$