A solid sphere of mass M and radius r slips on a rough horizontal plane. At some instant it has translational velocity ${\mathrm{v}}_0$ and rotational velocity about the centre $\frac{{\mathrm{v}}_0}{2\mathrm{r}}$. The translational velocity after the sphere starts pure rolling is

• A

  $\frac{6{\mathrm{v}}_0}{7}$ in forward direction

• B

  $\frac{6{\mathrm{v}}_0}{7}$ in backward direction

• C

  $\frac{7{\mathrm{v}}_0}{6}$ in forward direction

• D

  $\frac{7{\mathrm{v}}_0}{6} \mathrm{in} \mathrm{backward} \mathrm{direction}$