Simple extension to problem by Nishant Rai

A uniform disc of mass $m$ and radius $R$ starts with a velocity $v_{o}$ on a rough horizontal floor with a purely sliding motion at time $t=0$ . At time $t=t_{o}$ disc starts rolling without sliding. Which of the following is/are true?

(A) Work done by frictional force up to time $t \le t_0$ is given by $\frac{m \mu gt}{2} \left( 3 \mu gt - 2 v_0 \right)$ .

(B) Work done by frictional force up to time $t \le t_0$ is given by $\frac{m \mu gt}{2} \left( 2 \mu gt - 3 v_0 \right)$ .

(C) Work done by frictional force up to time $t =2t_0$ is given by ${m \mu gt}\left( 3 \mu gt - 2 v_0 \right)$ .

(D) Work done by frictional force up to time $t =2 t_0$ is given by $\frac{m \mu gt}{2} \left( 3 \mu gt - 2 v_0 \right)$ .