A uniform circular disc of radius `r` . 1placed on a rough horizontal plane has initial velocity `v_(0)` and an angular velocity `omega_(0)` as shown. The disc comes to rest after moving some distance in the direction of motion. Then
A. the friction force acts in the backwards direction
B. the point of contact of disc with ground has zero velocity
C. `v_(0)` must be equal to `(romega_(0))/2` in magnitude
D. `v_(0)` must be equal to `2romega_(0)` in magnitude