A cylinder rolls without slipping on a rough horizontal floor, its centre of mass moving with speed v. It makes an elastic collision with a smooth vertical wall. After impact

Question

1) its centre of mass will move with a speed V.

2) its motion will be rolling without slipping.

3) the motion will be rolling with slipping initially and its rotational motion will stop momentarily at some instant .

4) its motion will be rolling with out slipping only after some times.

Which one is the correct answer ?

a) 1,2 and 4 b) 1,2 and 3 c) 1,3 and 4 d) 2,3 and 4