Block A can slide relative to block B which, in turn, can slide on a perfectly smooth horizontal plane. If the initial velocity of A is v0, and the initial velocity of B is 0, find the final velocities of the two blocks and the distance that A slides relative to B.

the final velocity of the two blocks is

the distance that A slides relative to B is  

Explanation:

From the diagram below;

acceleration of A relative to B is :

where

v = u + at

Making t the subject of the formula; we have:

 which implies the distance that A slides relative to B.

The final velocities of the two blocks can be determined as follows:

v = u + at

Thus, the final velocity of the two blocks is

we need to know the time interval during which the force acts. impulse of force = momentum change

there are no contact forces mentioned on the list of choices that you've provided.