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

can u provide the graph and if its not possible

then i can tell u the segment where the

average time interval starts degrading is the segment where the car is slowing down