I have a problem.

I have an event based linear servo motor that I want to move 10 inches into a plate. I want that plate to come into contact with the linear servo motor and travel along with it. However the problem is that the plate continues to have a velocity even after the linear servo motor has stopped moving. This makes physical sense since no force is acting on the plate, hence its velocity would remain constant. However, for the sake of the animation I do not want that to happen. I want the plate to stop moving as soon as my linear servo motor stops moving.

Is there a way to do this?