How can I use various concepts of physics to investigate car crashes as a forensic consultant in the following situation:

Need to devise a way to determine the coefficient of friction between two surfaces - the rubber tires of a vehicle and the asphalt road using a collision process. This will help to relate the length of the skid marks to the speed of a vehicle before it started skidding.

In a collision a spring-loaded plunger of a dynamics cart, launch the cart towards a stationary wooden friction block on a track. The cart and block collide and, with the use of velcro, stick together and slide to a stop. This process resembles a collision between a car in motion and a car at rest. The distance that the carts slide on the track represents the distance the cars skid after the collision.

the goal is tocome up with the mathematical model that will help us find the coefficient of friction between two surfaces.