Derive equation for truck slides before stopping

[ethex]

Homework Statement

A truck of mass M and a car of mass m are traveling at the same speed. Suppose M>m. Now the drivers of both vehicles suddenly apply their brakes and the vehicles slide along the road, which has coefficient of kinetic friction uk. the car stops after sliding a distance d. assuming uk is the same for both vehicle, what is the distance D the truck slides before stopping?

Homework Equations

The Attempt at a Solution

I have drawn the FBD but i do not know how to relate to the stopping distance. The only thing i could think of is work done.

 

[vela]

What is the stopping distance d for the car in terms of its mass and initial speed and the coefficient of kinetic friction?