Problem 5. When a car brakes suddenly, it may leave a skid mark. Given an initial driving speed (m/s), gravity \inline g ( m/s^2) and friction coefficient \inline \mu (no units), the length of a skid mark (m) is defined by the equation d=f(v, u,g)= v^2/2ug ( please see the attachment)

The coefficient changes depending on how slippery the ground is.
Computer and interpret what it means in the context of this situation.
Compute the length of the skid mark when a car is driving 5 meters per second, the friction coefficient is 0.2 and the gravity is 9.8 \inline m/s^2. Then, use differentials to approximate the change in skid length if the velocity increases to 5.2 meters per second and the constant decreases to 0.1.