Problem 4. When a car brakes suddenly, it may leave a skid mark. Given an initial driving speed v. (m/s ), gravity 9 (m/ s2) and friction coefficient / (no units), the length of a skid mark (m) is defined by the equation 2 2 d = f(v, M, g) = 2ug The coefficient / changes depending on how slippery the ground is. Example of a skid mark A. Compute f, (5, 0.2, 9.8) and interpret what it means in context of this situation. B. 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 m/ s2. 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