The skid marks made by an automobile indicated that its brakes were fully applied for a distance of 80 m before it came to a stop. The car in question is known to have a constant deceleration of 15m/s^2under these conditions.

a. Set up a differential equation model describing the process and solve it.

b. How fast -inkm/h - was the car travelling when the brakes were first applied?

c. How long did it take to come to a complete stop?