The aerodynamic resistance to motion of a car is nearly proportional to the square of its velocity. Additional friction resistance is constant, so that the acceleration of the car when coasting under braking may be written as a = -C1-C2v2, where C1 = 2 m/s2, C2 = 0.004 m-1. If the car has an initial velocity v0 = 60 mph, when the engine is disengaged,
i) find the distance D required for the car to coast to a stop, and
ii) find the time it takes to come to a halt.