You observe a 1350-kg sports car rolling along flat pavement in a straight line. The only horizontal forces acting on it are a constant rolling friction and air resistance (proportional to the square of its speed). You take the following data during a time interval of25 s: When its speed is 32 m/s, the car slows down at a rate of -0.42 m/S2, and when its speed is decreased to 24 m/s, it slows down at -0.30 m/s2.
(a) Find the coefficient of rolling friction and the air drag constant D.
(b) At what constant speed will this car move down an incline that makes a 22° angle with the horizontal?
(c) How is the constant speed for an incline of angle f3 related to the terminal speed of this sports car if the car drops off a high cliff? Assume that in both cases the air resistance force is proportional to the square of the speed, and the air drag constant is the same.