A car coasts down a very long hill. The weight of the car is 2000 lbf, and the slope of the grade is 6%. The rolling friction coefficient is 0.01. The frontal area of the car is 18 ft 2 , and the drag...

A car coasts down a very long hill. The weight of the car is 2000 lbf, and the slope of the grade is 6%. The rolling friction coefficient is 0.01. The frontal area of the car is 18 ft², and the drag coefficient is 0.29. The density of the air is 0.002 slugs /ft³. Find the maximum coasting speed of the car in mph.