A car coasts down a very long hill. Th e weight of the car is 2000 lbf, and the slope of the grade is 6%. Th e rolling friction coeffi cient is 0.01. Th e frontal area of the car is 18 ft2 , and the...

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