A man is changing his tire at the top of a hill. He is rolling the spare at 4.83 ft/s when he loses control and the wheel goes down the hill. The wheel has a weight of 35 lb, a mass moment of .965 slft2 and a radius of 14 inches. The hill has an elevation of 77 ft and an inclination of 4 degrees. What is the linear velocity of the wheel at the bottom of the hill?