A bicyclist is coasting down a hill with a slope of 4° into a headwind (measured with respect to the ground) of 7 m/s. Th e mass of the cyclist and bicycle is 80 kg, and the coeffi cient of rolling...

A bicyclist is coasting down a hill with a slope of 4° into a headwind (measured with respect to the ground) of 7 m/s. Th e mass of the cyclist and bicycle is 80 kg, and the coeffi cient of rolling friction is 0.02. Th e drag coeffi cient is 0.5, and the projected area is 0.5 m2 . Th e air density is 1.2 kg/m3 . Find the speed of the bicycle in meters per second