Joe can pedal his bike at 10 m/s on a straight, level road with no wind. The bike rolling resistance is 0.80 N/ (m/s), i.e. 0.8 N per m/s of speed. The drag area CDA of Joe and his bike is 0.422 m2. Joe’s mass is 80 kg and the bike mass is 15 kg. He now encounters a head wind of 5.0 m/s.
(a) Develop an equation for the speed at which Joe can pedal into the wind. (Hint: A cubic equation.)
(b) Solve for V for this head wind. (c) Why is the result not simply V = 10 − 5 = 5 m/s, as one might first suspect?