A person is riding merrily along on his road bicycle at V mph. What is the approximate minimum speed V in mph necessary for him to flip over the handlebars?
Assume that the rider weights 150 lbs, the bike weighs 20 lbs, the rider is 5 feet 8 inches tall, the bike has 700c wheels, the front brake immediately locks the front tire, and that the seat is located 30 inches above the ground. Also assume that the rider/bicycle are one fixed unit.