Bob boards a ferris wheel that spins in the counterclockwise direction. The wheel has a radius of 100 ft. The ride lasts 12 minutes and consistes of 3 complete revolutions. Bob reaches the top for the first time 100 seconds after boarding the wheel. Required:
a. Impose a coordinate system with the origin at the center of the wheel and the top point on the positive y-axis. What are Bob's coordinates at any time t?
b. What are Bob's coordinates after 1 minute?