The 30-ft diameter waterwheel at Deleon Springs State Park is an old sugar mill that turns at a rate of 2 rev/min, counterclockwise. Suppose that a coordinate system is chosen with the origin at the bottom of the wheel (at water level). At t = 0, suppose that a point on the wheel is located at (0, 0). 1. Write a function that represents the x position (in feet) of the point as a function of the time t in minutes.
2. Write a function that represents the y position (in feet) of the point as a function of the time t in minutes.
3. Give the coordinates of the point at t = 40 sec and describe the location.