Horizontal Height in a Circle in terms of Time
Background: a Ferris Wheel has a diameter of 135 feet and a maximum height of 150 feet. Its ride duration is 10 minutes and it makes two complete rotations in this time. Assume that at time t = 0, a rider is at the point farthest to the right, and that the ferris wheel is rotating counterclockwise from the side that you are looking at it.
Question: What is the equation of a rider’s horizontal position x as a function of the time t in minutes. Assume that the x-position of the center of the wheel is 0 feet?