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The Wonder Wheel at Coney Island, New York, has a diameter of 135 feet and a maximum height of 150 feet. Its ride duration is

The Wonder Wheel at Coney Island, New York, 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.

1. Write an equation to give 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.

2. Rewrite both equations if the ferris wheel is rotating clockwise instead.

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