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2. A contestant on a game show spins a wheel that is located on a plane perpendicular to the floor. He grabs the only red

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2. A contestant on a game show spins a wheel that is located on a plane perpendicular to the floor. He grabs the only red peg on the circumference of the wheel, which is 2.0m above the floor, and pushes it downward. The red peg reaches a minimum height of 0.5m above the floor and a maximum height of 3.5 m above the floor. Determine the equation of the sine function that represents the height of the red peg above the floor, as a function of the total distance moved.

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