precalculus

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A ferris wheel is 20 meters in diameter and boarded from a platform that is 3 meters above the ground. The six o'clock position on the ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 10 minutes. The function h = f(t) gives your height in meters above the ground t minutes after the wheel begins to turn. Write an equation for h = f(t)

  • precalculus -

    assuming we take f(0) = 3 because that's where a seat starts, we want f(x) to have a minimum of 3, an amplitude of 10 (the wheel radius) and a period of 10

    f(t) = 3 + 10(1-cos(2pi t/10))

    since cos has a max at t=0, 1-cos has a min.

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