Pre-Cal

A Ferris wheel is 40 meters in diameter and boarded from a platform that is 5 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes one full revolution every 7 minutes. You make two complete revolutions on the wheel, starting at t = 0.

Graph h = f(t), where h is the height above the ground (in meters) at time t, in minutes. Indicate the period, the amplitude, and the midline of your graph. [Hint: first determine an appropriate interval for t, with t ≥ 0.]

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  1. r = 20

    period = 7 min = T

    when t = 0
    h = 5 at t = 0 and wheel does rotation between h = 5 and h = 45
    center at h = 25
    so of form
    h = 25 - 20 cos (2 pi t/T )

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