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6 October, 07:37

A ferris wheel is 10 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 1 full revolution in 2 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).

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  1. 6 October, 07:58
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    The equation is:

    f (t) = 4 + 5 (1 - cos (2pi t / 2))

    Step-by-step explanation:

    with the previous exercise we look for the equation for h = f (t)

    So the data we have are

    Wheel diameter = 10m (wheel radius = 5m)

    1 wheel gets 1 revolution in 2 minutes.

    the beginning of a entry will be related to that f (0) = 4

    our wish is that f (z) get at least 4 with an amplitude of 5 (this value determines the radius of the wheel) for 2 minutes

    with this the particle f (t) is transformed into

    f (t) = 4 + 5 (1 - cos (2pi t / 2))

    We know that the maximum value of cos in t will be 0, 1 - cos has minutes, the result will be as follows:

    f (t) = 4 + 5 (1 - cos (2pi t / 2))
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