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A Ferris wheel is 26 meters in diameter and completes 1 full revolution in 8 minutes. revolves diameter 1 meter ground A Ferris wheel is

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A Ferris wheel is 26 meters in diameter and completes 1 full revolution in 8 minutes. revolves diameter 1 meter ground A Ferris wheel is 26 meters in diameter and boarded from a platform that is 1 meter 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 8 minutes. The function h (t) gives a person's height in meters above the ground t minutes after the wheel begins to turn. a. Find the amplitude, midline, and period of h (t). Enter the exact answers. Amplitude: A = 13 meters Midline: h = 14 meters Period: P = 8 minutes b. Assume that a person has just boarded the Ferris wheel from the platform and that the Ferris wheel starts spinning at time t = 0. Find a formula for the height function h (t). Hints: What is the value of h (0)? . Is this the maximum value of h (t), the minimum value of h (t), or a value between the two? . The function sin (t) has a value between its maximum and minimum at t = 0 , so can h (t) be a straight sine function? . The function cos (t) has its maximum at t - 0, so can h (t) be a straight cosine function? c. If the Ferris wheel continues to turn, how high off the ground is a person after 20 minutes? 27

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