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A Ferris wheel is 25 meters in diameter and completes 1 full revolution in 12 minutes. 1 meter revolves diameter ground A Ferris wheel
A Ferris wheel is 25 meters in diameter and completes 1 full revolution in 12 minutes. 1 meter revolves diameter ground A Ferris wheel is 25 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 12 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 Number = Midline: h Number Period: P=Number meters meters 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 39 minutes? Number
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