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A Ferris wheel is 26 meters in diameter and completes 1 full revolution in 12 minutes. revolves 1 meter ground 0 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 12 minutes. The function h (t) gives a person's height in meters above the ground t minutes after the wheel begins to turn. Enter the exact answers. a. Find the amplitude, midline, and period of h (t). Amplitude: A = Number Midline: h= Number Period: P = Number diameter 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 30 minutes? Number

A Ferris wheel is 26 meters in diameter and completes 1 full revolution in 12 minutes. revolves 1 meter ground 0 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 12 minutes. The function h (t) gives a person's height in meters above the ground t minutes after the wheel begins to turn. Enter the exact answers. a. Find the amplitude, midline, and period of h (t). Amplitude: A = Number Midline: h= Number Period: P = Number diameter 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 30 minutes? Number

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A Ferris wheel is 26 meters in diameter and completes 1 full revolution in 12 minutes. revolves 1 meter ground 0 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 12 minutes. The function h (t) gives a person's height in meters above the ground t minutes after the wheel begins to turn. Enter the exact answers. a. Find the amplitude, midline, and period of h (t). Amplitude: A = Number Midline: h= Number Period: P = Number diameter 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 30 minutes? Number
Transcribed Image Text:A Ferris wheel is 26 meters in diameter and completes 1 full revolution in 12 minutes. revolves 1 meter ground 0 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 12 minutes. The function h (t) gives a person's height in meters above the ground t minutes after the wheel begins to turn. Enter the exact answers. a. Find the amplitude, midline, and period of h (t). Amplitude: A = Number Midline: h= Number Period: P = Number diameter 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 30 minutes? Number
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