A Ferris wheel is 27 meters in diameter and completes 1 full revolution in 12 minutes. revolves diameter ground A Ferris wheel is 27 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 f minutes after the wheel begins to turn. a. Find the amplitude, midline, and period of h (t). Enter the exact answers. Amplitude: A = Number meters Midline: h= Number meters Period: P = Number 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 1 meter A
A Ferris wheel is 27 meters in diameter and completes 1 full revolution in 12 minutes. revolves diameter ground A Ferris wheel is 27 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 f minutes after the wheel begins to turn. a. Find the amplitude, midline, and period of h (t). Enter the exact answers. Amplitude: A = Number meters Midline: h= Number meters Period: P = Number 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 1 meter A
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 53P: A surveyor measures the distance across a straight river by the following method: starting directly...
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