A Ferris wheel is 29 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 16 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 = 14.5 meters Midline: h = 15.5 meters Period: P = 16 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 52 minutes?
A Ferris wheel is 29 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 16 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 = 14.5 meters Midline: h = 15.5 meters Period: P = 16 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 52 minutes?
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 15CT
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I need the formula for part b and the formula for c.
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