A ferris wheel is 27 meters in diameter and completes 1 full revolution in 8 minutes. A ferris wheel is 27 meters in diameter and boarded from a platform that is 1 meter above the ground. The 6 o'clock position on the Ferris Wheel is level with the loading platform. Th wheel conpletes 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 exact answers b. Assume that a person has just boarded 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 18 minut
A ferris wheel is 27 meters in diameter and completes 1 full revolution in 8 minutes. A ferris wheel is 27 meters in diameter and boarded from a platform that is 1 meter above the ground. The 6 o'clock position on the Ferris Wheel is level with the loading platform. Th wheel conpletes 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 exact answers b. Assume that a person has just boarded 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 18 minut
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A ferris wheel is 27 meters in diameter and completes 1 full revolution in 8 minutes.
A ferris wheel is 27 meters in diameter and boarded from a platform that is 1 meter above the ground. The 6 o'clock position on the Ferris Wheel is level with the loading platform. Th wheel conpletes 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 exact answers
b. Assume that a person has just boarded 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 18 minutes?
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