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?

Transcribed Image Text:an check your answers to part a and c to make s
A Ferris wheel is 27 meters in diameter and cor
revolves
diameter
1meter
ground
A Ferris wheel is 27 meters in diameter and boarc
The six o'clock position on the Ferris wheel is lev
full revolution in 8 minutes. The function h (t) gi-
minutes after the wheel begins to turn.

Transcribed Image Text:Mobius - MAT-140-J4285 Precalc X
m Southern New Hampshire Univer X
mobius.cloud/1396/2704/assignments/110301/0
A
can check your answers to part a and c to make sure that you are on the right track.
A Ferris wheel is 27 meters in diameter and completes 1 full revolution in 8 minutes.
revolves
........... diameter
1 meter
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 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 ofh (t).
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