3. A Ferris wheel of diameter 18.5 m rotates at a rate of 0.2 rad/s. If passengers board the lowest car at aheight of 3 m above the ground, determine a cosine function that models the height, h, in metres, of thecar relative to the ground as a function of the time, t, in seconds.✓✓✓

Given: Diameter of Ferris wheel=18.5 m, Rotation rate of wheel=0.2 radsTo find: The cosine function…

Answered: 3. A Ferris wheel of diameter 18.5 m…

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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The San Francisco Bay tides vary between 1 foot and 7 feet. The tide is at its lowest point when time (t) is 0 and completes a full cycle in 8 hours. What is the amplitude, period, and midline of a function that would model this periodic phenomenon? A. Amplitude = 6 feet; period = 8 hours; midline: y = 4 B. Amplitude = 6 feet; period = 4 hours; midline: y = 3 C. Amplitude = 3 feet; period = 8 hours; midline: y = 4 D. Amplitude = 3 feet; period = 4 hours; midline: y = 3
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3. A Ferris wheel of diameter 18.5 m rotates at a rate of 0.2 rad/s. If passengers board the lowest car at a height of 3 m above the ground, determine a cosine function that models the height, h, in metres, of the car relative to the ground as a function of the time, t, in seconds.