5. A ferris wheel has a radius of 26 feet and completes 6 revolutions in 1.5 minutes. a. Find the linear speed of a rider on the edge of the ferris wheel, in miles per hour. Round to the nearest tenth. b. Find the angular speed of the rider in degrees per second. C. Assume the rider begins at the lowest point of the wheel, 2 feet above ground level. Model the height of the rider, in feet above the ground, as a function of time in seconds, using a sine equation with only positive numbers in the final equation. d. What is an appropriate domain and range for the function without context? What is an appropriate domain and range for the function using the context of this problem? Explain your reasoning.

5. A ferris wheel has a radius of 26 feet and completes 6 revolutions in 1.5 minutes. a. Find the linear speed of a rider on the edge of the ferris wheel, in miles per hour. Round to the nearest tenth. b. Find the angular speed of the rider in degrees per second. C. Assume the rider begins at the lowest point of the wheel, 2 feet above ground level. Model the height of the rider, in feet above the ground, as a function of time in seconds, using a sine equation with only positive numbers in the final equation. d. What is an appropriate domain and range for the function without context? What is an appropriate domain and range for the function using the context of this problem? Explain your reasoning.

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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Question

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a. Find the linear speed of a rider on the edge of the ferris wheel, in miles per hour. Round
to the nearest tenth.
b. Find the angular speed of the rider in degrees per second.
c. Assume the rider begins at the lowest point of the wheel, 2 feet above ground level.
Model the height of the rider, in feet above the ground, as a function of time in seconds,
using a sine equation with only positive numbers in the final equation.
d. What is an appropriate domain and range for the function without context? What is an
appropriate domain and range for the function using the context of this problem? Explain
your reasoning.
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