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
E X
Editing
3
4
7.
5. A ferris wheel has
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.
arn
vai
wheel is 2
ground level and the
would be a
n.f
me
aih: In conte
after one period and thus, the ride would end at 15 seconds, so a negative x value
or anything greater than 15 would not make serse Without cont
domain would
je proplem, the domain
P inf) because the rider would
yn.
to
becausp the
able to trae
ed
FEB 4
folder
rk
ANGBRDS
MacBook Air
20
000
F3
F4
四
!!!
Transcribed Image Text:E X Editing 3 4 7. 5. A ferris wheel has 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. arn vai wheel is 2 ground level and the would be a n.f me aih: In conte after one period and thus, the ride would end at 15 seconds, so a negative x value or anything greater than 15 would not make serse Without cont domain would je proplem, the domain P inf) because the rider would yn. to becausp the able to trae ed FEB 4 folder rk ANGBRDS MacBook Air 20 000 F3 F4 四 !!!
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