208 12 10 Height (m) a 2 0 RYAN'S FERRIS WHEEL RIDE (A) Ferris Wheel A 10 20 50 60 70 Height (m) 12 10 8 4 2 O CRAIG'S FERRIS WHEEL RIDE (B) Ferris Wheel B 10 30 40 Time (s) Period (time it takes to complete one cycle) - what does this represent for the Ferris wheel? 20 30 40 Time (s) 50 60 70 Equation of the Axis (equation of the horizontal line that cuts the graph in half) - what part of the Ferris wheel does this represent? Amplitude (distance from the axis to the maximum) – what part of the Ferris wheel does this represent?

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

At an amusement park, a math teacher had different students ride two Ferris wheels. Ryan rode of Ferris
wheel A and Craig rode on Ferris wheel B. The teacher collected data and produced the two graphs below.
Use the chart below to compare the two Ferris wheels.

Using both equations, determine Ryan and Craig’s height at 15 minutes

What is the range for each Ferris Wheel:
Range A: ________________________________ Range B: ______________________________

Height (m)
12
10
00
8
10
4
2
0
RYAN'S FERRIS WHEEL RIDE (A)
Ferris Wheel A
10
20 30
60
70
Height (m)
20
12
10
00
6
4
2
0
CRAIG'S FERRIS WHEEL RIDE (B)
Ferris Wheel B
10 20
30 40
Time (s)
50
40 50
Time (s)
Period (time it takes to complete one cycle) - what does this represent for the Ferris wheel?
60 70
Equation of the Axis (equation of the horizontal line that cuts the graph in half) - what part of the Ferris
wheel does this represent?
Amplitude (distance from the axis to the maximum) - what part of the Ferris wheel does this represent?
Transcribed Image Text:Height (m) 12 10 00 8 10 4 2 0 RYAN'S FERRIS WHEEL RIDE (A) Ferris Wheel A 10 20 30 60 70 Height (m) 20 12 10 00 6 4 2 0 CRAIG'S FERRIS WHEEL RIDE (B) Ferris Wheel B 10 20 30 40 Time (s) 50 40 50 Time (s) Period (time it takes to complete one cycle) - what does this represent for the Ferris wheel? 60 70 Equation of the Axis (equation of the horizontal line that cuts the graph in half) - what part of the Ferris wheel does this represent? Amplitude (distance from the axis to the maximum) - what part of the Ferris wheel does this represent?
Peak and Trough (maximum and minimum height)
Phase Shift and Vertical Displacement
Equation
Transcribed Image Text:Peak and Trough (maximum and minimum height) Phase Shift and Vertical Displacement Equation
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