5. At Canada's Wonderland, a thrill seeker can ride the Xtreme Skyflyer. This is essentially a large pendulum of which the rider is the bob. A vertical net for safety is included. The rider's horizontal distance to the safety net is given for various times: a. Create a graph of the distance of the pendulum from the net with respect to time. (2 marks) b. Find the graph's amplitude, period, vertical translation, and phase shift for this function. Note (2 marks) c. Determine the equation of the modelling function in the form: h(t) = a sin[k(t − d)] + c (2 marks) d. How could the amplitude be determined without creating the graph or finding the function? (1 mark) e. What is the maximum horizontal displacement for this pendulum? (1 mark) f. The time for one complete cycle is the period. How long would it take to complete 15 cycles? (2 marks) 0 1 2 3 4 5 6 7 8 9 Time (s) Distance from net (m) 55 53 40 46 36 25 14 7 5 8 15

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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5. At Canada's Wonderland, a thrill seeker can ride the Xtreme Skyflyer. This is essentially a large
pendulum of which the rider is the bob. A vertical net for safety is included. The rider's horizontal
distance to the safety net is given for various times:
a. Create a graph of the distance of the pendulum from the net with respect to time. (2 marks)
b. Find the graph's amplitude, period, vertical translation, and phase shift for this function.
Note (2 marks)
c. Determine the equation of the modelling function in the form: h(t) = a sin[k(t − d)] + c
(2 marks)
d. How could the amplitude be determined without creating the graph or finding the function?
(1 mark)
e. What is the maximum horizontal displacement for this pendulum? (1 mark)
f. The time for one complete cycle is the period. How long would it take to complete 15 cycles?
(2 marks)
0
1
2
3
4
5
6
7
8
9
Time (s)
Distance from net (m)
55
53
40
46
36
25
14
7
5
8
15
Transcribed Image Text:5. At Canada's Wonderland, a thrill seeker can ride the Xtreme Skyflyer. This is essentially a large pendulum of which the rider is the bob. A vertical net for safety is included. The rider's horizontal distance to the safety net is given for various times: a. Create a graph of the distance of the pendulum from the net with respect to time. (2 marks) b. Find the graph's amplitude, period, vertical translation, and phase shift for this function. Note (2 marks) c. Determine the equation of the modelling function in the form: h(t) = a sin[k(t − d)] + c (2 marks) d. How could the amplitude be determined without creating the graph or finding the function? (1 mark) e. What is the maximum horizontal displacement for this pendulum? (1 mark) f. The time for one complete cycle is the period. How long would it take to complete 15 cycles? (2 marks) 0 1 2 3 4 5 6 7 8 9 Time (s) Distance from net (m) 55 53 40 46 36 25 14 7 5 8 15
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