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Time left 1:40:16 Quiz r Time (s) If the ground level is the reference point, the amplitude and median of the sinusoidal function are respectively, Select one: a. 60 and 60 b. 120 and 75 c. 120 and 135 d. 60 and 75. A mass is attached to a hanging spring during a physics experiment. A motion sensor records the height of the mass above a table as it oscillates up and down. A Time (s) 0 0.25 0.5 0.75 1.0 1.25 1.5 Height (cm) 18 14 10 14 18 14 10 The height of the mass above the table as a function of time can be modeled by a sinusoidal regression. The period of this function, to the nearest second, is 5 12 L

          Time left 1:40:16
Quiz r
Time (s)
If the ground level is the reference point, the amplitude and median of the sinusoidal function are respectively,
Select one:
a. 60 and 60
b. 120 and 75
c. 120 and 135
d. 60 and 75.
A mass is attached to a hanging spring during a physics experiment. A motion sensor records the height of the mass above a table as it oscillates up
and down.
A
Time (s) 0 0.25 0.5 0.75 1.0 1.25 1.5
Height (cm) 18 14 10 14 18 14 10
The height of the mass above the table as a function of time can be modeled by a sinusoidal regression.
The period of this function, to the nearest second, is
5
12
L
        
Show more…
Time left 1:40:16
Quiz r
Time (s)
If the ground level is the reference point, the amplitude and median of the sinusoidal function are respectively,
Select one:
a. 60 and 60
b. 120 and 75
c. 120 and 135
d. 60 and 75.
A mass is attached to a hanging spring during a physics experiment. A motion sensor records the height of the mass above a table as it oscillates up
and down.
A
Time (s) 0 0.25 0.5 0.75 1.0 1.25 1.5
Height (cm) 18 14 10 14 18 14 10
The height of the mass above the table as a function of time can be modeled by a sinusoidal regression.
The period of this function, to the nearest second, is
5
12
L

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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The london eye, a ferris wheel in london , has a diameter of 120 m and its entry platform is 15m above ground. As the london eye rotates, the height above the ground of each individual rider follows a sinusoidal pattern, as shown below. If the ground level is the reference point, the amplitude and median of the sinusoidal function are respectively, Select one: a. 60 and 60 b. 120 and 75 c. 120 and 135 d. 60 and 75 and down. able[[Time (s),0,0.25,0.5,0.75,1.0,1.25,1.5],[Height (cm),18,14,10,14,18,14,10]] The height of the mass above the table as a function of time can be modeled by a sinusoidal regression. The period of this function, to the nearest second, is S. Time left 1:40:16 Quiz r Time(s) If the ground level is the reference point, the amplitude and median of the sinusoidal function are respectively. Select one: 12 Oa.60and60 b.120and75 c.120and135 O d.60 and 75 and down. Time (s) 0 0.25 0.5 0.75 1.0 1.25 1.5 Height (cm) 18 14 10 14 18 14 10 The height of the mass above the table as a function of time can be modeled by a sinusoidal regression. The period of this function, to the nearest second, is
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The London Eye is a giant Ferris wheel in London, England. It stands 135 meters tall with a diameter of 120 meters. It takes half an hour to complete one revolution. Find a cosine function of the form h(t) = A cos(Bt - C) + D to model the height, h (in meters), of a passenger riding the London Eye as a function of time t (in minutes). Assume the passenger is at the bottom of the wheel at time t = 0. Sketch the graph of one period on the next page and use it to help you answer the following questions and create your function. 1. What is a rider's height at t = 0 minutes? (Hint: It is not 0 meters) 2. How long does it take for a rider to reach the top? What is the rider's height at that time? 3. What is the period of this function? Use the period to find B. 4. What is the vertical shift and amplitude of this function? 5. Find The Equation Of Your Cosine Function. 6. Use your function to find a rider's height at t=21minutes. 7. Sketch the graph of your function. (This helps to answer the previous questions)

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The height of a rider on a Ferris wheel can be modelled by the sinusoidal regression function h = 6 sin(1.05t - 1.57) + 8 where h is the height of the rider above the ground, in metres, and t is the time in minutes after the ride starts. a) According to the sinusoidal regression function, what is the maximum height of the rider above the ground? (6 marks) b) When the rider is at least 11.5 m above the ground, she can see the rodeos grounds. During each rotation of the Ferris wheel, what is the length of time that the rider can see the rodeo grounds? Round your answer to the nearest tenth of a minute. (6 marks) Hint: Graph Y1 = 6 sin(1.05t - 1.57) + 8 and Y2 = 11.5 Use window settings x:[0,7,1], y:[0,15,1] and find the intersection points between the graphs. Whenever Y1 is above Y2, she will be able to see the rodeo grounds. Find the first time Y1 is above Y2 and then find the second time Y1 is above Y2. Subtract the first time from the second time and you will have the length of time that she can see the rodeo grounds.

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Ferris wheel 60 meters in diameter and boarded at its lowest point (6 O'Clock) from a platform which is 20 meters above ground. The wheel makes one full rotation every 12 minutes, and at time t = 0 you are at the highest point on the ferris wheel (at 12 O'Clock). Let h = f(t) denote your height above ground in meters after t minutes. (a) What is the period of the function h = f(t)? Include units in your answer. (b) What is the midline of the function h = f(t)? Include units in your answer. (c) What is the amplitude of the function h = f(t)? Include units in your answer. (d) Consider the six possible graphs of h = f(t) below. Be sure to enlarge each graph and carefully read the labels on the axes in order distinguish the key features of each graph. Which (if any) of the graphs A-F represents two full revolutions of the ferris wheel plus the additional partial revolution needed to return to the loading platform of the ferris wheel described above? Write a function f(t) that describes the height of the passenger as a function of time.

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Transcript

-
00:02 Hello everyone so we will use a course module.
00:10 So here this is the diameter this is the height 35 meter 30 minutes 15 meter plus 15 meter for one revolution so here period is 30 minutes so now here the answer the end amplitude is 60.
01:05 So maximum occurs at 15 and 135.
01:14 Now we need to shift 15 units...
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