Recall the ferris wheel context: Suppose that Arman is boarding a ferris wheel at the bottom-most point of the ride. The ferris wheel has a radius of 36 feet, and the bottom-most point of the ferris wheel is 5 feet off the ground. The ferris wheel rotates at a rate of 0.07 radians per second, and each ferris wheel ride lasts for three full rotations of the ferris wheel. a. Determine a function rule for h, which outputs d, Arman's height above the ground (in feet), in terms of t, the number of seconds since the ferris wheel began rotating. h(t) = 36sin(0.07t-pi/2)+41 Preview b. Over the course of the ferris wheel ride, how many times is Arman 77 feet above the ground? three times Determine the number of seconds that have gone by since the ferris wheel ride began that Arman is 77 feet above the ground. (Enter your answers as a comma-separated list, i.e. t = 1, 5, 7,etc.) t = Preview c. The problem you just solved is similar to solving which of the following equations? (There may be more that one correct answer!) V sin (0.07t – ) Of(t) = 0 V f(t) = 77 Ot = 0 Of(t) = 41 36 sin (0.07t – 5) + 41 = 77
Recall the ferris wheel context: Suppose that Arman is boarding a ferris wheel at the bottom-most point of the ride. The ferris wheel has a radius of 36 feet, and the bottom-most point of the ferris wheel is 5 feet off the ground. The ferris wheel rotates at a rate of 0.07 radians per second, and each ferris wheel ride lasts for three full rotations of the ferris wheel. a. Determine a function rule for h, which outputs d, Arman's height above the ground (in feet), in terms of t, the number of seconds since the ferris wheel began rotating. h(t) = 36sin(0.07t-pi/2)+41 Preview b. Over the course of the ferris wheel ride, how many times is Arman 77 feet above the ground? three times Determine the number of seconds that have gone by since the ferris wheel ride began that Arman is 77 feet above the ground. (Enter your answers as a comma-separated list, i.e. t = 1, 5, 7,etc.) t = Preview c. The problem you just solved is similar to solving which of the following equations? (There may be more that one correct answer!) V sin (0.07t – ) Of(t) = 0 V f(t) = 77 Ot = 0 Of(t) = 41 36 sin (0.07t – 5) + 41 = 77
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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How do I find t?
Transcribed Image Text:Recall the ferris wheel context:
Suppose that Arman is boarding a ferris wheel at the bottom-most point of the ride. The ferris wheel has a radius of 36 feet, and the bottom-most
point of the ferris wheel is 5 feet off the ground. The ferris wheel rotates at a rate of 0.07 radians per second, and each ferris wheel ride lasts for
three full rotations of the ferris wheel.
a. Determine a function rule for h, which outputs d. Arman's height above the ground (in feet), in terms of t, the number of seconds since the
ferris wheel began rotating.
h(t) = 36sin(0.07t-pi/2)+41
Preview
b. Over the course of the ferris wheel ride, how many times is Arman 77 feet above the ground?
three times
Determine the number of seconds that have gone by since the ferris wheel ride began that Arman is 77 feet above the ground. (Enter your
answers as a comma-separated list, i.e. t = 1, 5, 7.etc.)
t =
Preview
c. The problem you just solved is similar to solving which of the following equations? (There may be more that one correct answer!)
O sin(0.07t – 5)
= 1
Of(t) = 0
Vf(t) = 77
Ot = 0
Of(t) = 41
O 36 sin (0.07t – 5)
+ 41 = 77
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