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ID: 3018963 • Letter: S
Question
score in gradebook: ] 0 out of 1 Reattempt last question below, or select another question A Ferris wheel has a radius of 39 feet. The bottom of the Ferris wheel sits 0.6 feet above the ground. You board the Feris wheel at the 6 o'clock position and rotate counter-clockwise a Define a function, f that gives your height above the ground (in feet) in terms of the angle of rotation (measured in pelne o ae radians) you have swept out from the 6 o'clock position, a. Preview b Define a function g that gives your height above the ground (n feed in terms of the number of fet you have rotated ight above the ground (n feet) in terms of the number of feet you have rotated counter-clockwise from the 6 o'clock position, s Preview Points possible: 1 Inlimited attempts Score in gradebook: 0Explanation / Answer
A Ferris wheel has a radius of 39 feet.
so, the amplitude is 39, and you can start with
f(t) = 39*sin(kt)
The bottom of the Ferris wheel sits 0.6 feet above the ground.
So, the axle is 39 + 0.6 = 39.6 feet off the ground:
f(t) = 39.6 + 39*sin(kt)
You board the Ferris wheel at the 6 o'clock position , so instead of being at the axle at t=0, you are at the minimum. That means you need
f(t) = 39.6 – 39*cos(kt)
f that gives your height above the ground in terms of the angle of rotation you have swept out from the 6 o'clock position,
As f was a function of angle . Function will be
f() = 39.6 – 39*cos()
B) for g(s), you just need to recall that arc length s=r
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