A ferris wheel is 40 meters in diameter and boarded from a platform that is 2 me

Question

A ferris wheel is 40 meters in diameter and boarded from a platform that is 2 meters above the ground. The six o'clock position on the ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 6 minutes. The function h = f(t) gives your height in meters above the ground t minutes after the wheel begins to turn.

-Find Amplitude in meters.

-Find Midline in meters.

-Find Period in minutes.

-How high (meters) are you off of the ground after 3 minutes?

Due in 5 hours, 3 minutes. Due Wed 01/18/2017 11:59 pm Show Intro/Instructions A ferris wheel is 40 meters in diameter and boarded from a platform that is 2 meters above the ground. The six o'clock position on the ferris wheel is level with the loading platform. The wheel completes l full revolution in 6 minutes. The function h fRt) gives your height in meters above the ground t minutes after the wheel begins to turn What is the Amplitude? meters What is the Midline? y meters What is the Period? y minutes How High are you offof the ground after 3 minutes? meters Get help: Video

Explanation / Answer

Since the diameter=40 meters, therefore radius=20 meters and hence amplitude=20 meters

And it complete one full revolution in 6 mins. Therefore period=6

Centre of oscillation 2+20=22 meters

Period,6=2pi/B

B=2pi/6=pi/3

Equation is f(t)=22 -20cos (pi t/3)

And at t=3 we get

f(3)= 22-20cos pi=22+20=42 meters

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