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The graph below describes your height, h=f(t) , above the ground on a Ferris wheel, where h is in meters and t is time in minutes. You boarded the wheel before t=0 , and the boarding platform is level with the bottom of the wheel.

What is your position and direction at t=0?

You are at the 3 or 9 o'clock position, and ascending.You are at the 6 or 12 o'clock position, and descending.You are at the 3 or 9 o'clock position, and descending.You are at the 6 or 12 o'clock position, and ascending.

How long does it take the wheel to complete one full revolution?

What is the diameter of the wheel?

At what height above the ground do you board the wheel?

What is the length of time the graph shows you riding the wheel?

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Step 1

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Given:

The graph below describes height, h = f (t), above the ground on a Ferris wheel, where h is in meters and t is time in minutes and boarded the wheel before t =0, and the boarding platform is level with the bottom of the wheel.

Step 2

Part (a)

Calculating your position and direction at t = 0:

Here, your height is maximum when you are either at 3 o’clock or 9 o’clock. Since you are falling from Ferris wheel, it must be at 3 o’clock.

Step 3

Finding how much time the wheel takes to complete one full revolution:

You can clearly see that the you get all the way to th...

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