A Ferris wheel is 25 meters in diameter and boarded from a platform that is 1 meter 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 10 minutes. The function h (t) gives a person’s height in meters above the ground t minutes after the wheel begins to turn.

Find the amplitude, midline, and period of h (t).
Find a formula for the height function h (t).
How high off the ground is a person after 5 minutes?

2 answers

Hint: sketch a picture. Use the fact a complete revolution takes 10 minutes... then the function at time 0, that is f(0) = how high off the ground...
Amplitude = wheel radius
Period = how long for one revolution
That should start you off nicely...
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