A Ferris wheel is24 meters in diameter andcompletes1 full revolution in8 minutes.

A Ferris wheel is24meters in diameter and boarded from a platform that is1meter above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes1 full revolution in8minutes. The functionh(t)gives a person's height in meters above the groundt minutes after the wheel begins to turn

A. Find the amplitude, midline, and period ofh(t).

Enter the exact answers.

Amplitude: A = ? meters

Midline h= ? meters

Period: P = ? meters

b.Assume that a person has just boarded the Ferris wheel from the platform and that the Ferris wheel starts spinning at timet=0 .Find a formula for the height functionh(t).

Hints:

• What is the value ofh(0) ?
• Is this the maximum value ofh(t) , the minimum value ofh(t), or a value between the two?
• The functionsin(t)has a value between its maximum and minimum att=0, so canh(t)be a straight sine function?
• The functioncos(t)hasits maximum att=0 , so canh(t) be a straight cosine function?

c.If the Ferris wheel continues to turn, how high off the ground is a person after26

minutes?

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