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A Ferris wheel is 29 meters in diameter and completes 1 full revolution in 12 minutes.

A Ferris wheel is29meters 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 completes1full revolution in12minutes. The functionh(t)gives a person's height in meters above the groundtminutes after the wheel begins to turn.

Enter the exact answers.

A.

Amplitude:A=meters

Midline:h =meters

Period:P =minutes

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 after30

minutes?

How to find the phase shift for b?