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1. A person is riding a Ferris wheel. Gary uses a stopwatch and notices that a person is atthe highest point, 80 feet above the ground when t = 3 seconds. When t = 7 seconds theperson is at the lowest point, 20 feet above the ground. Assume that the height of theperson above the ground varies sinusoidally with time.

A. Sketch and label (both axes) a graph showing the distance of the ferris wheel above theground as a function of time.

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B. Write a trigonometric equation for the height (h) of the person above the ground as afunction of time.

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D. Find the first time, t> 0, when the height of the person above the ground is 70 feet.\ .,ctfl.:>O s.e.cc.ACl5.

2. A spring with a weight on it bounces up and down. Sam uses a stopwatch and noticesthat the weight is at its highest, 75 feet above ground, when t = 4 seconds. When t = 6seconds, the weight is at its lowest point, 25 feet above the ground.

A. Sketch and label (both axes) a graph showing the height of the weight above the groundas a function oftime.

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B. Write a sinusoidal eguation for the distance the weight is above the ground as a functionof time.

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