question archive 1) The Ferris Wheel at a carnival has a diameter of 20 m and descends to 2 m above the ground at its lowest point

1) The Ferris Wheel at a carnival has a diameter of 20 m and descends to 2 m above the ground at its lowest point

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1) The Ferris Wheel at a carnival has a diameter of 20 m and descends to 2 m above the ground at its lowest point. Assume that a rider enters a car at the lowest point and rides the Ferris Wheel which rotates 12 times in 4 minutes.

a) Sketch a rough graph of 1 cycle of the sinusoidal function that models the riders height (in m) above the ground in terms of time in seconds. Label your axes and scale clearly.

b) Write sinusoidal equation that models the rider's height (in m) above the ground in terms

of time (in s). Show all work.

c) What is the height of the rider above the ground at t = 7 sec? Round your answer to the nearest hundredth of a second.

d) At what times (all of them in a 4-minute ride) is the rider at a height of 22m?

 

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