Answer a series of questions about each of the following four scenarios.

1. The height of a seat on a Ferris wheel varies sinusoidally with time (𝑡𝑡) in seconds. The
wheel has a radius of 9 𝑚𝑚, and it rotates once every 60 seconds. Passengers get on at
the boarding platform, which is 1.4 𝑚𝑚 above the ground.

1 answer

a. What is the equation that models the height of the seat above the ground as a function of time?
b. What is the amplitude of the sinusoidal function?
c. What is the period of the sinusoidal function?
d. What is the vertical shift of the sinusoidal function?
e. At what times during the first minute does the seat reach its maximum height above the ground?
f. At what times during the first minute does the seat reach its minimum height above the ground?
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