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Huang Patel
11/07/2023 · Elementary School

1. A ferris wheel of radius 25 metres, placed one meter above the ground, varies sinusoidally with time. The ferris wheel makes one rotation every 24 seconds. Adam is sitting 26 metres from the ground and rising when it starts to rotate. a. Write a sinusoidal function that describes the function from Adam's starting position. b. How high above the ground would a person be 16 seconds after the ferris wheel starts moving? c. How many seconds on each rotation is a person more than 35 metres in the air?

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a. The sinusoidal function is y = 25 * sin((2π / 24)x) + 1. b. A person would be approximately 22.65 meters above the ground 16 seconds after the ferris wheel starts moving. c. The ferris wheel never reaches a height of 35 meters above Adam's starting position during one rotation, so there are 0 seconds on each rotation when a person is more than 35 meters in the air.

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