Fitzgerald Huang
09/03/2023 · High School
ferris wheel of radius 25 metres, placed one meter above the ground, varies sinusoidally with time. The erris wheel makes one rotation every 24 seconds. Adam is sitting 26 metres from the ground and rising ven 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 \( h(t) = 25 \cos\left(\frac{\pi}{12} t\right) + 26 \).
b. 16 seconds after starting, a person would be about 13.5 meters above the ground.
c. A person is more than 35 meters in the air for about 13.32 seconds during each rotation.
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