Coles Elliott
12/01/2023 · High School
A ferris wheel is 10 meters in diameter and boarded from a platform that is 5 meters above the ground. The six o'clock position on the ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 4 minutes. The function \( h=f(t) \) gives your height in meters above the ground \( t \) minutes after the wheel begins to turn. Write an equation for \( h=f(t) \). \( f(t)=5 \sin \left(\frac{\pi}{2} t\right)+10 \)
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The equation for the height \( h \) above the ground as a function of time \( t \) is given by:
\[ h = f(t) = 5 \sin\left(\frac{\pi}{2} t\right) + 10 \]
This equation represents the height of a person on the ferris wheel as a function of time. The term \( 5 \sin\left(\frac{\pi}{2} t\right) \) represents the vertical oscillation of the person on the ferris wheel, and the term \( 10 \) represents the height of the platform above the ground.
Quick Answer
The equation for height \( h \) as a function of time \( t \) is \( h = 5 \sin\left(\frac{\pi}{2} t\right) + 10 \).
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