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Question about Functions: Trigonometric

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Originais Teachy

Functions: Trigonometric

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(Originais Teachy 2023) - Question Medium of Math

A Ferris wheel has a radius of 10 meters and completes a full circular motion every 2 minutes. A seat on the Ferris wheel is initially at a height of 12 meters above the ground. Consider the function that describes the height (in meters) of a seat as a function of time (in minutes), h(t) = 10sin(πt) + 12. Determine the period of this function and at what time t the seat will be at a height of 20 meters.
a.
The period of the function is 4π minutes and the seat will be at a height of 20 meters at t = π minutes.
b.
The period of the function is 4 minutes and the seat will be at a height of 20 meters at t = 1 minute.
c.
The period of the function is 2 minutes and the seat will be at a height of 20 meters at t = 1 minute.
d.
The period of the function is 2 minutes and the seat will be at a height of 20 meters at t = 0.5 minute.
e.
The period of the function is 2π minutes and the seat will be at a height of 20 meters at t = π/2 minutes.

Answer:

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