Question about Trigonometric Function: Periodicity
Subject Mathematics
Mathematics
Source Originais Teachy
Originais Teachy
Topic Trigonometric Function: Periodicity
Trigonometric Function: Periodicity
Difficulty Medium
Medium
(Originais Teachy 2023) - Question Medium of Mathematics
A ferris wheel has a radius of 10 meters and completes a full circular motion every 2 minutes. A seat of 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 4 minutes and the seat will be at a height of 20 meters at t = 1 minute.
b.
The period of the function is 2 minutes and the seat will be at a height of 20 meters at t = 0.5 minutes.
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 4π minutes and the seat will be at a height of 20 meters at t = π minutes.
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 sheet:
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Answer sheet
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