2
QuizMultiple Choice

Modeling with Periodic Functions

Question 2 • SS26 Math 3 S2 [M3960OX]

A buoy starts at a height of 0 in relation to sea level and then goes up. Its maximum displacement in either direction is 6 feet, and the time it takes to go from its highest point to its lowest point is 4 seconds. Which of the following equations can be used to model h, the height in feet of the buoy in relation to sea level as a function of time, t, in seconds?

Answer
A
h = 4 sine (StartFraction pi Over 6 EndFraction t)
Option A
B
h = 4 sine (StartFraction pi Over 3 EndFraction t)
Option B
C
h = 6 sine (StartFraction pi Over 4 EndFraction t)
Option C
D
h = 6 sine (StartFraction pi Over 2 EndFraction t)
Option D
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