Modeling with Periodic Functions Answers

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Which of the following situations can be modeled with a periodic function?

A
the height of a football after it has been thrown
B
the height of a person riding on an escalator
C
the height of a building after it has been constructed
D
the height of a pebble stuck in the tread of a tire
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The displacement, d, in millimeters of a tuning fork as a function of time, t, in seconds can be modeled with the equation . What is the maximum displacement of the tuning fork?

Question illustration
A
0.2 mm
B
0.4 mm
C
0.8 mm
D
2.5 mm
23

The height, h, in feet of a buoy in relation to sea level as a function of time, t, in seconds can be modeled by the graph below. How long does it take for the buoy to go from its highest point to its lowest point and then back to its highest point?

Question illustration
A
1 second
B
2 seconds
C
3 seconds
D
4 seconds

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