AnswersPrecalculusModeling with Periodic Functions

Modeling with Periodic Functions — Quiz Answers

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4

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 pebble stuck in the tread of a tire
C
the height of a person riding on an escalator
D
the height of a building after it has been constructed
7

The height, h , in feet of a ball suspended from a spring as a function of time, t , in seconds can be modeled by the equation h is equal to negative 2 sine open paren pi times open paren t plus 1 half close paren close paren plus 5 Which of the following equations can also model this situation?

A
h is equal to negative 2 cosine open paren pi times open paren t plus 1 half close paren close paren plus 5
B
h is equal to negative 2 cosine pi t plus 5
C
h is equal to 2 cosine open paren pi times open paren t plus 1 half close paren close paren plus 5
D
h is equal to 2 cosine pi t plus 5
8

A weight attached to a spring is at its lowest point, 9 inches below equilibrium, at time t is equal to 0 seconds. When the weight is released, it oscillates and returns to its original position at t is equal to 3 seconds. Which of the following equations models the distance, d , of the weight from its equilibrium after t seconds?

A
d is equal to negative 3 cosine open paren 2 pi over 9 t close paren
B
d is equal to negative 9 cosine open paren pi over 3 t close paren
C
d is equal to negative 3 cosine open paren pi over 9 t close paren
D
d is equal to negative 9 cosine open paren 2 pi over 3 t close paren
11

A weight attached to a spring is at its lowest point, 9 inches below equilibrium, at time t is equal to 0 seconds. When the weight is released, it oscillates and returns to its original position at t is equal to 3 seconds. Which of the following equations models the distance, d , of the weight from its equilibrium after t seconds?

A
d is equal to negative 9 cosine open paren pi over 3 t close paren
B
d is equal to negative 9 cosine open paren 2 pi over 3 t close paren
C
d is equal to negative 3 cosine open paren pi over 9 t close paren
D
d is equal to negative 3 cosine open paren 2 pi over 9 t close paren
12

The height, h , in feet of a ball suspended from a spring as a function of time, t , in seconds can be modeled by the equation h is equal to negative 2 sine open paren pi times open paren t plus 1 half close paren close paren plus 5 Which of the following equations can also model this situation?

A
h is equal to negative 2 cosine pi t plus 5
B
h is equal to 2 cosine pi t plus 5
C
h is equal to negative 2 cosine open paren pi times open paren t plus 1 half close paren close paren plus 5
D
h is equal to 2 cosine open paren pi times open paren t plus 1 half close paren close paren plus 5
14

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

A
the height of a building after it has been constructed
B
the height of a pebble stuck in the tread of a tire
C
the height of a person riding on an escalator
D
the height of a football after it has been thrown

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