Question

Byran is pushing his niece, Callie, on a park swing. Her displacement over time can be modeled by the following graph.

How long does it take Callie to complete one full swing?

A.

20 seconds

B.

5 seconds

C.

10 seconds

D.

60 seconds

Answer 1

She takes 20 seconds

Answer 2

Answer: A. 20 seconds

Explanation:

We know that if a function has a repeating pattern then it is called a periodic function (like sine or cosine).

The period is the length of the smallest interval that contains exactly one copy of the repeating pattern. It is the horizontal distance required for the graph of a periodic function to complete one cycle.

From the graph it can be seen that, the horizontal distance required for the graph of a periodic function= 20 .

Therefore, it takes 20 seconds by Callie to complete one full swing.