Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a group of students used a rope swing to cross back and forth over a st…

Question

a group of students used a rope swing to cross back and forth over a stream.
the motion of the students is modeled using a cosine function. what is the amplitude of the function?
4 feet
8 feet
16 feet
32 feet
16 ft.

Explanation:

Step1: Define amplitude for motion

Amplitude = $\frac{\text{Total swing range}}{2}$

Step2: Substitute total range value

Total swing range = 16 feet
Amplitude = $\frac{16}{2}$

Answer:

8 feet