Answer:
The correct option is c: 1.5 cm.
Step-by-step explanation:
The amplitude of the motion can be calculated using the following equation:
[tex] A = \frac{v}{\omega} [/tex]
Where:
A: is the amplitude
v: is the speed = 15 cm/s
ω: is the angular speed
First, we need to find the angular speed:
[tex] \omega = \frac{2\pi}{T} [/tex]
Where:
T is the period = 628 ms
[tex] \omega = \frac{2\pi}{T} = \frac{2\pi}{0.628 s} = 10.01 rad/s [/tex]
Now we can find the amplitude:
[tex] A = \frac{v}{\omega} = \frac{15 cm/s}{10.01 s} = 1.5 cm [/tex]
Therefore, the correct option is c: 1.5 cm.
I hope it helps you!
