Answer:
0.19 m (19 cm)
Explanation:
The maximum speed in a simple harmonic motion is given by
[tex]v = A \omega[/tex] (1)
where
A is the amplitude
[tex]\omega[/tex] is the angular frequency, which is given by
[tex]\omega = \frac{2\pi}{T}[/tex] (2)
where T is the period.
By combining (1) and (2), we find
[tex]v=\frac{2\pi A}{T}\\A=\frac{vT}{2\pi}[/tex]
Here we know that
v = 60.0 cm/s = 0.6 m/s is the maximum speed
T = 2.00 s is the period
Substituting into the formula, we find the amplitude:
[tex]A=\frac{(0.6 m/s)(2.0 s)}{2\pi}=0.19 m[/tex]
