Answer
$x_m=0.30m$
Work Step by Step
The amplitude can be determined from the maximum speed using the formula:
$v_m=x_m\omega$
This can be rearranged as:
$x_m=\frac{v_m}{\omega}$
We know that
$\omega=\sqrt\frac{K}{m}=\sqrt\frac{200}{2}=10\frac{rad}{s}$
We plug in the known values to obtain:
$x_m=\frac{3}{10}=0.30m$
