Answer
$x_m=1.19cm$
Work Step by Step
We know that $v_m=x_m{\omega}$,
where $v_m$ and $\omega$ represent maximum speed and maximum displacement i.e amplitude respectively.
The above equation simplifies to:
$x_m=\frac{v_m}{\omega}$
We plug in the known values to obtain:
$x_m=\frac{0.15}{4\pi}=0.0119m=1.19cm$
