Answer
$190\frac{m}{s}$
Work Step by Step
As we know that
$\Delta t=\frac{\Delta \theta}{\omega}$
$\Delta t=\frac{\frac{1}{16}}{5.40}=0.0012s=1.2ms$
Now $v=\frac{\Delta x}{\Delta t}$
We plug in the known values to obtain:
$v=\frac{0.645-0.420}{0.0012}=190\frac{m}{s}$
