Answer
$v=2.7 \times 10^6 \mathrm{~m} / \mathrm{s} .
$
Work Step by Step
We use $\Delta x=v_{\mathrm{avg}} t=v t / 2$;
$$
v=\frac{2 \Delta x}{t}=\frac{2\left\{2.0 \times 10^{-2} \mathrm{~m}\right)}{1.5 \times 10^{-s} \mathrm{~s}}\\=2.7 \times 10^6 \mathrm{~m} / \mathrm{s} .
$$
