Answer
$$
s=0.304 \mathrm{ft}
$$
Work Step by Step
$$
\begin{aligned}
& v_G=(0.02) 70=1.40 \mathrm{ft} / \mathrm{s} \\
& T_1+\Sigma U_{1-2}=T_2 \\
& 0+(0.3)(s)=\frac{1}{2}\left(\frac{0.3}{32.2}\right)(1.40)^2+\frac{1}{2}\left[(0.06)^2\left(\frac{0.3}{32.2}\right)\right](70)^2 \\
& s=0.304 \mathrm{ft}
\end{aligned}
$$
