2. A pellet gun is fired straight downward from the edge of a cliff that is 22.6 m above the ground. The pellet strikes the ground with a speed of \( 36.5 \mathrm{~m} / \mathrm{s} \). What is the initial speed of the pellet? [ \( 29.8 \mathrm{~m} / \mathrm{s} \) ]
\[
\begin{array}{l}
\Delta x=22.6 \mathrm{~m} \\
v_{f}=36.5 \mathrm{~m} / \mathrm{s} \\
v_{i}=? \\
a=9.8 \mathrm{~m} / \mathrm{s}^{2}
\end{array}
\]
\[
\begin{aligned}
\mathbf{m} / \mathbf{s}] & =\sqrt{v_{0}^{2}-2 a \Delta x} \\
& =\sqrt{(36.5 \mathrm{~m} / \mathrm{x})^{2}-2(98 \mathrm{~m} / \mathrm{sx})(22.6 \mathrm{~m})} \\
& =29.821=29.8 \mathrm{~m} / \mathrm{s}
\end{aligned}
\]