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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? [ \( 29.8 \mathrm{~m} / \mathrm{s} \) ] \[ \begin{array}{l} \Delta x=22.6 \mathrm{~m} \\ v_{f}=36.5 \mathrm{~m} / \mathrm{s} \\ v_{i}=? \\ a=9.8 \mathrm{~m} / \mathrm{s}^{2} \end{array} \] \[ \begin{aligned} \mathbf{m} / \mathbf{s}] & =\sqrt{v_{0}^{2}-2 a \Delta x} \\ & =\sqrt{(36.5 \mathrm{~m} / \mathrm{x})^{2}-2(98 \mathrm{~m} / \mathrm{sx})(22.6 \mathrm{~m})} \\ & =29.821=29.8 \mathrm{~m} / \mathrm{s} \end{aligned} \]

          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? [ \( 29.8 \mathrm{~m} / \mathrm{s} \) ]
\[
\begin{array}{l}
\Delta x=22.6 \mathrm{~m} \\
v_{f}=36.5 \mathrm{~m} / \mathrm{s} \\
v_{i}=? \\
a=9.8 \mathrm{~m} / \mathrm{s}^{2}
\end{array}
\]
\[
\begin{aligned}
\mathbf{m} / \mathbf{s}] & =\sqrt{v_{0}^{2}-2 a \Delta x} \\
& =\sqrt{(36.5 \mathrm{~m} / \mathrm{x})^{2}-2(98 \mathrm{~m} / \mathrm{sx})(22.6 \mathrm{~m})} \\
& =29.821=29.8 \mathrm{~m} / \mathrm{s}
\end{aligned}
\]
        
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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  m / s. What is the initial speed of the pellet? [ 29.8  m / s ]

    Δ x=22.6  m
        
        vf=36.5  m / s
        
        vi=? 
        
        a=9.8  m / s^2


    𝐦 / 𝐬]     =√(v0^2-2 a Δ x)
        =√((36.5  m / x)^2-2(98  m / sx)(22.6  m))
        =29.821=29.8  m / s

Added by Joel W.

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Physics
John D. Cutnell, Kenneth W. Johnson 9th Edition
Chapter 2
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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? [ \( 29.8 \mathrm{~m} / \mathrm{s} \) ] \[ \begin{array}{l} \Delta x=22.6 \mathrm{~m} \\ v_{f}=36.5 \mathrm{~m} / \mathrm{s} \\ v_{i}=? \\ a=9.8 \mathrm{~m} / \mathrm{s}^{2} \end{array} \] \[ \begin{aligned} \mathbf{m} / \mathbf{s}] & =\sqrt{v_{0}^{2}-2 a \Delta x} \\ & =\sqrt{(36.5 \mathrm{~m} / \mathrm{x})^{2}-2(98 \mathrm{~m} / \mathrm{sx})(22.6 \mathrm{~m})} \\ & =29.821=29.8 \mathrm{~m} / \mathrm{s} \end{aligned} \]
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