Problem

The final velocity, $V$, of an object under constant acceleration can be found using the formula $V^{2}=v^{2}+2 a s$, where $V$ the initial velocity (in meters per second), $a$ is acceleration (in meters per second), and s is the distance (in meters). What is the formula solved for $a$ ?
$v^{2}-v^{2}-2 s=a$
$v^{2}-v^{2}+2 s=a$
$\frac{v^{2}-v^{2}}{2 s}=a$
$\frac{v^{2}+v^{2}}{2 s}=a$

Answer

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Answer

Final Answer: \(\boxed{a = \frac{V^2 - v^2}{2s}}\)

Steps

Step 1 :Given formula: \(V^2 = v^2 + 2as\)

Step 2 :Isolate 'a': \(a = \frac{V^2 - v^2}{2s}\)

Step 3 :Final Answer: \(\boxed{a = \frac{V^2 - v^2}{2s}}\)

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