To solve for the acceleration [tex]\(a\)[/tex] in the equation [tex]\(V^2 = v^2 + 2as\)[/tex], follow these steps:
1. Start with the given equation:
[tex]\[
V^2 = v^2 + 2as
\][/tex]
2. To isolate [tex]\(a\)[/tex], first subtract [tex]\(v^2\)[/tex] from both sides of the equation:
[tex]\[
V^2 - v^2 = 2as
\][/tex]
3. Next, solve for [tex]\(a\)[/tex] by dividing both sides of the equation by [tex]\(2s\)[/tex]:
[tex]\[
a = \frac{V^2 - v^2}{2s}
\][/tex]
This gives us the formula for acceleration [tex]\(a\)[/tex]:
[tex]\[
a = \frac{V^2 - v^2}{2s}
\][/tex]
So, the correct formula solved for [tex]\(a\)[/tex] is:
[tex]\[
\boxed{\frac{V^2 - v^2}{2s} = a}
\][/tex]
