To make [tex]\( a \)[/tex] the subject of the equation [tex]\( v^2 = u^2 + 2 a s \)[/tex], follow these steps:
1. Start with the given equation:
[tex]\[
v^2 = u^2 + 2 a s
\][/tex]
2. Isolate the term involving [tex]\( a \)[/tex] by subtracting [tex]\( u^2 \)[/tex] from both sides:
[tex]\[
v^2 - u^2 = 2 a s
\][/tex]
3. Solve for [tex]\( a \)[/tex] by dividing both sides by [tex]\( 2s \)[/tex]:
[tex]\[
a = \frac{v^2 - u^2}{2s}
\][/tex]
So, the final formula making [tex]\( a \)[/tex] the subject is:
[tex]\[
a = \frac{v^2 - u^2}{2s}
\][/tex]
