Sure, let's solve the equation [tex]\( v = u + a t \)[/tex] to make [tex]\( a \)[/tex] the subject of the formula.
1. Start with the given equation:
[tex]\[
v = u + a t
\][/tex]
2. We want to isolate [tex]\( a \)[/tex]. To do this, subtract [tex]\( u \)[/tex] from both sides:
[tex]\[
v - u = a t
\][/tex]
3. Now, we need [tex]\( a \)[/tex] by itself on one side of the equation. To achieve this, we divide both sides by [tex]\( t \)[/tex]:
[tex]\[
\frac{v - u}{t} = a
\][/tex]
So, the equation with [tex]\( a \)[/tex] as the subject is:
[tex]\[
a = \frac{v - u}{t}
\][/tex]
Thus, the final solution is:
[tex]\[
a = \frac{v - u}{t}
\][/tex]
