To solve for [tex]\( t \)[/tex] from the given formula [tex]\( v = u + a t \)[/tex], we need to isolate [tex]\( t \)[/tex] on one side of the equation. Here are the steps to do that:
1. Start with the given formula:
[tex]\[
v = u + a t
\][/tex]
2. Subtract [tex]\( u \)[/tex] from both sides to begin isolating [tex]\( t \)[/tex]:
[tex]\[
v - u = a t
\][/tex]
3. Divide both sides of the equation by [tex]\( a \)[/tex] to solve for [tex]\( t \)[/tex]:
[tex]\[
t = \frac{v - u}{a}
\][/tex]
Therefore, the correct answer is:
[tex]\[ t = \frac{v - u}{a} \][/tex]
So among the given options, the correct one is:
[tex]\[ \boxed{\text{B. } t = \frac{v-u}{a}} \][/tex]
