To solve for [tex]\( t \)[/tex] in the equation:
[tex]\[ v = u + a t, \][/tex]
we follow these algebraic steps:
1. Isolate the term involving [tex]\( t \)[/tex]:
Start with the original equation:
[tex]\[ v = u + a t. \][/tex]
2. Subtract [tex]\( u \)[/tex] from both sides of the equation to isolate [tex]\( a t \)[/tex]:
[tex]\[ v - u = a t. \][/tex]
3. Solve for [tex]\( t \)[/tex] by dividing both sides of the equation by [tex]\( a \)[/tex]:
[tex]\[ t = \frac{v - u}{a}. \][/tex]
Therefore, the correct answer is:
B. [tex]\( t = \frac{v - u}{a} \)[/tex]
Thus, when solving for [tex]\( t \)[/tex] in the formula [tex]\( v = u + a t \)[/tex], we find that the correct expression is [tex]\( \frac{v - u}{a} \)[/tex].
