Solve for t v=u+at

$v = u + a t$

Rewrite the equation as $u + a t = v$ .

$u + a t = v$

Subtract $u$ from both sides of the equation.

$a t = v - u$

Divide each term in $a t = v - u$ by $a$ and simplify.

Divide each term in $a t = v - u$ by $a$ .

$\frac{a t}{a} = \frac{v}{a} + \frac{- u}{a}$

Simplify the left side.

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{a t}{a} = \frac{v}{a} + \frac{- u}{a}$

Divide $t$ by $1$ .

$t = \frac{v}{a} + \frac{- u}{a}$

Simplify the right side.

Move the negative in front of the fraction.

$t = \frac{v}{a} - \frac{u}{a}$