Solve for vբ a=(v_f-v_i)/t

$a = \frac{v_{f} - v_{i}}{t}$

Rewrite the equation as $\frac{v_{f} - v_{i}}{t} = a$ .

$\frac{v_{f} - v_{i}}{t} = a$

Multiply both sides by $t$ .

$\frac{v_{f} - v_{i}}{t} t = a t$

Simplify the left side.

Cancel the common factor of $t$ .

Cancel the common factor.

$\frac{v_{f} - v_{i}}{t} t = a t$

Rewrite the expression.

$v_{f} - v_{i} = a t$

Add $v_{i}$ to both sides of the equation.

$v_{f} = a t + v_{i}$