Answer
$v_1=ta+v_0$
Work Step by Step
The given formula is
$\Rightarrow a=\frac{v_1-v_0}{t}$
Multiply each side by $t$.
$\Rightarrow t\cdot a=t\cdot \frac{v_1-v_0}{t}$
Simplify.
$\Rightarrow ta=v_1-v_0$
Add $v_0$ to each side.
$\Rightarrow ta+v_0=v_1-v_0+v_0$
Simplify.
$\Rightarrow ta+v_0=v_1$
Hence, the solution is $v_1=ta+v_0$.
