Solve for Vₒ a=(V_f-V_o)/t

$a = \frac{V_{f} - V_{o}}{t}$

Step 1

Rewrite the equation as $\frac{V_{f} - V_{o}}{t} = a$ .

$\frac{V_{f} - V_{o}}{t} = a$

Step 2

Multiply both sides by $t$ .

$\frac{V_{f} - V_{o}}{t} t = a t$

Step 3

Simplify the left side.

Cancel the common factor of $t$ .

Cancel the common factor.

$\frac{V_{f} - V_{o}}{t} t = a t$

Rewrite the expression.

$V_{f} - V_{o} = a t$

Step 4

Solve for $V_{o}$ .

Subtract $V_{f}$ from both sides of the equation.

$- V_{o} = a t - V_{f}$

Divide each term in $- V_{o} = a t - V_{f}$ by $- 1$ and simplify.

Divide each term in $- V_{o} = a t - V_{f}$ by $- 1$ .

$\frac{- V_{o}}{- 1} = \frac{a t}{- 1} + \frac{- V_{f}}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{V_{o}}{1} = \frac{a t}{- 1} + \frac{- V_{f}}{- 1}$

Divide $V_{o}$ by $1$ .

$V_{o} = \frac{a t}{- 1} + \frac{- V_{f}}{- 1}$

Simplify the right side.

Simplify each term.

Move the negative one from the denominator of $\frac{a t}{- 1}$ .

$V_{o} = - 1 \cdot (a t) + \frac{- V_{f}}{- 1}$

Rewrite $- 1 \cdot (a t)$ as $- (a t)$ .

$V_{o} = - (a t) + \frac{- V_{f}}{- 1}$

Dividing two negative values results in a positive value.

$V_{o} = - a t + \frac{V_{f}}{1}$

Divide $V_{f}$ by $1$ .

$V_{o} = - a t + V_{f}$