Solve for V 1.4=0+V(0.475)-1/2*9.8(0.475)^2

$1.4 = 0 + V (0.475) - \frac{1}{2} \cdot 9.8 {(0.475)}^{2}$

Step 1

Rewrite the equation as $0 + V (0.475) - \frac{1}{2} \cdot (9.8 {(0.475)}^{2}) = 1.4$ .

$0 + V (0.475) - \frac{1}{2} \cdot (9.8 {(0.475)}^{2}) = 1.4$

Step 2

Simplify $0 + V (0.475) - \frac{1}{2} \cdot (9.8 {(0.475)}^{2})$ .

Add $0$ and $V (0.475)$ .

$V (0.475) - \frac{1}{2} \cdot (9.8 {(0.475)}^{2}) = 1.4$

Simplify each term.

Move $0.475$ to the left of $V$ .

$0.475 V - \frac{1}{2} \cdot (9.8 {(0.475)}^{2}) = 1.4$

Raise $0.475$ to the power of $2$ .

$0.475 V - \frac{1}{2} \cdot (9.8 \cdot 0.225625) = 1.4$

Multiply $9.8$ by $0.225625$ .

$0.475 V - \frac{1}{2} \cdot 2.211125 = 1.4$

Multiply $- \frac{1}{2} \cdot 2.211125$ .

Multiply $2.211125$ by $- 1$ .

$0.475 V - 2.211125 (\frac{1}{2}) = 1.4$

Combine $- 2.211125$ and $\frac{1}{2}$ .

$0.475 V + \frac{- 2.211125}{2} = 1.4$

Divide $- 2.211125$ by $2$ .

$0.475 V - 1.1055625 = 1.4$

Step 3

Move all terms not containing $V$ to the right side of the equation.

Add $1.1055625$ to both sides of the equation.

$0.475 V = 1.4 + 1.1055625$

Add $1.4$ and $1.1055625$ .

$0.475 V = 2.5055625$

Step 4

Divide each term in $0.475 V = 2.5055625$ by $0.475$ and simplify.

Divide each term in $0.475 V = 2.5055625$ by $0.475$ .

$\frac{0.475 V}{0.475} = \frac{2.5055625}{0.475}$

Simplify the left side.

Cancel the common factor of $0.475$ .

Cancel the common factor.

$\frac{0.475 V}{0.475} = \frac{2.5055625}{0.475}$

Divide $V$ by $1$ .

$V = \frac{2.5055625}{0.475}$

Simplify the right side.

Divide $2.5055625$ by $0.475$ .

$V = 5.27486842$