Q2. - Algebra 2

Question

2. Solve $\text{s}=\frac{1}{2}{\text{gt}}^2$ for g.

Step-by-Step Solution

Answer

The equation $s=\frac{1}{2}g{t}^2$ in terms of $g$ is $\text{g}=\frac{2\text{s}}{{\text{t}}^{\text{2}}}$

Step 1 - State the definition of a variable

A variable is a term that is used to represent an unknown value.

Step 2 - Solve the equation

Here, the equation is:

$s=\frac{1}{2}g{t}^2$

Then, to simplify this equation use multiplication and division,

Multiply by 2 on both sides.

$\begin{array}{c}2s=\left(\frac{1}{2}\times 2\right)g{t}^2\\ 2s=g{t}^2\end{array}$

Divide by $t^2$ on both sides.

 $\begin{array}{c}\frac{2s}{t^2}=\frac{g{t}^2}{t^2}\\ g=\frac{2s}{t^2}\end{array}$

Step 3 - State the conclusion

Therefore, $s=\frac{1}{2}g{t}^2$ in terms of $g$ is $g=\frac{2s}{t^2}$.