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Chapter 1: Q2. (page 39)

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

Short Answer

Expert verified

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

Step by step solution

01

- State the definition of a variable

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

02

- 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.

$\begin{matrix} 2 s = (\frac{1}{2} 脳 2) g t^{2} \\ 2 s = g t^{2} \end{matrix}$

Divide by $t^{2}$ on both sides.

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

03

- State the conclusion

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

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