Solve 1/2gt^2=100

$$\frac { 1 } { 2 } g t ^ { 2 } = 100$$

Solve for g

$$g=\frac{200}{t^{2}}$$

$$t\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\frac{t^{2}}{2}g=100$$

Divide both sides by \frac{1}{2}t^{2}.

$$\frac{2\times \frac{t^{2}}{2}g}{t^{2}}=\frac{2\times 100}{t^{2}}$$

Dividing by \frac{1}{2}t^{2} undoes the multiplication by \frac{1}{2}t^{2}.

$$g=\frac{2\times 100}{t^{2}}$$

Divide 100 by \frac{1}{2}t^{2}.

$$g=\frac{200}{t^{2}}$$

Solve for t

$$t=10\sqrt{\frac{2}{g}}$$

$$t=-10\sqrt{\frac{2}{g}}\text{, }g>0$$