Whakaoti i te s=ut-1/2gt^2

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

Whakaoti mō g

$$\left\{\begin{matrix}g=\frac{2\left(tu-s\right)}{t^{2}}\text{, }&t\neq 0\\g\in \mathrm{R}\text{, }&s=0\text{ and }t=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$ut-\frac{1}{2}gt^{2}=s$$

Tangohia te ut mai i ngā taha e rua.

$$-\frac{1}{2}gt^{2}=s-ut$$

He hanga arowhānui tō te whārite.

$$\left(-\frac{t^{2}}{2}\right)g=s-tu$$

Whakawehea ngā taha e rua ki te -\frac{1}{2}t^{2}.

$$\frac{\left(-\frac{t^{2}}{2}\right)g}{-\frac{t^{2}}{2}}=\frac{s-tu}{-\frac{t^{2}}{2}}$$

Mā te whakawehe ki te -\frac{1}{2}t^{2} ka wetekia te whakareanga ki te -\frac{1}{2}t^{2}.

$$g=\frac{s-tu}{-\frac{t^{2}}{2}}$$

Whakawehe s-tu ki te -\frac{1}{2}t^{2}.

$$g=-\frac{2\left(s-tu\right)}{t^{2}}$$

Whakaoti mō s

$$s=-\frac{t\left(gt-2u\right)}{2}$$