Whakaoti i te S=1/2at^2

$$S = \frac { 1 } { 2 } a t ^ { 2 }$$

Whakaoti mō a (complex solution)

$$\left\{\begin{matrix}a=\frac{2S}{t^{2}}\text{, }&t\neq 0\\a\in \mathrm{C}\text{, }&S=0\text{ and }t=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$\frac{1}{2}at^{2}=S$$

He hanga arowhānui tō te whārite.

$$\frac{t^{2}}{2}a=S$$

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

$$\frac{2\times \frac{t^{2}}{2}a}{t^{2}}=\frac{2S}{t^{2}}$$

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

$$a=\frac{2S}{t^{2}}$$

Whakaoti mō a

$$\left\{\begin{matrix}a=\frac{2S}{t^{2}}\text{, }&t\neq 0\\a\in \mathrm{R}\text{, }&S=0\text{ and }t=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$\frac{1}{2}at^{2}=S$$

He hanga arowhānui tō te whārite.

$$\frac{t^{2}}{2}a=S$$

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

$$\frac{2\times \frac{t^{2}}{2}a}{t^{2}}=\frac{2S}{t^{2}}$$

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

$$a=\frac{2S}{t^{2}}$$

Whakaoti mō S

$$S=\frac{at^{2}}{2}$$