Whakaoti i te 0.9a=1/2gt^2

$$0.9 a = \frac { 1 } { 2 } g t ^ { 2 }$$

Whakaoti mō a

$$a=\frac{5gt^{2}}{9}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

He hanga arowhānui tō te whārite.

$$0.9a=\frac{gt^{2}}{2}$$

Whakawehea ngā taha e rua o te whārite ki te 0.9, he ōrite ki te whakarea i ngā taha e rua ki te tau huripoki o te hautanga.

$$\frac{0.9a}{0.9}=\frac{gt^{2}}{0.9\times 2}$$

Mā te whakawehe ki te 0.9 ka wetekia te whakareanga ki te 0.9.

$$a=\frac{gt^{2}}{0.9\times 2}$$

Whakawehe \frac{gt^{2}}{2} ki te 0.9 mā te whakarea \frac{gt^{2}}{2} ki te tau huripoki o 0.9.

$$a=\frac{5gt^{2}}{9}$$

Whakaoti mō g

$$\left\{\begin{matrix}g=\frac{9a}{5t^{2}}\text{, }&t\neq 0\\g\in \mathrm{R}\text{, }&a=0\text{ and }t=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$\frac{1}{2}gt^{2}=0.9a$$

He hanga arowhānui tō te whārite.

$$\frac{t^{2}}{2}g=\frac{9a}{10}$$

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

$$\frac{2\times \frac{t^{2}}{2}g}{t^{2}}=\frac{9a}{10\times \frac{t^{2}}{2}}$$

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

$$g=\frac{9a}{10\times \frac{t^{2}}{2}}$$

Whakawehe \frac{9a}{10} ki te \frac{1}{2}t^{2}.

$$g=\frac{9a}{5t^{2}}$$