Whakaoti i te h=1/2gt^2+Vt

$$h = \frac { 1 } { 2 } g t ^ { 2 } + V t$$

Whakaoti mō V

$$\left\{\begin{matrix}V=-\frac{gt}{2}+\frac{h}{t}\text{, }&t\neq 0\\V\in \mathrm{R}\text{, }&h=0\text{ and }t=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$\frac{1}{2}gt^{2}+Vt=h$$

Tangohia te \frac{1}{2}gt^{2} mai i ngā taha e rua.

$$Vt=h-\frac{1}{2}gt^{2}$$

He hanga arowhānui tō te whārite.

$$tV=-\frac{gt^{2}}{2}+h$$

Whakawehea ngā taha e rua ki te t.

$$\frac{tV}{t}=\frac{-\frac{gt^{2}}{2}+h}{t}$$

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

$$V=\frac{-\frac{gt^{2}}{2}+h}{t}$$

Whakawehe h-\frac{gt^{2}}{2} ki te t.

$$V=-\frac{gt}{2}+\frac{h}{t}$$

Whakaoti mō g

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

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$\frac{1}{2}gt^{2}+Vt=h$$

Tangohia te Vt mai i ngā taha e rua.

$$\frac{1}{2}gt^{2}=h-Vt$$

He hanga arowhānui tō te whārite.

$$\frac{t^{2}}{2}g=h-Vt$$

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

$$\frac{2\times \frac{t^{2}}{2}g}{t^{2}}=\frac{2\left(h-Vt\right)}{t^{2}}$$

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

$$g=\frac{2\left(h-Vt\right)}{t^{2}}$$