Whakaoti i te v^2=u^2+2gh

$${ v }^{ 2 } = { u }^{ 2 } +2gh$$

Whakaoti mō g

$$\left\{\begin{matrix}g=-\frac{u^{2}-v^{2}}{2h}\text{, }&h\neq 0\\g\in \mathrm{R}\text{, }&h=0\text{ and }|v|=|u|\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$u^{2}+2gh=v^{2}$$

Tangohia te u^{2} mai i ngā taha e rua.

$$2gh=v^{2}-u^{2}$$

He hanga arowhānui tō te whārite.

$$2hg=v^{2}-u^{2}$$

Whakawehea ngā taha e rua ki te 2h.

$$\frac{2hg}{2h}=\frac{\left(v-u\right)\left(u+v\right)}{2h}$$

Mā te whakawehe ki te 2h ka wetekia te whakareanga ki te 2h.

$$g=\frac{\left(v-u\right)\left(u+v\right)}{2h}$$

Whakaoti mō h

$$\left\{\begin{matrix}h=-\frac{u^{2}-v^{2}}{2g}\text{, }&g\neq 0\\h\in \mathrm{R}\text{, }&g=0\text{ and }|v|=|u|\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$u^{2}+2gh=v^{2}$$

Tangohia te u^{2} mai i ngā taha e rua.

$$2gh=v^{2}-u^{2}$$

Whakawehea ngā taha e rua ki te 2g.

$$\frac{2gh}{2g}=\frac{\left(v-u\right)\left(u+v\right)}{2g}$$

Mā te whakawehe ki te 2g ka wetekia te whakareanga ki te 2g.

$$h=\frac{\left(v-u\right)\left(u+v\right)}{2g}$$