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.

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

Whakawehea ngā taha e rua ki te -2h.

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

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

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

Whakawehe \left(v+u\right)\left(v-u\right) 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.

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

He hanga arowhānui tō te whārite.

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

Whakawehea ngā taha e rua ki te -2g.

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

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

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

Whakawehe \left(v+u\right)\left(v-u\right) ki te -2g.

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