Whakaoti i te S=1/2(v_{0}+v)*t

$$S = \frac { 1 } { 2 } ( v _ { 0 } + v ) \cdot t$$

Whakaoti mō t

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

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{1}{2} ki te v_{0}+v.

$$S=\left(\frac{1}{2}v_{0}+\frac{1}{2}v\right)t$$

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{1}{2}v_{0}+\frac{1}{2}v ki te t.

$$S=\frac{1}{2}v_{0}t+\frac{1}{2}vt$$

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

$$\frac{1}{2}v_{0}t+\frac{1}{2}vt=S$$

Pahekotia ngā kīanga tau katoa e whai ana i te t.

$$\left(\frac{1}{2}v_{0}+\frac{1}{2}v\right)t=S$$

He hanga arowhānui tō te whārite.

$$\frac{v+v_{0}}{2}t=S$$

Whakawehea ngā taha e rua ki te \frac{1}{2}v_{0}+\frac{1}{2}v.

$$\frac{2\times \frac{v+v_{0}}{2}t}{v+v_{0}}=\frac{2S}{v+v_{0}}$$

Mā te whakawehe ki te \frac{1}{2}v_{0}+\frac{1}{2}v ka wetekia te whakareanga ki te \frac{1}{2}v_{0}+\frac{1}{2}v.

$$t=\frac{2S}{v+v_{0}}$$

Whakaoti mō S

$$S=\frac{t\left(v+v_{0}\right)}{2}$$