s=ut-1/2gt^2 eching

$$s = u t - \frac { 1 } { 2 } g t ^ { 2 }$$

g uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$ut-\frac{1}{2}gt^{2}=s$$

Ikkala tarafdan ut ni ayirish.

$$-\frac{1}{2}gt^{2}=s-ut$$

Tenglama standart shaklda.

$$\left(-\frac{t^{2}}{2}\right)g=s-tu$$

Ikki tarafini -\frac{1}{2}t^{2} ga bo‘ling.

$$\frac{\left(-\frac{t^{2}}{2}\right)g}{-\frac{t^{2}}{2}}=\frac{s-tu}{-\frac{t^{2}}{2}}$$

-\frac{1}{2}t^{2} ga bo'lish -\frac{1}{2}t^{2} ga ko'paytirishni bekor qiladi.

$$g=\frac{s-tu}{-\frac{t^{2}}{2}}$$

s-tu ni -\frac{1}{2}t^{2} ga bo'lish.

$$g=-\frac{2\left(s-tu\right)}{t^{2}}$$

s uchun yechish

$$s=-\frac{t\left(gt-2u\right)}{2}$$