Issolvi s=1/2gt^2+v_{0}tquadd

$$s = \frac { 1 } { 2 } g t ^ { 2 } + v _ { 0 } t \quad d$$

Solvi għal d (complex solution)

$$\left\{\begin{matrix}d=\frac{2s-gt^{2}}{2tv_{0}}\text{, }&t\neq 0\text{ and }v_{0}\neq 0\\d\in \mathrm{C}\text{, }&\left(s=0\text{ and }t=0\right)\text{ or }\left(s=\frac{gt^{2}}{2}\text{ and }v_{0}=0\text{ and }t\neq 0\right)\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$\frac{1}{2}gt^{2}+v_{0}td=s$$

Naqqas \frac{1}{2}gt^{2} miż-żewġ naħat.

$$v_{0}td=s-\frac{1}{2}gt^{2}$$

L-ekwazzjoni hija f'forma standard.

$$tv_{0}d=-\frac{gt^{2}}{2}+s$$

Iddividi ż-żewġ naħat b'v_{0}t.

$$\frac{tv_{0}d}{tv_{0}}=\frac{-\frac{gt^{2}}{2}+s}{tv_{0}}$$

Meta tiddividi b'v_{0}t titneħħa l-multiplikazzjoni b'v_{0}t.

$$d=\frac{-\frac{gt^{2}}{2}+s}{tv_{0}}$$

Solvi għal g (complex solution)

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

Passi biex Issolvi l-Ekwazzjoni Lineari

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$\frac{1}{2}gt^{2}+v_{0}td=s$$

Naqqas v_{0}td miż-żewġ naħat.

$$\frac{1}{2}gt^{2}=s-v_{0}td$$

Erġa' ordna t-termini.

$$\frac{1}{2}gt^{2}=s-dtv_{0}$$

L-ekwazzjoni hija f'forma standard.

$$\frac{t^{2}}{2}g=s-dtv_{0}$$

Iddividi ż-żewġ naħat b'\frac{1}{2}t^{2}.

$$\frac{2\times \frac{t^{2}}{2}g}{t^{2}}=\frac{2\left(s-dtv_{0}\right)}{t^{2}}$$

Meta tiddividi b'\frac{1}{2}t^{2} titneħħa l-multiplikazzjoni b'\frac{1}{2}t^{2}.

$$g=\frac{2\left(s-dtv_{0}\right)}{t^{2}}$$

Solvi għal d

$$\left\{\begin{matrix}d=\frac{2s-gt^{2}}{2tv_{0}}\text{, }&t\neq 0\text{ and }v_{0}\neq 0\\d\in \mathrm{R}\text{, }&\left(s=0\text{ and }t=0\right)\text{ or }\left(s=\frac{gt^{2}}{2}\text{ and }v_{0}=0\text{ and }t\neq 0\right)\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$\frac{1}{2}gt^{2}+v_{0}td=s$$

Naqqas \frac{1}{2}gt^{2} miż-żewġ naħat.

$$v_{0}td=s-\frac{1}{2}gt^{2}$$

L-ekwazzjoni hija f'forma standard.

$$tv_{0}d=-\frac{gt^{2}}{2}+s$$

Iddividi ż-żewġ naħat b'v_{0}t.

$$\frac{tv_{0}d}{tv_{0}}=\frac{-\frac{gt^{2}}{2}+s}{tv_{0}}$$

Meta tiddividi b'v_{0}t titneħħa l-multiplikazzjoni b'v_{0}t.

$$d=\frac{-\frac{gt^{2}}{2}+s}{tv_{0}}$$

Solvi għal g

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

Passi biex Issolvi l-Ekwazzjoni Lineari

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$\frac{1}{2}gt^{2}+v_{0}td=s$$

Naqqas v_{0}td miż-żewġ naħat.

$$\frac{1}{2}gt^{2}=s-v_{0}td$$

Erġa' ordna t-termini.

$$\frac{1}{2}gt^{2}=s-dtv_{0}$$

L-ekwazzjoni hija f'forma standard.

$$\frac{t^{2}}{2}g=s-dtv_{0}$$

Iddividi ż-żewġ naħat b'\frac{1}{2}t^{2}.

$$\frac{2\times \frac{t^{2}}{2}g}{t^{2}}=\frac{2\left(s-dtv_{0}\right)}{t^{2}}$$

Meta tiddividi b'\frac{1}{2}t^{2} titneħħa l-multiplikazzjoni b'\frac{1}{2}t^{2}.

$$g=\frac{2\left(s-dtv_{0}\right)}{t^{2}}$$