7Beispiel

Geg:

$\mathrm{\Delta }s=36\text{ km}\backslash Delta\; s=36\; \backslash text\{\; km\}$ und $\mathrm{\Delta }t=2\text{ h}\backslash Delta\; t=2\; \backslash text\{\; h\}$

Ges:

$vv$

Lsg:

$v={\displaystyle \frac{\mathrm{\Delta }s}{\mathrm{\Delta }t}}={\displaystyle \frac{36\text{ km}}{2\text{ h}}}={\displaystyle \frac{36}{2}}{\displaystyle \frac{\text{km}}{\text{h}}}=18{\displaystyle \frac{\text{km}}{\text{h}}}v=\backslash dfrac\{\backslash Delta\; s\}\{\backslash Delta\; t\}=\backslash dfrac\{36\; \backslash text\{\; km\}\}\{2\; \backslash text\{\; h\}\}=\backslash dfrac\{36\}\{2\}\backslash dfrac\{\backslash text\{km\}\}\{\backslash text\{h\}\}=18\backslash dfrac\{\backslash text\{km\}\}\{\backslash text\{h\}\}$

Umrechnung:

$18{\displaystyle \frac{\text{km}}{\text{h}}}=(18:\mathrm{3,6}){\displaystyle \frac{\text{m}}{\text{s}}}=5{\displaystyle \frac{\text{m}}{\text{s}}}18\backslash dfrac\{\backslash text\{km\}\}\{\backslash text\{h\}\}=(18\backslash color\{\#009999\}\{:3\{,\}6\})\backslash dfrac\{\backslash text\{m\}\}\{\backslash text\{s\}\}=5\backslash dfrac\{\backslash text\{m\}\}\{\backslash text\{s\}\}$