$\text{Dane:}$  

${\text{v}}_{\text{pI}}=0\frac{\text{m}}{\text{s}}$  

${\text{a}}_{\text{I}}=1,5\frac{\text{m}}{{\text{s}}^2}$  

${\text{v}}_{\text{pII}}=2\frac{\text{m}}{\text{s}}$  

${\text{a}}_{\text{II}}=0,5\frac{\text{m}}{{\text{s}}^2}$  

$\text{t}=6\text{s}$  

$\text{Szukane:}$  

${\text{v}}_{\text{kI,}}{\text{v}}_{\text{kII}}=\text{?}$  

Obliczamy prędkość końcową ciała I:

${\text{a}}_{\text{I}}=\frac{\Delta {\text{v}}_{\text{I}}}{\text{t}}=\frac{{\text{v}}_{\text{kI}}-{\text{v}}_{\text{pI}}}{\text{t}}$  

${\text{a}}_{\text{I}}=\frac{{\text{v}}_{\text{kI}}-{\text{v}}_{\text{pI}}}{\text{t}}\text{/}\cdot \text{t}$  

${\text{a}}_{\text{I}}\cdot \text{t}=\frac{\sout{\text{t}}\cdot \left({\text{v}}_{\text{kI}}-{\text{v}}_{\text{pI}}\right)}{\sout{\text{t}}}$  

${\text{a}}_{\text{I}}\cdot \text{t}={\text{v}}_{\text{kI}}-{\text{v}}_{\text{pI}}{\text{/+ v}}_{\text{pI}}$  

${\text{a}}_{\text{I}}\cdot \text{t}+{\text{v}}_{\text{pI}}={\text{v}}_{\text{kI}}-{\text{v}}_{\text{pI}}+{\text{v}}_{\text{pI}}$  

${\text{v}}_{\text{kI}}={\text{a}}_{\text{I}}\cdot \text{t}+{\text{v}}_{\text{pI}}$  

Podstawiamy dane liczbowe:

${\text{v}}_{\text{kI}}=1,5\frac{\text{m}}{{\text{s}}^{\sout{2}}}\cdot 6\sout{\text{s}}+0\frac{\text{m}}{\text{s}}$  

${\text{v}}_{\text{kI}}=9\frac{\text{m}}{\text{s}}$  

Analiogicznie obliczamy prędkość końcową ciała II:

${\text{v}}_{\text{kII}}={\text{a}}_{\text{II}}\cdot \text{t}+{\text{v}}_{\text{pII}}$  

${\text{v}}_{\text{kII}}=0,5\frac{\text{m}}{{\text{s}}^{\sout{2}}}\cdot 6\sout{\text{s}}+2\frac{\text{m}}{\text{s}}$  

${\text{v}}_{\text{kII}}=5\frac{\text{m}}{\text{s}}$