Given
Mass of the Honda car, m=120 kg
Velocity of the Honda car, v=20 m/s
Mass of the Ford, m'=100 kg
Velocity of the Ford , v'=15 m/s
To find
The final velocity.
Explanation
The combined velocity is V
By conservation of momentum,
[tex]\begin{gathered} mv+m^{\prime}v^{\prime}=(m+m^{\prime})V \\ \Rightarrow120\times20+100\times15=(120+100)V \\ \Rightarrow V=17.72\text{ m/s} \end{gathered}[/tex]Conclusion
The combined velocity is 17.72 m/s