Given,
The mass of the truck, M=3000 kg
The mass of the car, m=1000 kg
The velocity of the truck before the collision, u=10 m/s
The velocity of the car after the collision, v₁=15 m/s
From the law of conservation of momentum, the total momentum of the car and the truck before the collision is equal to their total momentum after the collision.
Thus,
[tex]Mu=mv_1+Mv_2[/tex]Where v₂ is the velocity of the truck after the collision.
On rearranging the above equation,
[tex]v_2=\frac{Mu-mv_1}{M}[/tex]On substituting the known values,
[tex]\begin{gathered} v_2=\frac{3000\times10-1000\times15}{3000} \\ =5\text{ m/s} \end{gathered}[/tex]Therefore the velocity of the truck after it hits the car is 5 m/s
