Step-by-step explanation:
Given that,
Mass of the car, m₁ = 1250 kg
Initial speed of the car, u₁ = 7.39 m/s
Mass of the truck, m₂ = 5380 kg
It is stationary, u₂ = 0
Final speed of the truck, v₂ = 2.3 m/s
Let v₁ is the final velocity of the car. Using the conservation of momentum as :
![m_1u_1+m_2u_2=m_1v_1+m_2v_2](https://img.qammunity.org/2020/formulas/physics/middle-school/9d2kp0v7xkzkgfcugt38zg1g5w37plk2yu.png)
![1250* 7.39+5380* 0=1250* v_1+5380* 2.3](https://img.qammunity.org/2020/formulas/physics/college/ip1v4phkpz4p285ocp6ejpkrziecqnvd72.png)
![v_1=-2.5\ m/s](https://img.qammunity.org/2020/formulas/physics/college/i30yek765gzgi1iv3ddrxd0sizso5b0zrg.png)
So, the final velocity of the car is 2.5 m/s but in opposite direction. Hence, this is the required solution.