Answer:
The velocity of the vehicle, x is 4 m/s
Explanation:
Where we have conservation of momentum then we have;
Sum of Initial momentum = Sum of Final momentum
Initial momentum of truck = 5000 kg·m/s
Initial momentum of car = 1600 kg·m/s
Sum of initial momentum of truck and car = 5000 kg·m/s + 1600 kg·m/s = 6600 kg·m/s
Final momentum of truck = = 3400 kg·m/s
Final momentum of car = 800 kg × x m/s
Therefore, by the principle of conservation of momentum, we have;
6600 kg·m/s = 3400 kg·m/s + 800 kg × x m/s
From which;
800 kg × x m/s = 6600 kg·m/s - 3400 kg·m/s = 3200 kg·m/s
x m/s = 3200 kg·m/s /(800 kg) = 4 m/s
The velocity of the vehicle, x = 4 m/s
