(Initial momentum of Car A) + (Initial momentum of Car B) = (Final momentum of Car A) + (Final momentum of Car B)
6000 kg⋅m/s + 3000 kg⋅m/s = 1500 kg * vA + 1000 kg * 2 m/s
Simplifying the equation, we get:
9000 kg⋅m/s = 1500 kg * vA + 2000 kg⋅m/s
Subtracting 2000 kg⋅m/s from both sides of the equation:
9000 kg⋅m/s - 2000 kg⋅m/s = 1500 kg * vA
7000 kg⋅m/s = 1500 kg * vA
Dividing both sides of the equation by 1500 kg:
vA = 7000 kg⋅m/s / 1500 kg
vA = 4.67 m/s
Therefore, the velocity of Car A after the collision is approximately 4.67 m/s.