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Step 2. Identify the initial state of the system. (In this problem, the initial state is right before the collision when the car of mass
m1 is at rest and the car of mass m2 is moving to the right with speed v2(tbefore). )

Step 3. Identify the final state of the system. (In this problem, the final state is right after the collision when the car of mass m1 is moving to the right at speed v1(tafter), and the car of mass m2 is moving to the left with speed v2(tafter). )