A 10000 kg truck travelling at 5.5 m/s along a straight level road rear ends a 1300 kg
passenger vehicle travelling at 2.2 m/s in the same direction. If the coefficient of restitution
between the two vehicles is 0.4 determine the velocity of each vehicle immediately after
This problem involves the conservation of momentum. Momentum before collision = Momentum after collision. And the momentum = mass X velocity.
So; mass of truck = m1 mass of car = m2 Velocity of truck before collision = u1 Velocity of car before collision = u2 Velocity of truck after collision = v1 Velcoity of car after collision = v2
You want to find v1 and v2. The conservation of momentum then states Momentum before collision = momentum after collision m1u1 + m2u2 = m1v1 + m2v2 (1)
Now, the coefficient of restitution is 0.4 and is given by