After a particularly long lunch, an employee, in a hurry to return to work, slams his car (Car 1) into his boss's new Mercedes (Car 2), resulting in immediate termination of his employment.

What is known:

• Car 1 weight w₁ = 2,500 lb
• Car 2 weight w₂ = 3,500 lb
• Car 1 moment of inertia about the CG
     I_1-cg = 1,164.6 slug-ft²
• Car 2 moment of inertia
     I_2-cg = 2,101.5 slug-ft²
• Car 1 velocity v₁ = 52 mph
• Car 2 velocity v₂ = 0 mph
• impact angle α = 45°
• position vectors for Cars' CGs
  r_1/P = (3sinα - 6cosα)i + (6sinα + 3cosα)j ft
  r_2/P = -5i - 3j ft
• coefficient of restitution e = 0.2

What are the translational and rotational velocities of the two vehicles immediately after the impact? Assume the bodies are perfectly rigid and the impact is elastic.

• Use the Conservation of Angular and Linear Momentum as well as the coefficient of restitution to determine the velocities of each car.
• Ignore the friction between the car and the ground.