An automobile traveling at 60 km/h (with respect to the ground) bumps into the rear of another automobile traveling at 55 km/h (with respect to the ground) in the same direction. The mass of the first automobile is 1200 kg, and the mass of the second automobile is 1000 kg. If the collision is elastic, find the velocities of both automobiles immediately after this collision.

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An automobile traveling at 60 km/h (with respect to the ground) bumps into the rear of another automobile traveling at 55 km/h (with respect to the ground) in the same direction. The mass of the first automobile is 1200 kg, and the mass of the second automobile is 1000 kg. If the collision is elastic, find the velocities of both automobiles immediately after this collision. Do this problem in three different reference frames: the `ground' frame, the frame of the car moving at 60 km/h, and the center of mass frame.

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