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The figure below shows an elastic collision of two pucks (masses mA = 0.5 kg and mB = 0.3 kg) on a frictionless air-hockey table. Puck A has an initial velocity of 4 m/s in the positive x-direction and a final velocity of 2 m/s in an unknown direction . Puck B is initially at rest. Find the final speed vB2 of puck B and the angles α and β.