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A 68 kg man is ice-skating due north with a velocity of 5.6 m/s when he collides with a 42 kg child. The man and child stay together and have a velocity of 3.0 m/s at an angle of 35° north of due east immediately after the collision. What are (a) the magnitude and (b) the direction (as an angle measured from due East) of the child's velocity just before the collision?
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