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A 60 kg man is ice-skating due north with a velocity of 6.0 m/s when he...

A 60 kg man is ice-skating due north with a velocity of 6.0 m/s when he collides with a 31 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.

(a) What is the magnitude of the child's velocity just before the collision?
4.399  m/s

(b) What is the direction of the child's velocity just before the collision?
  ° (south of east)

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