A 50 kilogram person is ice-skating due north with a velocity of 5.8 m/s when he collides with a 42 kilogram kid. The person and kid stay together and have a velocity of 3.0 m/s at an angle of 35 degree north of due east immediately after the collision. Find
(a) the magnitude and
(b) the direction (as an angle measured from due East) of the kid's velocity just before the collision?