2D momentum question

Question

A shell slides along a frictionless flat surface moving with a southward velocity 10.0 m/s explodes in midair and breaks into 2 pieces. The larger broken piece has a mass 3.00 kg while that of the smaller piece is 1.00 kg. If the smaller piece has a velocity of 50.0 m/s in the westward direction immediately after the explosion, what is the magnitude of the resultant velocity of the larger piece immediately after the explosion?

please help

Answer 1

Go over your equations regarding this concept you will find that it is quite simple you just have to look a little bit closer and think to yourself how can I get magnitude and resultant forces??