Conservation of momentum and kinematics - exploding artillery shell

[khfrekek92]

Homework Statement

An artillery shell of mass 10 kg is launched due east at 3,000 ft/sec at an angle of 30 degrees above the horizontal. It explodes 5 seconds later, and splits into 2 pieces - one of mass m1 3 kg and the other m2 of mass 7 kg. Neglect air resistance. The 3 kg piece lands 4 seconds after the explosion at a point 20,000 ft. east and 3,000 ft north of the launch point. When and where does the second piece land?

Homework Equations

mv=m1v1 + m2v2
x=x0+v0T+.5at^2

The Attempt at a Solution

I'm pretty sure these are the equations you are supposed to use, but I don't know where to go from there. I need to split it up into the x,y, and z components, right? then what?

 

[olivermsun]

Try it. After you split everything into x,y,z components, how many pieces of your two equations do you already know?