A 12 kg body is moving through space in the positive direction of an x axis…

A 12 kg body is moving through space in the positive direction
of an x axis with a speed of 150 m/s when, due to an
internal explosion, it breaks into three parts. One part, with a
mass of 3.8 kg, moves away from the point of explosion with a speed
of 64 m/s in the positive y direction. A second part, with
a mass of 3.2 kg, moves in the negative x direction with a
speed of 360 m/s. What are the (a)
x-component and (b) y-component
of the velocity of the third part? (c) How much
energy is released in the explosion? Ignore effects due to the
gravitational force.