Initially resting in the xy coordinate plane's center, an item erupts into three parts. Immediately after the explosion, a piece of mass 2m travels with a velocity of v in the negative x direction, while another piece of mass 3m moves with the same velocity in the negative y direction. The third component has a mass of 4m. i. immediately after the explosion, what is the magnitude of the third particle's velocity in terms of the above variables? Beginning with momentum conservation is a good place to start. ii. Immediately after the explosion, what is the direction of motion of the third piece (as an angle relative to the positive x axis)?

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