Astationary 2kg mass is struck by a lkg mass that's initially (just before the collision) moving downward at 10m/s (call it the -z-direction) and horizontally at 30m/s (call it the +x-direction) such that its initial velocity is vi (30m/s)î - (10m/s)k. the lkg mass then rebounds at 16m/s in the -y-direction (so its final velocity is -16m/ for the purposes of this problem, the system should be defined as these two masses (a) is the total momentum of this system conserved from the moment just before the lkg mass collides with the 2kg mass to the moment just after this collision has occurred (remember that momentum is a vector)? if so, how do you know? if not, describe how/why not. (b) use the component(s) of momentum that are conserved in this collision to find the final velocity of the 2kg mass (c) find the initial velocity of the center of mass. given (a), what is the final velocity of the center of mass?