1. The problem statement, all variables and given/known data The figure below shows a two-ended "rocket" that is initially stationary on a frictionless floor, with its center at the origin of an x axis. The rocket consists of a central block C (of mass M = 6.00 kg) and blocks L and R (each of mass m = 2.50 kg) on the left and right sides. Small explosions can shoot either of the side blocks away from block C and along the x axis. Here is the sequence: (1) At time t = 0, block L is shot to the left with a speed of 2.60 m/s relative to the velocity that the explosion gives the rest of the rocket. (2) Next, at time t = 0.80 s, block R is shot to the right with a speed of 2.60 m/s relative to the velocity that the explosion gives to block C? (a) What is the velocity of block C at t = 2.80 s? m/s (b) What is the position of block C's center at that time? m 2. Relevant equations 3. The attempt at a solution I know how to conserve momentum for the different pieces of the problem; however, if someone could help me approach the problem it would be greatly appreciated. I believe I need to find the velocity of each piece after the explosion but am unsure of how to go about finding it. Are the individual velocities required, or do simply use the relative velocity between the two? Any hints on how to approach would be greatly appreciated!