Solve the all parts of following question given below:

Question: A fireworks rocket is launched vertically into the night sky with an initial speed of 43.8 m/s. The rocket coasts after being launched, then explodes and breaks into two pieces of equal mass 2.64 s later.

Part I: If each piece follows a trajectory that is initially at 44.2° to the vertical, what was their speed immediately after the explosion?

Part II: What is the velocity of the rocket's center of mass before and after the explosion?

Part III: What is the acceleration of the rocket's center of mass before and after the explosion?

I need help to determine the velocity of the rocket's center of mass before and after the explosion.