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.
(a) If each piece follows a trajectory that is initially at 44.2° to the vertical, what was their speed immediately after the explosion?
(b) What is the velocity of the rocket's center of mass before and after the explosion?
(c) What is the acceleration of the rocket's center of mass before and after the explosion?