After Apollos 3rd stage burn to get to the moon the Command Module (CM) turned around and pulled the Lunar Module out of the 3rd stage. Both the CM and the LM turned around and flew to the moon.
But how exactly did the CM/LM separate from the 3rd stage? I mean all parts where traveling into the same direction with the same speed.
Was there a burn of CM to gain more speed and to get distance between to the 3rd stage?
Did the CM/LM somehow changed their direction to get out of the way of the 3rd stage?
Was the 3rd stage able to maneuver to get away from the CM/LM?