Previous discussions in the study of the motion of particles used a fixed reference usually denoted as the x-y-z axes or the i-j-k planes. Translating axes is one way to determine the relative motion of a particle with respect to another. This is like identifying the position, velocity or acceleration of a particle from the point of view of another moving particle.
Usual examples are cars meeting at an intersection, a speedboat going against the current, two airplanes flying and so on.
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