Final answer:
In the context of physics, specifically classical mechanics and relativity, the passage of reference frame S' by S at a specific velocity involves inertial reference frames and relative velocity, which is the focus of the question.
Step-by-step explanation:
Understanding Reference Frames and Relative Motion
When considering the motion of an object, we must specify the reference frame from which we are observing. This is essential because the velocity and acceleration of an object can vary depending on the observer's point of view. In the situation where a reference frame S' is passing another reference frame S with a certain velocity, we are discussing concepts within the realm of physics, specifically classical mechanics and relativity.
An inertial reference frame is a reference frame that is not accelerating, and according to Newton's first law of motion, an object in such a frame would move at a constant velocity or remain at rest if not acted upon by an external force. Reference frame S, moving at a constant velocity in relation to S', would also be considered inertial. If S' is moving with constant velocity, the origins of these frames coincide at time t = 0, and we can describe the position of the origin O' in frame S as a function of time using the given velocity.
It is important to note that the study of relativity incorporates these concepts. Special relativity involves inertial reference frames and has postulates regarding how velocities transform from one frame to another, while general relativity extends to include non-inertial frames and the effects of gravity. This understanding is crucial when analyzing the motion of an object at high velocities or in gravitational fields.