Measurements with respect to non-inertial reference frames can be transformed to an inertial frame by incorporating directly the acceleration of the non-inertial frame as that acceleration as seen from the inertial frame.
For this, we use a set of very simple equations, well-known to undergraduate students, called the Lorentz transformation equations:
where and
are the coordinates of an event in two frames with their origins coinciding at
, where the primed frame is seen from the unprimed frame as moving with speed
along the
-axis and
where is the speed of light, and the factor
is the Lorentz factor.
So that’s the technical background to this answer.
Because we need to consider this problem from different observers’ points of view, that is to say different frames of reference.
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