Consider the two observers O and
O′
at the origins of the frames of reference
S
and
S′
respectively, which are in relative motion at constant velocity
v
along the x-axis as illustrated in figure TMA 1_Fig1. Suppose the origins
O
and
O′
as well as the axes of the coordinates of these frames are coincident at an initial time
t=t′=0
. The two observers are equipped with measuring instruments to determine the coordinates of the event at P. Measurements made in the
S
frame are related to those made in the
S′
by the following EXCEPT
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x′=x−vt
y′=y
z′=z+vt
t′=t