How do we measure velocity at the first place?

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SUMMARY

The measurement of velocity is fundamentally based on relative motion between objects, defined by reference frames. In a given reference frame, the velocity of an object can be calculated using the formula: vx=(x2-x1)/(t2-t1), vy=(y2-y1)/(t2-t1), and vz=(z2-z1)/(t2-t1), where (x1, y1, z1) and (x2, y2, z2) are spatial coordinates and t1 and t2 are the corresponding times. This approach assumes the presence of a "spy" or clock at each spatial point to record events, although in practice, clocks associated with reference frames serve this purpose. The discussion clarifies the concept of instantaneous velocity in the context of time dilation and length contraction.

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  • Understanding of reference frames in physics
  • Familiarity with the concepts of time dilation and length contraction
  • Basic knowledge of calculus for understanding instantaneous velocity
  • Ability to interpret spatial coordinates and time measurements
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  • Study the principles of special relativity and their implications on motion
  • Learn about the Lorentz transformation and its role in measuring velocity
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jby
In time dilation and length contraction, there is a velocity term.
How do we measure velocity at the first place?
 
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Relative to some other object, which you assume to be stationary.

- Warren
 
a bit closer to truth

Actually, any reference frame is defined in a way, that in each point of space you have a spy - a being with a clock. Say an object is traveling in the space. Consider the following:
first event the object passes the coordinate (x1,y1,z1) of the space. the spy sitting at that point remembers the time of this event: t1
second event the object passes the coordinate (x2,y2,z2) of the space. the corresponding spy remembers the time of this event: t2
Now, when t2->t1, the instant velocity is defined as:
vx=(x2-x1)/(t2-t1);
vy=(y2-y1)/(t2-t1);
vz=(z2-z1)/(t2-t1);

Practically, there are no spies rather there are clock associated with a reference frame, relatively to which you want to determine the velocity

hope this answered your question :)
 

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