How do we measure velocity at the first place?

In summary, time dilation and length contraction involve a velocity term. Velocity is measured relative to a reference frame, which is considered to be stationary. This reference frame is defined with a clock at every point in space. The instant velocity is calculated by dividing the difference in position by the difference in time between two events. However, in practice, there are no spies, but rather clocks associated with the reference frame to determine velocity.
  • #1
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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  • #2
Relative to some other object, which you assume to be stationary.

- Warren
 
  • #3
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 :)
 

1. What is velocity and why is it important to measure it?

Velocity is defined as the rate of change of an object's position with respect to time. It is important to measure velocity because it helps us understand and predict the motion of objects, and is a key component in many scientific and engineering calculations.

2. How is velocity measured?

Velocity can be measured in a variety of ways, depending on the context and the accuracy needed. Some common methods include using a stopwatch and measuring the time it takes for an object to travel a known distance, using motion sensors and data collection software, or using specialized equipment such as radar guns or Doppler velocimeters.

3. What are the units of velocity?

The standard unit of velocity is meters per second (m/s). However, depending on the system of measurement being used, velocity can also be expressed in other units such as miles per hour (mph) or kilometers per hour (km/h).

4. How does velocity differ from speed?

Velocity and speed are often used interchangeably, but they have different meanings in physics. While speed refers to the rate of motion of an object, velocity also includes the direction of motion. This means that two objects can have the same speed but different velocities if they are moving in different directions.

5. Can velocity be negative?

Yes, velocity can be negative. This indicates that the object is moving in the opposite direction of a chosen reference point. For example, if a car is traveling west while a reference point is east, the velocity of the car would be negative.

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