35.3 Galilean Law of Velocity Addition

Let an object move with velocity relative to S' frame and let its velocity as determined is S frame be , then what is the relation between and ?

i.e.

Velocity of an object measurable in

=

Velocity of that object measured in S' - frame

+

Velocity of S' frame relative to S- frame.

The validity of equations (1) and (2) for motions of objects familiar to us in every day life is a fact without reservation. At very high speeds it is not necessary that Equations (1) and (2) be valid. The validity of Equations (1) implies that of equation (2) and conversely. However, if measurements of speed of an object is S and S' frames do not confirm to Equation (2) then it necessarily implies that Equations (1) are also invalid.

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Index

35.1 Frames of References
35.2 Galilean Principle of Relativity and Invariance of Newton's Laws of motion
35.3 Galilean Law of Velocity Addition
35.4 Absolute Frame of Reference
35.5 Einstein's Postulates
35.6 Length Contractrion, Time dilation and Relativistic Law of Velocity Addition
35.7 Relativistic Mass and Mass - Energy Equivalence

Chapter 1