Relativistic Velocity Addition | Special Relativity

Here, we briefly derive the equation for relativistic velocity addition, using only the Lorentz transformation equations we derived back in Part 3.
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SPECIAL RELATIVITY SERIES
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I. The Michelson-Morley Experiment ( • The Michelson-Morley E... )
II. Time Dilation and Length Contraction ( • Time Dilation and Leng... )
III. Deriving the Lorentz Transformations ( • Deriving the Lorentz T... )
IV. Deriving the General Lorentz Transformation ( • Deriving the General L... )
V. Spacetime ( • What is Spacetime? | S... )
VI. Relativistic Velocity Addition

[@comic4relief]

The speed of the third observer relative to what? Observer B?
How would B measure that?

[@deepbean]

The speed of observer C is 0.9c relative to observer A and 0.99c relative to observer B, as we've worked out. B could measure it according to any standard measuring technique of speed; e.g, radar.

[@PhoenixRising46]

Let's say that C(v) is changed directions to the left, and A(u) and B(u') are changed directs to the right. Does the equation remain the same? or do we get a change in signs (+/-)?

[@hadadrefael]

You have the wrong colors in the end

[@deepbean]

Well spotted!

[@rpgtalkout8793]

[@dharmvirsingh4277]

Sir I have a question.Rocket A started from a point 20 crores km away from a goal with a velocity of 2 lakh km/second another rocked B started from a middle point at the same time with velocity of 1 lakh km/second in linear direction. What will be the relative velocity of A &B as per special theory of relativity. Will they reach at the goal simultan iosly or not ?

[@henry14529]

The concept of inertial frames of reference are wrong because time is constant as shown by Maxwell's second set of equations