Derivation of Relativistic Velocity Transformations: Simplified | Problem Solving

Relativistic velocity transformations relate velocities of objects with respect to two different observers in relative motion, that is consistent with special theory of relativity.

In classical (newtonian) mechanics, velocity additions / transformations are very simple. However, special theory of relativity poses a problem, as it introduces speed of light as the universal speed barrier, i.e. no object can travel at velocities greater than the speed of light. Hence we need to derive new velocity transformations that are consistent with Relativity. In fact, what we derive will be the general velocity transformation equations, and our Galilean velocity addition theorem are a special case of those general equations.

00:00 Introduction
05:12 Derivation
16:13 Problem Solving

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PLAYLIST ON Special Theory of Relativity
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[bhavana.]

At 15:42, the numerators for inverse Transforms of uy, uz are slightly off!
Numerator for uy should have been uy(dash)*sqrt(1-v^2/c^2).
Similar correction for uz.
For the rest, the video is perfect! :)

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[stfjemam]

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[PUBGgamer-kfvz]

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[MsParticle]

There is a small error in the expressions of inverse velocity transformation for uy and uz shown at 15:18.
Thanks for such very knowledgeable videos. Got to learn many things from your videos that are difficult and time consuming if one goes to books. Thanks and keep going :-)

[muskansharma]

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