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

#SpecialTheoryofRelativity #STR
𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬
Your financial support provides me an additional incentive to create high quality lecture videos. I am very much thankful for your generosity and kindness

Support in Patreon ❤️❤️❤️  / dibyajyotidas  
Donate in Paypal 🔥🔥🔥 https://paypal.me/FortheLoveofPhysics
JOIN as a member in Youtube 😇😇😇
   / @fortheloveofphysics  
𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬

PLAYLIST ON Special Theory of Relativity
   • Special Theory of Relativity  
-----------------------------------------------------
1. History of Special Relativity ►    • History of Special Relativity (Part 1...  
2. Michelson Morley Experiment ►    • Michelson Morley Experiment - History...  
3. Special Theory of Relativity ►    • Special Theory of Relativity  
4. Time Dilation (Thought Exp) ►    • What is Time Dilation?  (Thought Expe...  
5. Length Contraction (Thought Exp) ►    • What is Length Contraction? (Thought ...  
6. Lorentz Transormations ►    • Derive Lorentz Transformations  
7. Relativity of Simultaneity ►    • Relativity of Simultaneity (Thought E...  
8. Can you prove E=MC² ►    • Can you PROVE the most Famous Equatio...  
-----------------------------------------------------
9. Special Theory of Relativity ►    • Special Theory of Relativity (LECTURE...  
10. Length Contraction ►    • Length Contraction (Special Theory of...  
11. Length Contraction of Inclined Rod ►    • Length Contraction (& Angle) of Incli...  
12. Time Dilation ►    • The Mind Bending Prediction of Relati...  
13. Muon Decay Experiment ►    • The Mind-Blowing Proof of Time Dilati...  
14. Relativistic Velocity Transformations ►    • Derivation of Relativistic Velocity T...  
15. Speed of light in moving medium ►    • Speed of Light in a moving Medium - I...  
16. Relativistic Doppler Effect ►    • What is Relativistic Doppler Effect ?...  
17. Relativistic Mass? ►    • What is Relativistic mass? & DERIVATI...  
18. Relativistic Kinetic Energy ►    • Relativistic Kinetic Energy: Simplifi...  
19. Relativistic Force ►    • Relativistic Force  
20. Relativistic Energy & Momentum ►    • Relativistic Energy and Momentum: Exp...  
21. Magnetism arises from Relativity ►    • The Hidden Connection - How Magnetism...  
22. GATE Physics question ►    • GATE Physics: Problem on Special Rela...  
23. TIFR Physics question ►    • TIFR Physics: Problem on Special Rela...  
24. Question on Volume contraction ►    • Volume Contraction in Special Relativity  
25. JEST Physics question ►    • JEST Physics: Solving a Special Relat...  
26. NET Physics question ►    • CSIR-NET Physics Problem: Relativisti...  
27. Spacetime Invariant Interval ►    • SPACETIME Interval & it's Physical Si...  
28. Minkowski Spacetime ►    • Minkowski SPACETIME, Hyperbolic Geome...  
29. Eucledian Space & Minkowski Spacetime ►    • 5 Main Differences b/w Euclidean GEOM...  
30. Spacetime Diagrams ►    • Time Dilation, Length Contraction & V...  
31. Four Vectors in Relativity ►    • What are FOUR VECTORS in Special Rela...  
32. Doppler Effect using 4-vectors ►    • How to use 4 VECTORS to prove Relativ...  
33. Compton Effect using 4-vectors ►    • How to prove Compton effect using 4-V...  
34. Particle Decay using 4-vectors ►    • Particle Decay in Relativity | Relati...  
35. (SHORTS) Does Light experience time ►    • Does light photon experience TIME? #s...  
36. (SHORTS) Light for moving observer ►    • What is the speed of Light for a movi...  
37. (SHORTS) Nothing can travel faster than light ►    • Why nothing can travel faster than th...  
38. (SHORTS) What is farther away ►    • What is farther away, 1metre in space...