Physics 62 Special Relativity (43 of 43) Relative Velocity - Example 3

In this video I will find the velocity of an object as seen by a stationary observer A.

First video in the Special Relativity series can be seen at:

[TheGameconomist]

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[KeremBostan]

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[gauravrathi]

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[manniman]

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[mohammedheneen]

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[seetharama]

In my view the equation v = (v'+u)/1+v'u/c^2) has following draw backs.



1) The equation is derived using formulae - x = Y(x'+ut) & t = Y(t'+ux/c^2) . This employs velocity u of S as viewed by observer in S' frame in the solution to v. Then, u of S' w.r.t S is = u of S w.r.t S'. In such case simply v = v'+u. If vel of S' w.r.t S is not equal to vel of S w.r.t S', then u & v' are dimension-ally mis-matching & can not be added directly. Therefore the derivation is inconsistent.


2) The equation for addition of velocity has two parts : v = v'/(1+uv'/c^2) & u/(1+uv'/c^2). That means


a) speed of moving frame S is influenced by a factor in the denominator which is contradictory to our expectations
 
b) the component of velocity of frame S' i.e., u is influenced by velocity of the object under study. This is some thing unimaginable.


I have worked out a different formula for addition of velocity, i.e., v = u + v' / Y^2. This formula 'fits in' better in the formula for Fiezu's experiment on velocity of light in running water. Here v' is such that v' <= (c - u) X Y^2 with a minimum value of 150 mts/sec w.r.t S' in S's scale & clock.



I have more doubts regarding flaws in Special Theory of Relativity

[franciswalsh]

This is the best video for an example of relative velocities out there. Thank you so much