Addition of velocities. relativity.

AI Thread Summary
The discussion focuses on the addition of velocities in the context of relativity, specifically addressing three key points regarding the speed of light, denoted as c. It emphasizes that if a velocity V is less than c in one inertial frame, it remains less than c in all other frames. Additionally, if V equals c in one frame, it will equal c in any other frame. The conversation also touches on the challenge of proving that if V exceeds c in one frame, it will exceed c in all other frames, with participants seeking assistance for part a of the problem. The thread highlights the complexities of relativistic velocity addition and the implications for understanding the speed of light.
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Homework Statement


Show that the addition of velocities implies that:
a)if V < c in any inertial frame, then V < c in any other.
b)If V=c in one inertial frame, then V=c in the other.
c)If V>c in any inertial frame, then V>c in any other inertial frame.

Homework Equations



Vx'=(Vx-c)/(1-vVx/c^2)


The Attempt at a Solution


I did b) and I can't do a) and c)
 
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Show us what you tried for part a.
 

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