How Do Lorentz Transformations Confirm a Rocket's Motion in Special Relativity?

AI Thread Summary
The discussion revolves around understanding Lorentz transformations in the context of a rocket moving at speed v in the x direction. The primary equations provided, including ct' and x', define the relationship between the unprimed and primed frames. Participants express confusion about the specific requirements of the homework question, particularly regarding the interpretation of the equations. There is a suggestion that the question may involve expressing the velocity v in terms of the variables γ and β. Clarification on the question's intent is needed for further progress.
Onias
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Homework Statement


Show that the primed frame corresponds to a 'rocket' frame moving at speed v in the x direction relative to the unprimed frame.

Variables: x, x', t, t', y, y', z, z'


Homework Equations


ct' = γct - βγx
x' = γx - βγct
y' = y
z' = z


The Attempt at a Solution


None, I'm not sure what the question is asking of me!
 
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Onias said:
Show that the primed frame corresponds to a 'rocket' frame moving at speed v in the x direction relative to the unprimed frame.

Variables: x, x', t, t', y, y', z, z'
…
ct' = γct - βγx
x' = γx - βγct
y' = y
z' = z
…
I'm not sure what the question is asking of me!

Hi Onias ! Welcome to PF! :smile:

(are those equations part of the question?)

I'm not sure what the question is asking of you, either :confused: …

I'd have thought that those equations are the definition of the new frame …

unless they're asking you to say what v is, in terms of γ and β
 

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