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## Main Question or Discussion Point

System K:

x=a t=2a/c

x'=2a t'=3a/c

I need to figure out in what frame K' will these events appear to occur at the same time?

I know the answer is c/2 in the -x direction but finding I'm having a hard time finding the velocity.

I really confused on how to get the velocity out from Lorentz factor. That way I can solve for V. It's not just with this problem but often I find myself with an expression equaling velocity times the Lorentz factor.

When I try derive relativistic velocity from the relativistic energy equation

E=(ymvc)+(mc^2)

E=mc(yv+mc)

E/(mc)=yv+mc

(E/(mc))-mc=yv

How do I get the velocity out of the Lorentz factor so from the energy expression I can derive velocity?

E^2=(pc)^2+(mc^2)^2

to

v=pc^2/(√((pc)^2+(mc^2)^2))

x=a t=2a/c

x'=2a t'=3a/c

I need to figure out in what frame K' will these events appear to occur at the same time?

I know the answer is c/2 in the -x direction but finding I'm having a hard time finding the velocity.

I really confused on how to get the velocity out from Lorentz factor. That way I can solve for V. It's not just with this problem but often I find myself with an expression equaling velocity times the Lorentz factor.

When I try derive relativistic velocity from the relativistic energy equation

E=(ymvc)+(mc^2)

E=mc(yv+mc)

E/(mc)=yv+mc

(E/(mc))-mc=yv

How do I get the velocity out of the Lorentz factor so from the energy expression I can derive velocity?

E^2=(pc)^2+(mc^2)^2

to

v=pc^2/(√((pc)^2+(mc^2)^2))