- #1

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Show that, with V = 4/5c, the Lorentz transformation of the equations, t^prime = y(V) (t-(v/c^2)x) and x^prime = y(V) (x-Vt). (where y(V) = the Lorentz factor).

can be written as

ct^prime = 5/3ct - 4/3x

and

x^prime = 5/3x - 4/3ct

Relevant equations

y(V) = 1/(sqrt1-(V/c)^2)

The attempt at a solution

I have calculated y(V) = 5/3 (if V = 4/5c)

and i can see how the left hand term in each equation becomes 5/3ct and 5/3x respectivley. But i cant figure where the 4/3 term comes from?? or how to derive it?