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Void123
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Homework Statement
A light pulse is emitted at a position [tex]x_{A}[/tex] (horizontally) and is received at position [tex]x_{B} = x_{A} + r[/tex]. Considering that [tex]v = \beta c[/tex] for a moving reference frame, I must calculate the separation [tex]r'[/tex] between the point of emission and reception.
Homework Equations
[tex]x_{B} - x_{A} = \gamma(x_{B}' - x_{A}')[/tex]
The Attempt at a Solution
I used the above equation, solving for [tex]x_{B}' - x_{A}'[/tex], but the answer provided by the book gives me an answer that differs from mine by a few operation signs. But I cannot think how they got it.