I would apprecite it if someone could please check my spacetime diagram for the following scenario. I appreciate any help. I'm tutoring myself based on texts and have no instructor to ask.(adsbygoogle = window.adsbygoogle || []).push({});

Scenario:

S frame of reference with S' superimposed. S' is moving at velocity [tex]v=3/4 c [/tex] in the +x direction with respect to S. Therefore

[tex]\Delta y= \Delta y' = 0[/tex], and [tex]\Delta z= \Delta z' = 0[/tex]

I calculated [tex]\gamma=1.5[/tex] (with a little approximation).

I calculated angle [tex]\theta=33.75[/tex] by taking 45 degrees times 3/4 (Beta of S').

http://copperplug.no-ip.org/homesite/Spacetime.jpg [Broken]

Is length l correct? If I instead superimposed S on S' would the distance of [tex]\Delta ct[/tex] along the superimposed ct axis be 0.66 and the length of [tex]\Delta ct'[/tex] be 1?

Thanks for any help!!

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# Spacetime Diagram

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