Solve Lorentz Transformation Homework: Find t When t'=10s

harvellt
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Homework Statement


A clock is moving past us at speed v=\frac{c}{2} reads t^{'}=0 when our clock read t=0. Using the Lorentz tranformation, find out what our clock will read when the moving clock reads 10s.


Homework Equations


t=\gamma(x^{'}+\frac{Vt^{'}}{c^{2}})


The Attempt at a Solution


Alright so I know I have this one wrong if I use the equation for time dilation I get 11.5 seconds and it is correct, but I am having trouble using the lorenz transformation to get the same answer. For x^{'} I am using the equation Vt=x and get 5cs (light seconds), but I am ending up with a t=14. seconds.
I have some small silly disconnect somewhere. Help?
 
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our clocks will read 0. What does the question really say?
 
that s wasnt real sorry and fixed the rest of the problem should be a little better now
 

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