# Lorenz Transformation

## 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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