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**Question**

Suppose an inertial frame of reference S’ moves at a constant velocity v in the

positive x-direction with respect to a second inertial frame S. The Lorentz

transformation from S to S’ for the x coordinate of displacement is given by:

x′ =γ (x − vt)

Write down a corresponding expression for the inverse transformation, i.e. from

S’ to S, giving x in terms of x’ and t’.

Use these two expressions to derive the Lorentz transformation equation for time:

t'=γ(t-vx/c^2)

I think I have the first part, I answered x =γ (x' + vt). But the second part I have no idea I have been looking online and even watching lectures on youtube.

Thanks in advance.