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## Homework Statement

Two events occur at the same place in an inertial reference fram S, but are separated in time by 3 seconds. In a different frame S', they are separated in time by 4 seconds.

(a) What is the distance between the two events as measured in S'?

(b) What is the speed of S relative to S'?

## Homework Equations

I'm presuming:

t' = gamma*(t-ux/c^2)

## The Attempt at a Solution

I have the answer, and a hint saying to use the interval S^2, but I have no idea what that means, and where I start. When I look and the relevant Lorentz equations, they involve velocity, and I do not have a velocity here.

Could you please point me in the right direction?

Thank you in advance.