Frames S and S’ are moving relative to each other along the x and x’ axis. Observers in the two frames set their clocks to t = 0 when the origins coincide. In frame S, event 1 occurs at x₁ = 1.0 c·y and t₁ = 1 y and event 2 occurs at x₂ = 2.0 c·y and t₂ = 0.5 y. These events occur simultaneously in frame S’.

(a) Find the magnitude and direction of the velocity of S’ relative to S.

(b) At what time do both these events occur as measured in S’?