Calculate the interval ∆s^2 between two events with coordinates (x1 = 50 m, y1 = 0, z1 = 0, t1 = 1 µs) and (x2 = 120 m, y2 = 0, z2 = 0, t2 = 1.2 µs) in an inertial frame S. i got ∆s^2 = as 1300m^2 but i am stuck on the next part

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter1: Relativity I
Section: Chapter Questions
Problem 23P: An observer in frame S sees lightning simultaneously strike two points 100 m apart. The first strike...
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Calculate the interval ∆s^2 between two events with coordinates (x1 = 50 m, y1 = 0, z1 = 0, t1 = 1 µs) and (x2 = 120 m, y2 = 0, z2 = 0, t2 = 1.2 µs) in an inertial frame S.

i got ∆s^2 = as 1300m^2 but i am stuck on the next part 

 

b) Now transform the coordinates of the events into the S' frame, which is travelling at 0.6c along the x-axis in a positive direction with respect to the frame S. Hence verify that the spacetime interval is invariant.

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