In my inertial frame of reference S, event A occurs before event B. I measure these events to be separated by a time interval ∆tAB and a distance ∆xAB. Suppose A and B both occur on the x axis (i.e., y = z = 0) in my frame S, and again consider an inertial frame S′ moving with velocity ⃗v = v x^ relative to my frame. Under what conditions would the two events occur at the same point in space in S′?

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In my inertial frame of reference S, event A occurs before event B. I measure these events to be separated by a time interval ∆tAB and a distance ∆xAB.

Suppose A and B both occur on the x axis (i.e., y = z = 0) in my
frame S, and again consider an inertial frame S′ moving with velocity

⃗v = v x^

relative to my frame.

Under what conditions would the two events occur at the same point in space in S′?

 

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