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## Homework Statement

What is the proper time interval between two events if in some inertial reference frame the events are separated by 10

^{9}m and 5s?

## Homework Equations

I looked through my notes and under a the sub topic "Invariant Intervals" I found this equation:

(Interval)

^{2}= c

^{2}[time separation]

^{2}-[space separation]

^{2}

## The Attempt at a Solution

I'm just having trouble understanding what exactly is being asked here. I tried plugging in the values given into the equation but ran into trouble with the units.

I also don't just want to plug in values into the equation without actually understanding what I'm actually looking for. I think this probably has something to do with special relativity since something traveling at 2x10

^{8}m/s is obviously traveling close to the speed of light

Oh and this was the results of my attempt:

(Interval)

^{2}= (3x10

^{8}m/s)

^{2}[(5s)

^{2}-(10

^{9}m)

^{2}]

(Interval)

^{2}= 2.25x10

^{18}m

^{2}-9x10

^{34}m

^{4}/s

^{2}