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December 21, 2014

December 21, 2014

Posted by **Andy** on Friday, April 16, 2010 at 11:40am.

I've been trying relative velocity addition followed but time dilation but have not gotten the problem right so far

- physics -
**drwls**, Friday, April 16, 2010 at 1:12pm(a) The relative velocity of the students with respect to the proctors can be calculation from the relative velocity addition formula

Vsp = (Vs + Vp)/[1 + VsVp/c^2]

= 0.92c/1.1792 = 0.7802c

Rest-frame exam time as measured by the students will be longer than 65 minutes, as determined by the gamma factor for that relatve velocity.

1/sqrt[1 - (.7802)^2] = 1.599

Which makes the actual exam time 104 minutes.

(b) Apply the gamma factor with a (earth-proctor) relative velocity of

Vep = 0.28 c.

That would give you 65 minutes * 1/sqrt[1-(.28^2)] = 67.7 minutes

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