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29-12-2017
Physics

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A spaceship is moving east at speed 0.82c relative to earth. a second spaceship is moving west at speed 0.82c relative to earth. what is the speed of one spaceship relative to the other spaceship?

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29-12-2017

Using the velocity addition formula v = (u - w)/(1 - uw) in natural units,

v = (0.82 - (-0.82))/(1-(0.82)(-0.82)) = 0.98 (2 s.f.)

or 0.98c in standard units.

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