How Fast is C Moving Relative to B?

AI Thread Summary
C is moving towards B at a speed of c/8, calculated using the relativistic velocity addition formula. The initial speeds of B and C relative to A are 0.4c and 0.5c, respectively. There is uncertainty about whether B and C are moving in the same direction or towards each other, as both are moving towards A. The calculation assumes they are moving in the same direction, but clarification on their relative direction is needed for accuracy. Understanding the direction of motion is crucial for determining the correct relative speed.
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Homework Statement



relative to A, B is moving towards A at a speed of 0.4c. Farther out C is moving towards A at a speed of 0.5c. all motion is along the x-axis

how fast is C moving relative to B?



Homework Equations



U = (U' + V) / 1+ VU'/c^2



The Attempt at a Solution



0.4c- 0.5c / 1 - (0.4c * 0.5c) / c^2 = 0.125


C is moving at c/8 towards B

?
 
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As the problem is stated I'm not sure if B and C are heading in the same direction or heading towards each other. All we know for sure is that both B and C are moving towards A.
 
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