2 objects travelling in separate dimensions

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SUMMARY

The discussion focuses on calculating the overall velocity of two objects traveling in different dimensions, specifically one at 0.935c in the x direction and another at 0.98c in the z direction. The correct formula for adding orthogonal velocities in special relativity (SR) is provided as v = √[1 - (1 - vx²)(1 - vy²)]. This formula ensures that the resultant velocity remains below the speed of light (c), addressing a common misconception encountered with incorrect formulas. Participants emphasize the importance of verifying sources and using reliable equations for accurate results in relativistic physics.

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Homework Statement



One object is traveling in the x direction at 0.935c and another is traveling at 0.98c in the z direction. Determine the overall velocity of the second object from the point of view of the first object.

Homework Equations



v'x=(vx-v)/(1-vx*(v/c^2))

The Attempt at a Solution



I have no idea where to start
 
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Having no idea where to start, you should have checked wikipedia:P
http://en.wikipedia.org/wiki/Velocity-addition_formula
And off you go with a beautiful formula for adding orthogonal velocities in SR. Couple more years and I'll be able to derive it myself \m/. Till then, use google :P
 
You think I'd be asking here if I could figure it out from wikipedia/google?
 
My apologies for providing you with a wrong formula.
No apologies, however, for suggesting you to google, because after a couple more minutes... http://www.mathpages.com/home/kmath216/kmath216.htm here you are, the proper formula:
v=Sqrt[1-(1-vx^2)(1-vy^2)]
I'm afraid i don't know where it comes from, but the result seems fine, as it increases both of the velocities, still being less then c, whereas the formula form wikipedia gave the result that was lesser than 0.98c.
No offence :)
 

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