How do I calculate time dilation for objects moving at different velocities?

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To calculate time dilation for objects moving at different velocities, the correct approach involves using the formula t' = t * sqrt(1 - v^2 / c^2). Instead of simply subtracting the velocities of objects A and B, the relativistic law for adding velocities must be applied: v' = (u + v) / (1 + (u*v)/c^2). This ensures that the relative velocity is accurately determined before substituting it into the time dilation formula. The discussion emphasizes the importance of using the correct method for calculating relative velocity to achieve accurate results. Understanding these principles is crucial for solving time dilation problems in special relativity.
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Homework Statement



I'm trying to find out how to use the formula t'=t*sqrt(1-v^2 / c^2) for time dilation.

For example, if object A were moving .8c and object B were moving .6c, would I do .8c-.6c=.2c, and substitute that in for v in the time dilation formula to find the time object B observes for object A?

Homework Equations



t'=t*sqrt(1-v^2 / c^2)
v'=(u+v)/(1+(u*v)/c^2)
 
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To find the relative velocity you need to use the relativistic law for adding velocities. You don't just add or subtract the velocities. You quoted the formula. Now use it.
 

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