## SR time dilation problem

Ideal clocks are taken from event A to event B along various worldlines. then that the longest proper time for the trip is indicated by that clock whcih follows the straight worldline. How it can be showed. thanks

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 Blog Entries: 27 Recognitions: Gold Member Homework Help Science Advisor hi ehasan! welcome to pf! tell us what you think, and then we'll comment!

 Quote by tiny-tim hi ehasan! welcome to pf! tell us what you think, and then we'll comment!

thanks... actually i am novice to SR.
well ...I think straight worldline in space-time diagram represents linear motion with constant speed. and moving clocks run slow. but what happen when clocks are taken from event 1 to event 2 in a fashion that make curveved worldline? i.e. when clocks move with some acceleration.
thanks a lot

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## SR time dilation problem

 Quote by ehasan ...I think straight worldline in space-time diagram represents linear motion with constant speed. and moving clocks run slow
that's right
 … but what happen when clocks are taken from event 1 to event 2 in a fashion that make curveved worldline? i.e. when clocks move with some acceleration.
yes, that's what you're supposed to work out …

how would you calculate the proper time along a world-line (t, x(t)) where dx/dt isn't constant?

 Quote by tiny-tim that's right yes, that's what you're supposed to work out … how would you calculate the proper time along a world-line (t, x(t)) where dx/dt isn't constant?
I am sorry but could u please explain your point in a bit more detail. I couldnt get your point completely.
thanks

 Blog Entries: 27 Recognitions: Gold Member Homework Help Science Advisor what don't you understand?

 Quote by tiny-tim what don't you understand?

I couldnt get the sence of this sentence.
[ how would you calculate the proper time along a world-line (t, x(t)) where dx/dt isn't constant? ]

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 Quote by ehasan I couldnt get the sence of this sentence. [ how would you calculate the proper time along a world-line (t, x(t)) where dx/dt isn't constant? ]
but that's the original question!

if a body is at position x(t) at each time t, with of course velocity v = dx/dt, what is the proper time τ(t) at each time t?

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 Quote by ehasan I couldnt get the sence of this sentence. [ how would you calculate the proper time along a world-line (t, x(t)) where dx/dt isn't constant? ]
you used the words "proper time" and "worldline" in your posts so you seem to know what those mean, (t, x(t)) is just a way of defining the coordinates of a worldline in some inertial frame (at any given t, x(t) is some function that tells you the x-coordinate of the object at that time), and dx/dt is just the velocity at any given t coordinate (the derivative of x(t)). How familiar are you with calculus?

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