A question from Rindler Relativity Textbook

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While solving the problem from Rindler 2nd ed. book, I just stuck on the problem 3.24.

A certain piece of elastic breaks when it is stretched to twice its length. At time t=0, all points of it are accelerated longitudinally with constant proper Acceleration alpha, from rest in the unstretched state. prove that elastic breaks at t=sqrt(3)*c/alpha.

please help. thanks
 

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pervect
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Ah, the "Bell Spaceship paradox". How far have you gotten? Do you know the equations of motion of an object with constant proper acceleration alpha?
 

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