A question from Rindler Relativity Textbook

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The discussion revolves around solving a problem from Rindler's 2nd edition, specifically problem 3.24, which involves a piece of elastic that breaks when stretched to twice its length. The scenario describes all points of the elastic being accelerated longitudinally with constant proper acceleration alpha from rest. The goal is to prove that the elastic breaks at time t=sqrt(3)*c/alpha. Participants reference the "Bell Spaceship paradox" and inquire about the equations of motion for an object under constant proper acceleration, indicating a focus on understanding the underlying physics and mathematical principles necessary to solve the problem.
ehasan
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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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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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