Question: Goldstein Classical Mechanics "Special Relativity" (Very Frustrated)

The question is,

A particle in hyperbolic motion starts from the origin at t = 0.  Find the time t[0] such that if a photon is emitted from the origin after t[0], it will never catch up with the particle.

Anyone familiar with this text, or who has gone through it formally please help.

Starting to get  really agitated, and don't know where else to turn to.


very respectfully,

(forgive the ranting).

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