Question: A point charge q moves along a specified trajectory r 0 (t) with velocity v(t) = r 0 (t). For each choice of t ,

A point charge q moves along a specified trajectory r₀(t) with velocity v(t) = ṙ₀(t). For each choice of t , show that the equation t_ret = t − |r − r₀(t_ret)|/c has exactly one solution for the retarded time tret, provided |v(t )| < c.

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