(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Letcbe a path in R^3 with zero acceleration. Prove thatcis a straight line or a point.

2. Relevant equations

F(c(t)) = ma(t)

a(t) =c''(t)

3. The attempt at a solution

so i know that since the acceleration is zero, the velocity must be constant, and when you integrate a constant, you get a straight line...but how to I prove mathematically that the velocity is constant, because you can't integrate 0dt, as far as I know?

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# Zero Acceleration

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