- #1
doppelganger007
- 18
- 0
Homework Statement
Let c be a path in R^3 with zero acceleration. Prove that c is a straight line or a point.
Homework Equations
F(c(t)) = ma(t)
a(t) = c''(t)
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?