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Acceleration = F/m implies Position = F/2m(t^2) + k1(t) + k2

That's quadratic, but definitely not exponential, and doesn't really look like the curve he drew.

I know the guy's argument doesn't really depend on the shape of the curve, but it's a pet peeve of mine that exponential growth is always presented in an inaccurate way.

EDIT: fixed embarrassing calculus error




The curve doesn't even look exponential since it seems to become infinite at finite time, more like 1/(T-t).


Actually:

x = 1/2 * a * t^2 + v0 * t + x0


doh, fixed.




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