3 ms·
> "geometrically" It's only quadratic. Aerodynamic drag force ∝ v^2, so aerodynamic power dissipation ∝ v^3—but travel time ∝ v^{-1}, so that cancels out back
by perihelions 1y ago
> "geometrically"
It's only quadratic. Aerodynamic drag force ∝ v^2, so aerodynamic power dissipation ∝ v^3—but travel time ∝ v^{-1}, so that cancels out back to ∝ v^2 energy per km.
(I don't know if this was your intent or the opposite, but "geometric" is a synonym for "exponential", which this isn't).
- ffsm8 1y agoTIL > So in your example (1^2,2^2,3^2,…), the growth is quadratic (a type of polynomial growth), not exponential. The term "exponentially" is often misused in everyday language to mean "very fast," but mathematically, it specifically requires the exponent to be changing.