Comment by sokoloff
4 years ago
> you really start to feel the air resistance and it becomes exponentially harder to go beyond 45kph
Nitpick: it becomes cubically harder. ;)
4 years ago
> you really start to feel the air resistance and it becomes exponentially harder to go beyond 45kph
Nitpick: it becomes cubically harder. ;)
Nitpick to nitpick: cubically is a subset of exponentially.
You are both wrong. Air resistance increases quadratically with speed, not cubically. And you mixed up polynomial with exponential.
Quadratic: x^2
Cubic: x^3
Polynomial (eg. 3rd degree): a + b x + c x^2 + d x^3
Exponential: e^x
Drag force rises quadratically with speed. Power is force dot velocity; in this case force and velocity are in the same direction, so dot product becomes simple mulitiplication making drag power (exertion, formally: work per unit time) cubic with speed.
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I'm not wrong, because I wasn't commenting on the power of the exponent.
But thanks for being a typical HN.