4 ms·
Yes. To be precise, power, which is energy per unit time, is cubic in velocity: it takes 8 times as much power to go twice as fast (because of air resistance).
by ScottBurson 10y ago
Yes. To be precise, power, which is energy per unit time, is cubic in velocity: it takes 8 times as much power to go twice as fast (because of air resistance). But for a given distance, the energy required to traverse it is quadratic in velocity: it takes only 4 times as much energy to cover the distance at twice the speed, because it takes you half as long to get there.
ETA: There are other sources of drag, of course -- tire drag, and mechanical friction in the drivetrain -- but AFAIK the power required to overcome those is linear in speed, and so the energy is constant for a given distance. Anyway, at highway speeds, air resistance dominates.