- #1

Accelerating it from 0 to 1 m/s takes 0.5*1*1^2 - 0 joules, which is 0.5 joules.

But accelerating it from 10 to 11 m/s takes 0.5*1*11^2 - 0.5*1*10^2 joules, which is 10.5 joules.

This doesn't make much sense to me as the increase in velocity was the same. Why can't an application of 0.5 joules increase the velocity by 1 m/s at any velocity?