Originally Posted by

**asgelle**
Work equals force times distance. If as you agree the change in drag (force) is independent of speed, then it follows that the change in work must also be independent of speed for a fixed distance.

As to your example, since you don't give the initial value of Cd, or bother with stating units on rho or A, (I can't believe you mean to say the air density is 2 gm/cm^3), there's no way to understand where your numbers come from much less check if they are correct.

But here's a simple example, Cd=1, A=1, rho=1, v=1 in some set of consistent units. Then F_d=1.

Reduce Cd by 5%; now F_d=0.95. The ratio 0.95/1=0.95

New case: Cd=1, A=1, rho=1, v=4; F_d=16. Reduce Cd to 0.95, now F_D=15.2.

New ratio is 15.2/16=0.95