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Answer: It is just a simplification of the aero drag formula. Since both runs should be in similar enough condition you can cancel all factors except Cd and Velocity (unless reason to suspect a change in area). The change in velocity then becomes the ratio that the Cd(or CdA) has changed.
After watching the first longer video I realize a few of my questions had been already answered in there.
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https://www.youtube.com/channel/UC6s...LulDUQ8HMj5VKA
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