Using the same principles above I derived a function of distance with respect to 10m fly time:
Distance — Time
8.952m — .85 seconds
8.752m — .86 seconds
8.558m — .87 seconds
8.371m — .88 seconds
8.190m — .89 seconds
8.015m — .90 seconds
7.845m — .91 seconds
7.680m — .92 seconds
7.521m — .93 seconds
7.366m — .94 seconds
I used these functions to generate the numbers above:
Time = (2(0-Velocity*sin(21.1°)))/(-9.80665 – Air Resistance)
Distance = Velocity*cos(21.1°)*Time
Velocity = 10 / ((10m fly time) + .02)
Air Resistance = (.5(Velocity*sin(21.1°))^2) / 79.3786647