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The natural scale of velocities is the terminal velocity, let's
call its value 1. The solution for if x is the inverse square of the
final velocity, and y is the inverse square of the initial velocity, then:
x=1+y.
That is, the inverse velocities (not their squares) form the hypotenuse
and vertical side of a right triangle with unit base, the hypotenuse
being the final velocity.
/// Jack