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if x=f(t) and y = g(t) then dx/dt = f'(t) and dy/dt = g'(t) would be
velocity vectors.
so far so good.
The question:
is g'(t) / f'(t) a velocity value? can it be used to determine
instantaneous velocity values? [1]
My knee-jerk response is that it is not a velocity value.
However, i don't
know if there is a way to use this to find the instantaneous velocity.
I am
pretty-much brain-locked into x' ^2 + y'^2 = v^2 when dealing with just
kinematics. [2]
Is there a useful or common thing that is appropriate here?