How would one represent/model the effect of air resistance on horizontal motion?

Question

Evidently, there are formulas that allow us to represent the effect of air resistance on the velocity of an object in free fall but how would one calculate the effect of air resistance on horizontal motion, for instance how much air resistance hinders a humans speed or so ?

See also What does the wind speed have to be to blow away a person? — John Rennie, Oct 04 '19 at 17:10
I'm voting to close as duplicate - but that's only true after it's clear to the OP that the direction of motion isn't relevant here. — stafusa, Oct 05 '19 at 00:07

score 0 · Accepted Answer · answered Oct 04 '19 at 17:18

Nothing on how to think about air resistance depends on the direction you move into. Same usual representations applying to a free fall are used for other purposes. Mainly a force that is $\sim\vec v$ in case of a laminar regime or $\sim|\vec v|^2 \hat v$ in a turbulent one.

How would one represent/model the effect of air resistance on horizontal motion?

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