Hi. Consider the basic eq for a falling body with air resistance(adsbygoogle = window.adsbygoogle || []).push({});

dv/dt=g-kv/m

I dont understand air resistance as a force, since it seems irreconcilable to the force equation F=ma. How is a force a function of velocity? I am also not sure how this equation makes sense in terms of dimensional anaysis--the right side is m/s^2, the left m/s^2+(m/s)/kg. I am apparently the only one troubled by this, as extensive googling has yeilded nothing. Thanks!

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# Air resistance, dimensional analysis confusion

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