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AP Physics C Kinematics Problem


LeonAlberti

Question

Air resistance acting on a falling body can be taken into account by the approximate relation for the acceleration

a = (dv/dt) = g-kv, where k is a constant. Derive a formula for the velocity of the body as a function of time assuming it starts at rest.(a=0, t=0)

 

How do you integrate g-kv? Do you need a u substitution?

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