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Resistive Force Differential Equation

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An object of mass mm is subject to a resistive force given by Fr=−kvF_r = -kv, where vv is the velocity of the object and kk is a positive constant. Which of the following represents the differential equation for the object’s velocity?

A

mdvdt=kvm \frac{dv}{dt} = kv

B

mdvdt=−kvm \frac{dv}{dt} = -kv

C

mdvdt=km \frac{dv}{dt} = k

D

mdvdt=−km \frac{dv}{dt} = -k

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