An object of mass mfalling near thesurface of the earth isretarded by airresistance proportionalto its velocity sothat, according toNewton's Second Law ofMotion,dvm-= mg – kv,dt dvm= mg – kv,dtwhere v=v (t) is thevelocity of the objectat time t, and g is theacceleration of gravitynear the surface of theearth. Assume that theobject falls from restat time t=0, that isv ( 0 ) = 0 .The velocity of theobject at time t=m/k isv (m/k) =

The equation is solved using the concept of linear differential equations

Answered: dv mg – kv, m- dt

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