An object of mass 10 kg is released from rest 3000 m above the ground and allowed to fall under the influence of gravity. assuming the force due to air resistance is proportional to the velocity of the object with proportional constant b=50 n-sec/m, determine the equation of motion of the object. when will the object strike the ground? assume that the acceleration due to gravity is 9.81 m/sec^2 and let x(t) represent the distance the object has fallen in t seconds.