An object of mass 600 kg is released from rest 1500 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 withproportionality constant b = 50 N-sec/m, determine the equation of motion of the object. When will the object strike the ground? [Hint: Here the exponential term is too large to ignore. Use Newton's method toapproximate the time t when the object strikes the ground.] Assume that the acceleration due to gravity is 9.81 m/sec.Let x(t) represent the distance the object has fallen in t seconds. Determine the equation of motion of the object.

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