An object of mass 10 kg is released from rest 1000 m above the ground and allowed to fall under the influence of gravity. Assuming the force due to air resistance is proportional lo the velocily of the object with proportionality constant b- 50 N-sec/m, determine Ihe equation of motion of the abject When will the object strike the ground? Assume that the acceleration due to gravity is 9 81 m/sec and let x(t) represent the distance lhe object has tallen in t seconds. Determine the equation of motion of the object. When will the object hit the grourid? Tha object will thit the ground after seconds. (Round to two decimal places as needed )

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