An object of mass 125 kg is released from rest from a boat into the water and allowed to sink. While gravity is pulling the 1 object down, a buoyancy force of 40 times the weight of the object is pushing the object up (weight = mg). If we assume that water resistance exerts a force on the object that is proportional to the velocity of the object, with proportionality constant 20 N-sec/m, find the equation of motion of the object. After how many seconds will the velocity of the object be 50 m/sec? Assume that the acceleration due to gravity is 9.81 m/sec². Find the equation of motion of the object. x(t) =

An object of mass 125 kg is released from rest from a boat into the water and allowed to sink. While gravity is pulling the 1 object down, a buoyancy force of 40 times the weight of the object is pushing the object up (weight = mg). If we assume that water resistance exerts a force on the object that is proportional to the velocity of the object, with proportionality constant 20 N-sec/m, find the equation of motion of the object. After how many seconds will the velocity of the object be 50 m/sec? Assume that the acceleration due to gravity is 9.81 m/sec². Find the equation of motion of the object. x(t) =