K 1 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 object down, a buoyancy force of 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. 50 dv First write Newton's law m = F(t,v) in terms of the given data. dt dv m = 1201.725-20v(t) dt Find the equation of motion of the object. 4t x(t)=60.08625t-375.5390625 1-e 25 After how many seconds will the velocity of the object be 50 m/sec? The object will reach a velocity of 50 m/sec after 6.85 seconds. (Round to two decimal places as needed.)

K 1 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 object down, a buoyancy force of 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. 50 dv First write Newton's law m = F(t,v) in terms of the given data. dt dv m = 1201.725-20v(t) dt Find the equation of motion of the object. 4t x(t)=60.08625t-375.5390625 1-e 25 After how many seconds will the velocity of the object be 50 m/sec? The object will reach a velocity of 50 m/sec after 6.85 seconds. (Round to two decimal places as needed.)