K1An 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 ispushing 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 theequation 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/sec².50dvFirst write Newton's law m= F(t,v) in terms of the given data.dtdvm=1201.725-20v(t)dtFind the equation of motion of the object.4tx(t)=60.08625t-375.5390625 1-e25After 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.)

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Answered: K 1 An object of mass 125 kg is…

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