An object of mass 150 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 1/30 times the weight of the object is pushing the object up. Assume that water resistance exerts a force on the object that is proportional to the velocity of theobject, with proportionality constant 20 N. sec/m. a. Find the equation of motion of the object. After how many seconds will the velocity of the object be 40 m/s? Assume that the acceleration due to gravity is 9.81 m/sec^2.
b. Find the equation of motion of the object: x(t)=
c. After how many seconds will the velocity of the object be 80 m/sec?