a mass weighing stretches a spring . suppose the mass is displaced an additional in the positive (downward) direction and then released with an initial upward velocity of . the mass is in a medium, that exerts a viscuouse resistance of when the mass has a velocity of . assume is the gravitational acceleration. (a) find the mass ( in ). (b) find the damping coefficient (in ). (c) find the spring contant (in ). (d) set up a differential equation that describes this system. let to denote the displacement, in feet, of the mass from its equilibrium position, and give your answer in terms of . (e) enter the initial conditions: , (f) is this system under damped, over damped, or critically damped?