(1 point) a mass weighing 10 lb stretches a spring 12 in. suppose the mass is displaced an additional 12 in in the positive (downward) direction and then released with an initial upward velocity of 1 ft/s. the mass is in a medium, that exerts a viscuouse resistance of 2 lb when the mass has a velocity of 2 ft/s. assume g 32 ft/s is the gravitational acceleration (a) find the mass m ( in lb . s2/ft) m0.3125 (b) find the damping coefficient c (in lb - s/ft) c- (c) find the spring contant k (in lb/ft) k= 10 (d) set up a differential equation that describes this system. let r to denote the displacement, in meters, of the mass from its equilibrium position, and give your answer in terms of x, x',z" (e) enter the initial conditions (01 '(0)1 ft ft/s (f) is this system under damped, over damped, or critically damped? under damped '