A 2 kg weight is attached both to a massive vertically suspended spring that it stretches 39.2 cm. and to a dashpot that provides 12 N of resistance for every meter per second of velocity. The weight is pulled down 20 m below its static equilibrium position and set in motion with an initial velocity of 8 m/s upward.

(a) Find the position of the weight in the form y(t) = Ce^(*pt) cos(w1t a). (w is omega and the 1 is a subscript)( a is alpha)

(b) Find the pseudofrequencey, the pseudoperiod, the time-varying amplitude, and the time lag of the motion.