A force of 84 N stretches a spring 3 m. A mass weighing 39.2 N is attached to the end of this spring and released from 1 m above equilibrium with an initial downward velocity of 2 m/s . The subsequent motion takes place in a medium that offers a damping force numerically equal to 16 times the instantaneous velocity of the mass. Write the initial value problem for the position function of the mass.
