A $1$kg mass is attached to spring whose constant is $16$ N

m $,$ and the entire system is submerged in a liquid that

imparts a damping force numerically equal to $10$ times the instantaneous velocity. Determine the equation that

gives the location of the mass as a function of time if

a$)$ the mass is released from rest from a point $1$m below the equilibrium position.

b$)$ the mass is released from a point $1$m below the equilibrium position with an upward velocity on $12$ m

s