Suppose an object weighing 12 pounds is suspended from the ceiling by a spring which stretches 3 feet to its equilibrium position when the object is attached.

Find the spring constant k lbs / ft and the mass of the object in slugs

Find the equation of motion of the object if it is released from 1 foot below the equilibrium position from rest.

When is the first time the object passes through the equilibrium position? In which direction is it heading?

Find the equation of motion of the object if it is released from 6 inches above the equilibrium position with a downward velocity of 2 feet per second.

Find when the object passes through the equilibrium position heading downwards for the third time.