Amass weighing 12 pounds stretches a spring 2 feet. The mass is initially released from...

Amass weighing 12 pounds stretches a spring 2 feet. The mass is initially released from a point 1 foot below the equilibrium position with an upward velocity of 4 ft/s.

(a) Find the equation of motion.

(b) What are the amplitude, period, and frequency of the simple harmonic motion?

(c) At what times does the mass return to the point 1 foot below the equilibrium position?

(d) At what times does the mass pass through the equilibrium position moving upward? Moving downward?

(e) What is the velocity of the mass at ?

(f ) At what times is the velocity zero?