A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from a point 4 inches below the equilibrium position.

(a) Find the position x of the mass at the times t = π/12, π/8, π/6, π/4, and 9π/32 s. (Use g = 32 ft/s2 for the acceleration due to gravity.) x(π/12) = ft x(π/8) = ft x(π/6) = ft x(π/4) = ft x(9π/32) = ft
(b) What is the velocity of the mass when t = 3π/16 s? ft/s In which direction is the mass heading at this instant? upward downward
(c) At what times does the mass pass through the equilibrium position? , n = 0, 1, 2,