Initials: = 25 kg/s) 2. (15 points) A mass m = 1 kg is attached to a spring (with spring constant k but not connected to a dashpot (so the damping constant is c = 0 kg/s). The mass is set in motion with initial position x(0): = 1 meters and initial velocity x'(0) = 0 meters/s. The spring is oriented horizontally. Positive values of x mean the spring is stretched, negative values of x mean the spring is compressed, and x = 0 is the equilibrium position. a) Find the position function x(t) Answer: b) List all the times when the mass changes direction Answer: c) How far does the mass get from the equilibrium position? Answer: Page 5 of 18 ZOOM +