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