A mass is hanging from the ceiling on a spring and oscillating (forever, and without friction). At its highest point, the mass is 12 cm from the floor, and at its lowest point, the mass is 6 cm from the floor. At t= 0, the mass is at its equilibrium and moving downwards, and a single period takes 0.5seconds. HINT: Graph your y(t) to check your answers.

(a) Find a formula for y(t), the position of the mass from the floor as a function of time.

(b) What is the position, velocity, and acceleration of the object at t= 2?

(c) In its first period, during what time interval(s) is the speed, |v|, of the mass less than 1 cm/s?