Suppose that a weight hanging from a spring is set into motion by an upward push. It takes 5 seconds for it to complete one cycle of moving from its equilibrium position to 8 centimeters above, then dropping to 8 centimeters below, and finally returning to its equilibrium position. In the first five seconds, when will the height of the weight be 6 centimeters below the equilibrium position? Hint: There are two answers Guide Questions: a) What is asked from the problem? b) Sketch a graph of this problem and label the important parts. c) Write the sinusoidal function to represent the motion of the moving weight. d) Using the function on letter c, predict the height of the weight after 3 seconds. e) What is the answer to the problem?