An ideal spring with unknown spring constant is on a horizontal frictionless surface. The spring has a 0.150 kg block connected to the end, which is pushed to the left, compressing the spring by 3.00 cm. The block is then released from rest (at time t=0) and begins simple harmonic motion with frequency 5.00 Hz. Since the block is initially displaced to the left, unlike our example in class, the equations have the opposite sign: x=Acos(t) v=vmax sin(t) a=amax cos(t) Find:

a) the spring constant b) the period c) the maximum speed of the block d) the time it takes to reach maximum speed for the first time e) the ratio of your answer to (d) to your answer to (b). f) Explain why (e) makes sense, using words and a graph.