A mass is attached to the end of a spring and set into oscillation on a horizontal frictionless surface by releasing it from a stretched position. If the maximum speed of the object is 2.23 m/s, and the maximum acceleration is 5.77 m/s2, find how much time elapses between a moment of maximum speed and the next moment of maximum acceleration.

(Answer should be in seconds)

Hint: What fraction of a period is the time between the maximum speed and acceleration? How are the maximum speed and acceleration related to the period of oscillation?