A motorcyclist who is moving along an x axis directed toward the east has an acceleration given by a = (6.1 - 2.0t) m/s2 for 0 t 6.0 s. At t = 0, the velocity and position of the cyclist are 3.1 m/s and 7.3 m.
(a) What is the maximum speed achieved by the cyclist and what total distance does he travel between 0 and 6.0s?