2. (17.5 points) a) A motorcyclist who is moving along an x axis directed toward the east has an acceleration given by a = (12 - 4t) m/s2. Att = 0, the velocity and position of the cyclist are 3.0 m/s and 8.0 m respectively. i) What is the velocity of the cyclist at t = 3.0 s? V = dx (X ) a = (12 - 4 + ) m 32 ii) What is the position of the cyclist at t = 3.0 s? iii) At what time does the cyclist reach his maximum speed? b) An electron moving along the x-axis has a position from the origin given by x = 6 + 2te-3 m, where t is in seconds. i) When does the electron momentarily come to a stop? ii) How far is the electron from its initial position at 1 = 0 when it momentarily stops