The position of a particle is defined by the equation s = t³ – 6t² — 13t + 5 ft, where t is in seconds. Determine: (a) the velocity of the particle at t = 9 seconds (b) the acceleration of the particle at t = 9 seconds 5 pts (c) the total displacement after t = 6 seconds (d) the average speed from t = 0 to t = 6 seconds (e) the average velocity from t = 0 to t = 6 seconds