The position of a particle moving along an x axis is given by x = 17t2 - 5.0t3, where x is in meters and t is in seconds. (a) Determine the position, velocity, and acceleration of the particle at t = 3.0 s. x = m v = m/s a = m/s2 (b) What is the maximum positive coordinate reached by the particle? m At what time is it reached? s (c) What is the maximum positive velocity reached by the particle? m/s At what time is it reached? s (d) What is the acceleration of the particle at the instant the particle is not moving (other than at t = 0)? m/s2 (e) Determine the average velocity of the particle between t = 0 and t = 3 s.