5. A particle is moving according to the position function given by s (1) = 13 - 612+91 +5, 120 (a) (3 points) Find the velocity U (1 ) and acceleration a(t) of the particle at any time (b) (3 points) When will the particle be at rest? (c) (4 points) Find all intervals in the time when the particle is moving in the negative direction. (d) (6 points) During the interval when is the particle speeding up