A particle moves back and forth along a straight path. At any time t, the particle's displacement and velocity are respectively described by x(t) = t (t-3) and v(t) = 3 (t-1)-(t-3) (a) State the initial acceleration of the particle. (b) State the average velocity of the particle between t = 0 and t = 2. (c) State the average acceleration of the particle between t= 0 and t = 2. 40005 (d) Determine when and where the particle is stationary. (e) Calculate the average speed of the particle between t = 0 and t = 2.