A particle moves back and forth along a straight path. At any time t, the particle's...

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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)² 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. 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)² 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.

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