Consider a particle moving along the x-axis where x(t) is the position of the particle at time t, x'(t) is its velocity, and x"(t) is its acceleration. x(t) = t3-12t2+21-5, 0sts 10 (a) Find the velocity and acceleration of the particle. 2 x(t) = 3tf 24 +21 6121 24 x(t) = 6t (b) Find the open t-intervals on which the particle is moving to the right. (Enter your answer using interval notation.) (7.00) (c) Find the velocity of the particle when the acceleration is 0. -27

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