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+21t3, o 5 ts 10 (a) Find the velocity and acceleration of the particle. M) = 3:2 24t + 21 J x\"(t) = 6t 24 H J (b) Find the open tintervals on which the particle is moving to the right. (Enter your answer using interval notation.) H X (c) Find the velocity of the particle when the acceleration is 0. -27 J