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 - 6t2 + 9t – 9, (a) Find the velocity and acceleration of the particle. 0sts 10 x'(t) = x"(t) = (b) Find the open t-intervals on which the particle is moving to the right. (Enter your answer using interval notation.) (c) Find the velocity of the particle when the acceleration is 0.