Question: Rectilinear Motion: In Exercises 65- 68, consider a particle moving along the x-axis, where x(t) is the position of the particle at time t, x(t)

Rectilinear Motion:In Exercises 65- 68, 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.

65.x(t) = t3 6t2+ 9t 2, 0 t 5 (a) Find the velocity and acceleration of the particle. (b) Find the open t-intervals on which the particle is moving to the right. (c) Find the velocity of the particle when the acceleration is 0.

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