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) t 3 6t 2 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

Question: 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

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 − 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.

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