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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 − 3, 0 ≤ t ≤ 10 (a) Find the velocity and acceleration of the particle. 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.

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 − 3, 0 ≤ t ≤ 10 (a) Find the velocity and acceleration of the particle. 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.

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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 − 6 t 2 + 9 t − 3 , 0 ≤ t ≤ 10
(a) Find the velocity and acceleration of the particle.
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. ◻

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