Consider a particle moving along the x-axis, where x(t) is the position of the particle at time

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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 − 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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Calculus Of A Single Variable

ISBN: 9781337275361

11th Edition

Authors: Ron Larson, Bruce H. Edwards

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