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A particle is moving along a horizontal straight line. The graph of its position function (the distance to the right of a fixed point as a function of time) is shown. (Assume 0 ≤ t ≤ 6. ) (a) When is the particle moving toward the right and when is it moving toward the left? (Enter your answers using interval notation.) moving right moving left (b) When does the particle have positive acceleration and when does it have negative acceleration? (Enter your answers using interval notation.) positive acceleration negative acceleration

A particle is moving along a horizontal straight line. The graph of its position function (the distance to the right of a fixed point as a function of time) is shown. (Assume 0 ≤ t ≤ 6. ) (a) When is the particle moving toward the right and when is it moving toward the left? (Enter your answers using interval notation.) moving right moving left (b) When does the particle have positive acceleration and when does it have negative acceleration? (Enter your answers using interval notation.) positive acceleration negative acceleration

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A particle is moving along a horizontal straight line. The graph of its position function (the distance to the right of a fixed point as a function of time) is shown. (Assume 0 ≤ t ≤ 6 .) (a) When is the particle moving toward the right and when is it moving toward the left? (Enter your answers using interval notation.) moving right ◻ moving left ◻ (b) When does the particle have positive acceleration and when does it have negative acceleration? (Enter your answers using interval notation.) positive acceleration ◻ negative acceleration ◻

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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.
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