The position of a particle moving along the x-axis is given by x(t) = t^3 +...

The position of a particle moving along the x-axis is given by x(t) = t^3 + 9t^2 − 21t with t is in [0, 2]. (a) Find the velocity and acceleration of the particle.

(b) For what t-values is the velocity 0? (Enter your answers as a comma-separated list.)

When is the particle moving to the right (velocity is positive)? (Enter your answer using interval notation.) (

d) What is the farthest the particle gets to the left? What is the farthest the particle gets to the right?

(e) When is the velocity increasing? (Enter your answer using interval notation. If an answer does not exist, enter DNE.) When is the velocity decreasing? (Enter your answer using interval notation. If an answer does not exist, enter DNE.)

(f) What is the maximum velocity of the particle? v =

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Expert Solution

milcah answered 1 year ago

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