Question 10 10 pts In your journal solve the following problem. Show all work and upload a file to your instructor for grading. Given that $v(t) = t^3 - t^2 - 9t + 9$ for a particle moving along the horizontal axis for time $t \ge 0$, answer each of the following: a) Write an expression for the acceleration of the particle (2 points). b) On what interval of time does the particle travel right? Justify your answer. (2 points). c) At what time does the particle change direction? Justify your answer. (2 points). d) What is the acceleration when the particle first changes direction? (2 points) e) Is the particle speeding up or slowing down at $t = 2$? Justify your answer. (2 points)
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The acceleration is the derivative of the velocity with respect to time: $a(t) = \frac{dv}{dt} = 3t^2 - 2t - 9$ Show more…
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