8.) For this problem, include any derivatives you compute.The position of a particle moving along the x-axis at time t > 0 seconds is given by the functionx(t) = e' -2t measured in feet.a) Find the average velocity over the interval [1,3]. Be sure to indicate correct units of measure.b) In what direction is the particle moving at t = 2 seconds? Include your value and justify your answer.c) What is the acceleration of the particle when the particle is at rest? Show the analysis that leads to your answer.d) Is the speed increasing or decreasing at t = 1.5 seconds? Justify your answer. 8.) For this problem, include any derivatives you compute.The position of a particle moving along the x-axis at time t > 0 seconds is given by the functionx(t)= e' - 2t measured in feet.a) Find the average velocity over the interval [1,3]. Be sure to indicate correct units of measure.b) In what direction is the particle moving at t = 2 seconds? Include your value and justify your answer.c) What is the acceleration of the particle when the particle is at rest? Show the analysis that leads to youranswer.d) Is the speed increasing or decreasing at t = 1.5 seconds? Justify your answer.

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Answered: 8.) For this problem, include any…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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8.) For this problem, include any derivatives you compute. The position of a particle moving along the x-axis at time t > 0 seconds is given by the function x(t) = e' -2t measured in feet. a) Find the average velocity over the interval [1,3]. Be sure to indicate correct units of measure. b) In what direction is the particle moving at t = 2 seconds? Include your value and justify your answer. c) What is the acceleration of the particle when the particle is at rest? Show the analysis that leads to your answer. d) Is the speed increasing or decreasing at t = 1.5 seconds? Justify your answer.