Chapter 3.6, Problem 39E

To determine

To find: the time when the particle is at rest.

Answer to Problem 39E

0.142 seconds and 3.52 seconds

Explanation of Solution

Given information:

Let $s$ be the position of particle at time $t$ .

  $s\left(t\right)=2t^3-11t^2+3t-9$

The position of particle at rest will be given by critical point.

Calculation:

Use a graphing calculator to plot the graph for the given equation as shown below.

  

Here the $x$ -axis denotes the time and $y$ -axis denotes the position.

Since the first critical value is at $t=0.142$ and second critical point is at $t=3.52$ . Thus, the time when the particle is at rest is 0.142 seconds and 3.52 seconds respectively.