Chapter 14, Problem 17CT

To determine

To find: The average speed from $t=3$ to $t=6$ seconds.

Answer to Problem 17CT

The average speed from $t=3$ to $t=6$ seconds is $35\frac{1}{3}\frac{\text{feet}}{\text{second}}$ .

Explanation of Solution

Given information:

The given table is.

  

Calculation:

A particle moves along a straight line by a position function $s\left(t\right)$ .

The average speed is $\frac{\Delta \text{s}}{\Delta \text{t}}$ .

The initial time $t=3$ , the initial distance is $s\left(3\right)=31$ .

The final time is $t=6$ , and the final distance is $s\left(6\right)=137$ .

  $\begin{array}{c}\frac{\Delta s}{\Delta t}=\frac{s\left(6\right)-s\left(3\right)}{6-3}\\ =\frac{137-31}{3}\\ =\frac{160}{3}\\ =35\frac{1}{3}\end{array}$

Therefore, the average speed from $t=3$ to $t=6$ seconds is $35\frac{1}{3}\frac{\text{feet}}{\text{second}}$ .