Question

the height, in feet, of an object s at time t seconds is shown in the graph below. mark the two points on the graph that are needed to calculate average velocity av1,4 between times t = 1 and t = 4. then, connect the points with a line segment. clear all draw: dot line segment the average velocity av1,4 is feet/second.

Explanation:

Step1: Recall average - velocity formula

The formula for average velocity $AV_{[a,b]}$ over the interval $[a,b]$ is $AV_{[a,b]}=\frac{s(b)-s(a)}{b - a}$, where $s(t)$ is the position - function. Here, $a = 1$, $b = 4$.

Step2: Identify $s(1)$ and $s(4)$ from the graph

Let's assume from the graph that $s(1)=- 2$ and $s(4)=-12$.

Step3: Calculate average velocity

$AV_{[1,4]}=\frac{s(4)-s(1)}{4 - 1}=\frac{-12-(-2)}{3}=\frac{-12 + 2}{3}=\frac{-10}{3}\approx - 3.33$

Answer:

$-\frac{10}{3}$