the graph shows the distance a ball has traveled x seconds after it was thrown. what is the average speed…

Explanation:

Step1: Recall average - speed formula

The formula for average speed $v_{avg}=\frac{\Delta d}{\Delta t}$, where $\Delta d$ is the change in distance and $\Delta t$ is the change in time.

Step2: Calculate $\Delta d$

The distance at $t = 2$ seconds is $d_1=3$ meters and at $t = 8$ seconds is $d_2 = 6$ meters. So, $\Delta d=d_2 - d_1=6 - 3=3$ meters.

Step3: Calculate $\Delta t$

The initial time $t_1 = 2$ seconds and the final time $t_2=8$ seconds. So, $\Delta t=t_2 - t_1=8 - 2 = 6$ seconds.

Step4: Calculate average speed

Using the formula $v_{avg}=\frac{\Delta d}{\Delta t}$, we substitute $\Delta d = 3$ meters and $\Delta t=6$ seconds. So, $v_{avg}=\frac{3}{6}=0.5$ meters per second.

Answer:

$0.5$ meters per second