Question

the graph shows the distance a ball has traveled x seconds after it was thrown. what is the average speed between 2 seconds and 8 seconds. distance ball traveled meters from thrower seconds after throw (2,3) (8,6) o 0.5 meters per second o 0.8 meters per second

Explanation:

Step1: Recall average - speed formula

Average speed $v=\frac{\Delta d}{\Delta t}$, where $\Delta d$ is the change in distance and $\Delta t$ is the change in time.

Step2: Find $\Delta d$ and $\Delta t$

From the graph, at $t = 2$ s, $d_1=3$ m and at $t = 8$ s, $d_2 = 6$ m. So, $\Delta d=d_2 - d_1=6 - 3=3$ m, and $\Delta t=8 - 2 = 6$ s.

Step3: Calculate average speed

$v=\frac{\Delta d}{\Delta t}=\frac{6 - 3}{8 - 2}=\frac{3}{6}=0.5$ m/s.

Answer:

0.5 meters per second