the graph shows the distance a ball has traveled x seconds after it was thrown. what is the average speed…
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.
Answer
Explanation:
Step1: Recall average - speed formula
Average speed = $\frac{\text{Change in distance}}{\text{Change in time}}$
Step2: Identify change in distance
The distance at $x = 2$ seconds is $y_1=3$ meters and at $x = 8$ seconds is $y_2 = 6$ meters. Change in distance $\Delta y=y_2 - y_1=6 - 3=3$ meters.
Step3: Identify change in time
The time changes from $t_1 = 2$ seconds to $t_2=8$ seconds. Change in time $\Delta t=t_2 - t_1=8 - 2 = 6$ seconds.
Step4: Calculate average speed
Average speed = $\frac{\Delta y}{\Delta t}=\frac{3}{6}=0.5$ m/s
Answer:
$0.5$ m/s