the graph represents velocity over time. what is the acceleration? -0.4 m/s² -0.2 m/s² 0.2 m/s² 0.4 m/s²…

the graph represents velocity over time. what is the acceleration? -0.4 m/s² -0.2 m/s² 0.2 m/s² 0.4 m/s² velocity (m/s) 24 22 20 18 16 14 12 10 8 6 4 2 0 0 10 20 30 40 50 60 70 80 90 100 time (sec)

the graph represents velocity over time. what is the acceleration? -0.4 m/s² -0.2 m/s² 0.2 m/s² 0.4 m/s² velocity (m/s) 24 22 20 18 16 14 12 10 8 6 4 2 0 0 10 20 30 40 50 60 70 80 90 100 time (sec)

Answer

Explanation:

Step1: Recall acceleration formula

Acceleration $a=\frac{\Delta v}{\Delta t}$, where $\Delta v$ is change in velocity and $\Delta t$ is change in time.

Step2: Identify initial and final values

From the graph, at $t = 0$, $v_0=2$ m/s; at $t = 100$ s, $v = 22$ m/s. So $\Delta v=v - v_0=22 - 2=20$ m/s and $\Delta t = 100-0 = 100$ s.

Step3: Calculate acceleration

$a=\frac{\Delta v}{\Delta t}=\frac{20}{100}=0.2$ m/s²

Answer:

$0.2$ m/s²