Question

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

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: Select two points on the graph

Let's take the initial point $(t_1 = 0,v_1=2)$ and the final point $(t_2 = 100,v_2 = 22)$. Then $\Delta v=v_2 - v_1=22 - 2=20$ m/s and $\Delta t=t_2 - t_1=100 - 0 = 100$ s.

Step3: Calculate acceleration

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

Answer:

$0.2$ m/s²