a velocity vs. time graph is shown. what is the acceleration of the object? 0 m/s² 0.25 m/s² 4 m/s² 8 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: Identify $\Delta v$ and $\Delta t$

From the graph, initial velocity $v_0 = 0\ m/s$ at $t_0=0\ s$, final velocity $v = 20\ m/s$ at $t = 5\ s$. So $\Delta v=v - v_0=20 - 0=20\ m/s$ and $\Delta t=t - t_0=5 - 0 = 5\ s$.

Step3: Calculate acceleration

$a=\frac{\Delta v}{\Delta t}=\frac{20}{5}=4\ m/s^{2}$

Answer:

C. $4\ m/s^{2}$