Question

what is the acceleration over the time interval of 0-4 seconds?

Explanation:

Step1: Recall acceleration formula

Acceleration $a=\frac{\Delta v}{\Delta t}$, where $\Delta v = v_f - v_i$ and $\Delta t=t_f - t_i$.

Step2: Identify initial and final velocity and time

From the graph, at $t_i = 0\ s$, $v_i=0\ m/s$, at $t_f = 4\ s$, $v_f = 0\ m/s$. So $\Delta v=0 - 0=0\ m/s$ and $\Delta t=4 - 0 = 4\ s$.

Step3: Calculate acceleration

$a=\frac{\Delta v}{\Delta t}=\frac{0}{4}=0\ m/s^{2}$

Answer:

$0\ m/s^{2}$