Question

according to the graphs below: velocity vs. time the acceleration between time t=2 s and time t=4 sec is? 40 m/s -40 m/s/s 20 m/s 20/m/s/s -20 m/s/s none of these 40 m/s/s

Explanation:

Step1: Identify acceleration formula

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

Step2: Determine initial and final velocity and time

From the graph, at $t_i = 2\ s$, $v_i=60\ m/s$; at $t_f = 4\ s$, $v_f = 100\ m/s$. $\Delta t=4 - 2=2\ s$, $\Delta v=100 - 60 = 40\ m/s$.

Step3: Calculate acceleration

$a=\frac{\Delta v}{\Delta t}=\frac{40\ m/s}{2\ s}=20\ m/s^2$.

Answer:

$20\ m/s/s$