Question

according to the graphs below: velocity vs time what is the acceleration of the line in the graph? -10 m/s/s 10 m/s/s -20 m/s/s 20 m/s/s none of these

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

Let's take the initial point $(t_1 = 0\ s, v_1=20\ m/s)$ and the point $(t_2 = 2\ s, v_2 = 0\ m/s)$.

Step3: Calculate $\Delta v$ and $\Delta t$

$\Delta v=v_2 - v_1=0 - 20=- 20\ m/s$, $\Delta t=t_2 - t_1=2 - 0 = 2\ s$.

Step4: Calculate acceleration

$a=\frac{\Delta v}{\Delta t}=\frac{-20\ m/s}{2\ s}=-10\ m/s^2$.

Answer:

-10 m/s/s