Question

1. the graphs shows the velocity vs time data for two objects, object a and object b. determine acceleration of object a. i need a hint m/s² 0 / 1 submissions used score: 0/1 4. this question is hidden until you answer the previous question.

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 two points on Object A's graph

Let's say the initial point $(t_1,v_1)$ and final point $(t_2,v_2)$. From the graph, if $t_1 = 0\ s$, $v_1 = v_{0A}$ and at $t_2=t$, $v_2 = v_{tA}$.

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

$\Delta v=v_{tA}-v_{0A}$, $\Delta t = t - 0=t$.

Step4: Compute acceleration

$a_A=\frac{v_{tA}-v_{0A}}{t}$. You need to read the values of $v_{0A}$, $v_{tA}$ and $t$ from the graph. For example, if $v_{0A}=2\ m/s$, $v_{tA}=6\ m/s$ at $t = 4\ s$, then $a_A=\frac{6 - 2}{4}=\frac{4}{4}=1\ m/s^{2}$.

Answer:

(You need to read values from the graph to get a numerical answer. For illustration purposes, if values are as above, the answer is) $1\ m/s^{2}$