Question

the chart shows data for a moving object. which conclusion is best supported by the information in the chart? time (s) velocity (m/s) 2 8 4 8 6 8 the object has negative displacement. the object has negative acceleration. the object does not have displacement. the object is not accelerating.

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: Analyze velocity - time data

From the table, at $t = 2\ s$, $v = 8\ m/s$; at $t = 4\ s$, $v = 8\ m/s$; at $t = 6\ s$, $v = 8\ m/s$. For any two - time intervals, $\Delta v=8 - 8=0\ m/s$.

Step3: Calculate acceleration

Since $\Delta v = 0\ m/s$ for any time - interval $\Delta t$, using $a=\frac{\Delta v}{\Delta t}$, we get $a = 0\ m/s^2$.

Answer:

The object is not accelerating.