what is the average velocity of the particle from rest to 9 seconds? a. 1 meter/second b. 2 meters/second c…

Explanation:

Step1: Recall average - velocity formula

The formula for average velocity is $v_{avg}=\frac{\Delta x}{\Delta t}$, where $\Delta x$ is the displacement and $\Delta t$ is the time - interval.

Step2: Determine displacement and time

From the graph, at $t = 0\ s$, the displacement $x_1=0\ m$, and at $t = 9\ s$, we can estimate the displacement. Since the graph is a straight - line, we can use the fact that the line passes through points $(0,0)$ and $(10, 18)$. The equation of the line is $x=1.8t$ (using the slope - intercept form $y = mx + b$, where $m$ is the slope and $b = 0$ as it passes through the origin). When $t = 9\ s$, $x=1.8\times9 = 16.2\ m$. $\Delta x=x_2 - x_1=16.2\ m$ and $\Delta t=9 - 0=9\ s$.

Step3: Calculate average velocity

$v_{avg}=\frac{\Delta x}{\Delta t}=\frac{16.2}{9}=1.8\approx2\ m/s$.

Answer:

B. 2 meters/second