Question

1. using the graph, what is the runner’s velocity from 4 to 10 s? a. -3 m/s b. 0 m/s c. 1.2 m/s d. 3 m/s

Explanation:

Step1: Recall velocity formula

Velocity $v=\frac{\Delta x}{\Delta t}$, where $\Delta x$ is change in position and $\Delta t$ is change in time.

Step2: Determine $\Delta x$ and $\Delta t$ values

From the graph, at $t = 4\ s$, position $x_1=12\ m$ and at $t = 10\ s$, position $x_2 = 12\ m$. So $\Delta x=x_2 - x_1=12 - 12=0\ m$, and $\Delta t=10 - 4 = 6\ s$.

Step3: Calculate velocity

$v=\frac{\Delta x}{\Delta t}=\frac{0}{6}=0\ m/s$

Answer:

B. 0 m/s