QUESTION IMAGE
Question
- using the graph, what is the average velocity for the whole 10 seconds? runner position a. the total average velocity is 0 m/s. b. the total average velocity is 1.2 m/s. c. the total average velocity is 1.5 m/s. d. the total average velocity is 3.0 m/s.
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
The initial position at $t = 0\ s$ is $x_1=0\ m$, and the final position at $t = 10\ s$ is $x_2 = 12\ m$. So, $\Delta x=x_2 - x_1=12 - 0=12\ m$.
Step3: Determine time - interval
The time - interval $\Delta t=10 - 0 = 10\ s$.
Step4: Calculate average velocity
Substitute $\Delta x = 12\ m$ and $\Delta t=10\ s$ into the average - velocity formula: $v_{avg}=\frac{\Delta x}{\Delta t}=\frac{12}{10}=1.2\ m/s$.
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b. The total average velocity is 1.2 m/s.