the chart shows danielas run through her race. what is her velocity? 1.5 m/s 2 m/s 2.5 m/s 5 m/s position in…

the chart shows danielas run through her race. what is her velocity? 1.5 m/s 2 m/s 2.5 m/s 5 m/s position in (m) 35 30 25 20 15 10 5 0 0 1 2 3 4 5 6 7 8 9 10 11 time (sec)

the chart shows danielas run through her race. what is her velocity? 1.5 m/s 2 m/s 2.5 m/s 5 m/s position in (m) 35 30 25 20 15 10 5 0 0 1 2 3 4 5 6 7 8 9 10 11 time (sec)

Answer

Explanation:

Step1: Recall velocity formula

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

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

From the graph, at $t = 0$, $x=5$ m and at $t = 10$ s, $x = 30$ m. So $\Delta x=30 - 5=25$ m and $\Delta t=10-0 = 10$ s.

Step3: Calculate velocity

$v=\frac{\Delta x}{\Delta t}=\frac{25}{10}=2.5$ m/s.

Answer:

2.5 m/s