Question

what is the average velocity of the object (from 0 to 13 seconds). position vs. time y (m) 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 time (s) 5.32 m/s 1.85 m/s 4.4 m/s 2.4 m/s 24 m/s

Explanation:

Step1: Recall average - velocity formula

The formula for average velocity is $v_{avg}=\frac{\Delta x}{\Delta t}$, 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 $t = 0\ s$, $x_1=0\ m$ and at $t = 13\ s$, $x_2 = 24\ m$. So, $\Delta x=x_2 - x_1=24 - 0=24\ m$ and $\Delta t=13 - 0 = 13\ s$.

Step3: Calculate average velocity

$v_{avg}=\frac{\Delta x}{\Delta t}=\frac{24}{13}\approx1.85\ m/s$.

Answer:

1.85 m/s