We are given graph of position of a person
For finding velocity , we will have to find slope of the given curve
Since, we have to find average velocity between t=6s to t=10s
We can see that there are shape of curve between t=6 and t=10
t=6 to t=8:
There is a inclined line
we can select any two points on that line and find slope
(5,1) and (8,6)
now, we can find slope using formula
[tex] m=\frac{y_2-y_1}{x_2-x_1} [/tex]
now, we can plug values
[tex] m=\frac{6-1}{8-5} [/tex]
[tex] m=\frac{5}{3} [/tex]
so, first velocity is
[tex] v_1=\frac{5}{3} m/s [/tex]
t=8 to 10:
We can see that there is horizontal line
so, we can select any two points
(8,6) and (10,6)
now, we can find slope using formula
[tex] m=\frac{y_2-y_1}{x_2-x_1} [/tex]
now, we can plug values
[tex] m=\frac{6-6}{10-8} [/tex]
[tex] m=0 [/tex]
so,
[tex] v_2=0m/s [/tex]
Average velocity between t=6 and t=10:
now, we can find average velocity
[tex] v=\frac{v_1+v_2}{2} [/tex]
[tex] v=\frac{\frac{5}{3}+0}{2} [/tex]
[tex] v=0.8 [/tex]
so,
average velocity is 0.8m/s...........Answer
