Aperson is walking briskly in a straight line. the figure shows a graph of the person’s position as a function of time . what is the person’s average velocity between t = 6 s and t = 10 s?

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

now, we can plug values

so, first velocity is

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

now, we can plug values

so,

Average velocity between t=6 and t=10:

now, we can find average velocity

so,

average velocity is 0.8m/s...........Answer

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.