Question

The graph is the path Beth took on a walk.

A graph with horizontal axis time (seconds) and vertical axis position in (meters). The line runs in 2 straight segments from 0 seconds 2 meters to 6 seconds 8 meters to 10 seconds 0 meters.
What does the line from time 6 to 10 indicate?

Beth slowed down considerably.
Beth went back toward her origin.
Beth sped up considerably.
Beth went farther away from origin.h expression is equivalent to

Answer 1

Beth went back toward her origin.

Beth speed up considerably.

Step-by-step explanation:

speed of the object is defined as the slope of the position time graph

here we know that

initially it moves from t = 0 to t = 6 from x = 2 to x = 8

so the slope is given as

`v = (x_2 - x_1)/(t_2 - t_1)`

`v = (8 - 2)/(6 - 0)`

`v = 1 m/s`

similarly for next we have

again it comes to x = 0 after t = 10 s

so the speed is

`v_2 = (x_3 - x_2)/(t_3 - t_2)`

`v_2 = (0 - 8)/(10 - 6)`

`v_2 = -2 m/s`

so here the velocity is negative which shows that it will move in reverse direction also its velocity is also increase

so correct answers are

Beth went back toward her origin.

Beth speed up considerably.

Answer 2

Beth went back toward her origin

Step-by-step explanation:

Please, see the attached image that represent's Beth's path.

She started her walk 2 meters from the origin (0) and after 6 seconds she headed back to position zero (0) the origin. Notice the second half of the graph as a segment going down, thus reducing her distance from the origin, and getting closer to it.