Question

The graph below shows the velocity f(t) of a runner during a certain time interval:

graph of line segment going through ordered pairs 0, 2 and 6, 8. Graph of another line segment going through ordered pairs 6, 8 and 8, 0. Label on the x axis is time in seconds and label on the y axis is velocity in meters per second

Which of the following describes the intercepts on the graph?

The initial velocity of the runner was 8 m/s, and the runner stopped after 2 seconds.
The initial velocity of the runner was 2 m/s, and the runner stopped after 8 seconds.
The initial acceleration of the runner was 8 m/s2, and the runner stopped after 2 seconds.
The initial acceleration of the runner was 2 m/s2, and the runner stopped after 8 seconds.

Answer 1

Your answer would be B!

Explanation:

The initial velocity of the runner was 2 m/s, and the runner stopped after 8 seconds.

Answer 2

For this case, the first thing we must do is take into account the definition of the axes:
the x axis is time in seconds
the y axis is velocity in meters per secon

Then, we look for the cut point with the y axis, which is given by:
(0, 2)
This means that the initial speed is 2 m / s.

We now look for the cut point with the x axis, which is given by:
(8, 0)
This means that the speed is 0 m / s, so the runner stopped when the time is 8 seconds.

Answer:
The initial velocity of the runner was 2 m / s, and the runner stopped after 8 seconds.