Question

The graph 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

Option B

Explanation:

• (0,2)
• (6,8)
• (8,0)

Slope

• m=8-2/6
• m=6/6=1

And

• m=0-8/8-6
• m=-8/2
• m=-4

These are acceleration

Y intercept is (0,2) as x coordinate is 0

This is initial velocity 2m/s

The runner stopped at 8s