The correct description is The initial velocity of the runner was 8 m/s, and the runner stopped after 4 seconds (Option B).
To analyze the graph and determine the correct description, let's look at the information provided and interpret the graph:
The graph consists of two line segments.
The first line segment goes through the ordered pairs (0, 4) and (4, 8).
The second line segment goes through the ordered pairs (4, 8) and (8, 0).
Now, let's analyze the information given in the answer choices:
A. The initial velocity of the runner was 4 m/s, and the runner stopped after 8 seconds.
This doesn't match the graph because the initial velocity at 0 seconds is 4 m/s, but the runner does not stop after 8 seconds.
B. The initial velocity of the runner was 8 m/s, and the runner stopped after 4 seconds.
This matches the graph because the initial velocity at 0 seconds is 4 m/s (the first point), and the runner stops after 4 seconds (at the end of the second line segment).
C. The initial acceleration of the runner was 4 m/s², and the runner stopped after 8 seconds.
Acceleration is not directly given by the graph; it's the slope of the velocity-time graph. This statement cannot be determined from the graph.
D. The initial acceleration of the runner was 8 m/s², and the runner stopped after 4 seconds.
Similar to choice C, acceleration cannot be directly determined from the graph.
Therefore, the correct description is:
The initial velocity of the runner was 8 m/s, and the runner stopped after 4 seconds (Option B).
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, 4 and 4, 8. Graph of another line segment going through ordered pairs 4, 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?
Group of answer choices
The initial velocity of the runner was 4 m/s, and the runner stopped after 8 seconds.
The initial velocity of the runner was 8 m/s, and the runner stopped after 4 seconds.
The initial acceleration of the runner was 4 m/s2, and the runner stopped after 8 seconds.
The initial acceleration of the runner was 8 m/s2, and the runner stopped after 4 seconds.