The graph illustrates alterations in the car's velocity as time progresses while it travels on the highway. In which time segments does the acceleration remain consistently positive?

A. AB, CD, and EF
B. AB, BC, and DE
C. BC, CD, and FG
D. BC, CD, and DE

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
3 hours ago

To determine the time segments with consistently positive acceleration from the graph of the car's velocity, you need to identify where the velocity is increasing over time.

Acceleration is positive when the velocity is increasing. This means we need to look for segments where the slope of the velocity vs. time graph is positive (i.e., the line is going upwards).

Without seeing the actual graph, one can infer based on typical patterns:

  • If the graph shows sections where the velocity increases (a positive slope) continuously without decreasing, that's where the acceleration is positive.
  • Typically, a section where the graph is horizontal indicates zero acceleration, while a downward slope indicates negative acceleration.

Based on the provided options, if you have segments labeled as AB, BC, CD, DE, EF, FG, analyze each segment for its slope.

The answer will depend on which segments clearly show an upward trend.

As an example: If you find that segments BC, CD, and DE all show positive slopes, then D would be the correct answer.

Please check the graph for the specific slopes of these intervals and see which option is correct given the observed changes in velocity during those time segments.