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Use the graph of velocity vs. time for an object to answer the question.





A line graph that displays the change in velocity over time and is broken up into 3 segments. At zero seconds, the velocity is zero meters per second. At 60 seconds, the velocity is 8 meters per second. The time difference between zero and 60 seconds represents the first segment. At 150 seconds, the velocity is 14 meters per second. The time difference between 60 and 150 seconds represents the second segment. At 240 seconds, the velocity is 29 meters per second. The time difference between 150 and 240 represents the third segment.
Which statement fairly compares segment 2 and segment 3?

(1 point)
Responses

Segments 2 and 3 have equal periods of time but the force during segment 2 is different than the force during segment 3.
Segments 2 and 3 have equal periods of time but the force during segment 2 is different than the force during segment 3.

Segments 2 and 3 have different periods of time, but the force acting in each segment is the same during each period of time.
Segments 2 and 3 have different periods of time, but the force acting in each segment is the same during each period of time.

Segments 2 and 3 have different periods of time and the force during segment 2 is different than the force during segment 3.
Segments 2 and 3 have different periods of time and the force during segment 2 is different than the force during segment 3.

Segments 2 and 3 have equal periods of time and the force acting in each segment is the same during each period of time.
Segments 2 and 3 have equal periods of time and the force acting in each segment is the same during each period of time.

1 answer

To compare segments 2 and 3, we need to analyze the information given from the velocity vs. time graph.

  1. Segment 2 (from 60 seconds to 150 seconds):

    • Starts at 8 m/s (at 60 seconds) and ends at 14 m/s (at 150 seconds).
    • The time duration is: 150 seconds - 60 seconds = 90 seconds.

    Change in velocity during segment 2: \[ \Delta v = 14, \text{m/s} - 8, \text{m/s} = 6, \text{m/s} \]

  2. Segment 3 (from 150 seconds to 240 seconds):

    • Starts at 14 m/s (at 150 seconds) and ends at 29 m/s (at 240 seconds).
    • The time duration is: 240 seconds - 150 seconds = 90 seconds.

    Change in velocity during segment 3: \[ \Delta v = 29, \text{m/s} - 14, \text{m/s} = 15, \text{m/s} \]

Comparison of segments:

  • Time duration: Both segments have the same time duration of 90 seconds.
  • Change in velocity: The force acting on the object is related to the change in velocity over time. Since segment 2 has a change of 6 m/s and segment 3 has a change of 15 m/s, these changes signify that the force acting during segment 3 is greater than during segment 2.

Based on this analysis, the correct response is:

Segments 2 and 3 have different periods of time and the force during segment 2 is different than the force during segment 3.

This would mean that the forces acting are also different in these two segments since the changes in velocity are different, even though the time period is the same for both segments.