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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 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.

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 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 equal periods of time but the force during segment 2 is different t

1 answer

To analyze segments 2 and 3 of the velocity vs. time graph, we can look at the time duration and the change in velocity for each segment.

Segment 2:

  • Time period: From 60 seconds to 150 seconds (90 seconds total).
  • Velocity change: From 8 m/s to 14 m/s (a change of 6 m/s).

Segment 3:

  • Time period: From 150 seconds to 240 seconds (90 seconds total).
  • Velocity change: From 14 m/s to 29 m/s (a change of 15 m/s).

Comparison:

  • Both segments 2 and 3 have the same duration of time (90 seconds).
  • The change in velocity indicates that the acceleration (and therefore the force, based on F=ma) is different in each segment. Specifically, the average acceleration during segment 2 (6 m/s over 90s) is less than during segment 3 (15 m/s over 90s).

Given this analysis, the most accurate statement is:

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

This option correctly notes that the segments have the same time duration but different forces acting due to different accelerations.