To analyze the motion and compare segments 2 and 3, we need to look at the change in velocity and the time intervals for each segment.
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Segment 2 (from 60 seconds to 150 seconds):
- Initial velocity at 60 seconds: 8 m/s
- Final velocity at 150 seconds: 14 m/s
- Change in velocity: 14 m/s - 8 m/s = 6 m/s
- Time duration: 150 seconds - 60 seconds = 90 seconds
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Segment 3 (from 150 seconds to 240 seconds):
- Initial velocity at 150 seconds: 14 m/s
- Final velocity at 240 seconds: 29 m/s
- Change in velocity: 29 m/s - 14 m/s = 15 m/s
- Time duration: 240 seconds - 150 seconds = 90 seconds
From this, we can see that both segments 2 and 3 have a time duration of 90 seconds. However, the change in velocity (and thus the acceleration) is different between the two segments:
- Segment 2 has an acceleration of \( \frac{6 , \text{m/s}}{90 , \text{s}} = 0.067 , \text{m/s}^2 \)
- Segment 3 has an acceleration of \( \frac{15 , \text{m/s}}{90 , \text{s}} = 0.167 , \text{m/s}^2 \)
Since the change in velocity (and thus the net force, following Newton's second law) is different, the correct statement comparing segments 2 and 3 is:
"Segments 2 and 3 have equal periods of time but the force during segment 2 is different than the force during segment 3."
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