Based on this graph, which statements are true regarding the acceleration of the trains during the specified time intervals?

Question image

Understand the Problem

The question is asking to analyze a velocity-time graph for two trains and determine which statements regarding their accelerations during specified time intervals are true.

Answer

Train A zero acceleration (40-60s), Train B 6 m/s² (40-50s), Train A 5 m/s² (0-30s).

The correct statements are:

  • In the 40 to 60 second interval, Train A has zero acceleration.
  • In the 40 to 50 s interval, Train B has an average acceleration of 6 m/s².
  • In the 0 to 30 s interval, Train A has an average acceleration of 5 m/s².
Answer for screen readers

The correct statements are:

  • In the 40 to 60 second interval, Train A has zero acceleration.
  • In the 40 to 50 s interval, Train B has an average acceleration of 6 m/s².
  • In the 0 to 30 s interval, Train A has an average acceleration of 5 m/s².

More Information

Train A maintains constant velocity between 40-60s, indicating zero acceleration. Train B increases velocity from 40 to 50s, and calculations show an acceleration of 6 m/s². Train A's acceleration from 0 to 30s can be calculated as positive 5 m/s².

Tips

A common mistake is not checking the slope of the graph for each interval, leading to incorrect acceleration assumptions.

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