How to find displacement in a position v time graph?

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SUMMARY

The displacement between 15 and 20 seconds in a position vs. time graph is calculated by subtracting the position at 15 seconds (51 meters) from the position at 20 seconds (60 meters), resulting in a displacement of 9 meters. This calculation is valid regardless of whether the motion involves constant velocity or constant acceleration. The fundamental principle is to determine the difference in position over the specified time interval.

PREREQUISITES
  • Understanding of position vs. time graphs
  • Basic knowledge of displacement and its calculation
  • Familiarity with concepts of constant velocity and constant acceleration
  • Ability to perform basic arithmetic operations
NEXT STEPS
  • Study the principles of kinematics in physics
  • Learn how to interpret position vs. time graphs
  • Explore the differences between displacement and distance
  • Investigate the effects of acceleration on motion
USEFUL FOR

Students studying physics, particularly those focusing on kinematics and motion analysis, as well as educators looking for clear explanations of displacement calculations.

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Homework Statement


What is the displacement between 15 and 20 seconds? At 15 seconds the position is 51 meters and at 20 seconds the position is 60 meters. It is a constant velocity between 15 and 20 seconds. The answer is 9 meters but I have no idea how my teacher came to that. Thanks!


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The Attempt at a Solution

 
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It doesn't matter if its constant velocity, constant acceleration, etc. They just want to know how far the object displaced over that time. So your just taking the displacement at time 'b' minus the displacement at time 'a'.

60m-51m=9m
 
kjohnson said:
It doesn't matter if its constant velocity, constant acceleration, etc. They just want to know how far the object displaced over that time. So your just taking the displacement at time 'b' minus the displacement at time 'a'.

60m-51m=9m

Thanks!
 

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