Position time graph of object moving in a straight line

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SUMMARY

The discussion focuses on analyzing a position-time graph of an object moving in a straight line along the x-axis. The object is farthest from the origin at point B, where it reaches the maximum displacement. It is at rest for an instant at points B and D, where the slope changes from positive to negative, indicating zero velocity. The object is at rest for a while at point E, represented by a horizontal line, and is moving away from the origin at point A.

PREREQUISITES
  • Understanding of position-time graphs
  • Knowledge of velocity as displacement over time
  • Familiarity with concepts of slope and its relation to velocity
  • Basic principles of kinematics
NEXT STEPS
  • Study the characteristics of position-time graphs in kinematics
  • Learn how to calculate velocity from displacement and time
  • Explore the implications of slope changes on motion
  • Investigate the concept of instantaneous vs. average velocity
USEFUL FOR

Students studying physics, particularly those focusing on kinematics and motion analysis, as well as educators seeking to clarify concepts related to position-time graphs.

KendraSan
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Homework Statement


The diagram (http://i83.photobucket.com/albums/j282/missingyoub4urgone/Physicsyahoohelp.png) tracks the location of an object moving in a straight line along the x-axis. When is the object (a) farthest from the origin, (b) at rest for an instant, (c) in the midst of being at rest for a while, and (d) moving away from the origin?

(assume t=0 is the origin)

Homework Equations



velocity = displacement/time

The Attempt at a Solution



I thought it was farthest away at B(because that point is the greatest distance from the x-axis); at rest for an instant at B and D because its changing from positive slope to negative, thus has no velocity, at rest for a while E (the graph probably isn't quite accurate its supposed to be a straight horizontal line there), and moving away from the origin at A.
 
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