Finding X components for instantaneous velocity with points on a graph

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SUMMARY

The discussion focuses on calculating the x component of instantaneous velocity from a time-distance graph for a test car traveling in a straight line. Users identified points C and G as having zero velocity, prompting inquiries about the methodology for determining velocity from the graph. Key concepts include understanding the relationship between position and time, as well as how to extract the x-component of velocity from the overall magnitude. The conversation emphasizes the importance of analyzing the graph to derive these values accurately.

PREREQUISITES
  • Understanding of kinematics and velocity concepts
  • Familiarity with graph interpretation, specifically time-distance graphs
  • Knowledge of vector components and their calculations
  • Basic principles of calculus related to instantaneous rates of change
NEXT STEPS
  • Study the relationship between position and velocity in kinematics
  • Learn how to calculate instantaneous velocity using derivatives
  • Explore graphical analysis techniques for interpreting motion graphs
  • Investigate the significance of critical points on a graph in determining velocity
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone interested in understanding motion analysis through graphical representation.

NEAnderson90
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A test car travels in a straight line along the axis. The graph in the figure shows the car's position as a function of time. (attached figure)
Find the x component of instantaneous velocity at points A-G.

Could someone please tell me how I'm supposed to go about this problem? I know C and G are zero, but I don't know why.
 

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Hi, welcome to PF.Let me check what you already know:

- So how do you determine the magnitude of the velocity from a time-distance graph?
- How do you get the x-component from the magnitude of the velocity in this case?

If you can answer both these questions you should be able to do the question, unless there are any surprises on the (as yet invisible) image.
 

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