Velocity of a ball in a new coordinate system.

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SUMMARY

The discussion focuses on converting the velocity of a ball from one coordinate system to another while ensuring the correct interpretation of position vs time graphs. Participants emphasize the importance of determining the origin position and the angle between the axes before performing any unit conversions from meters per second (m/s) to feet per second (ft/s). The consensus is that both coordinate systems represent velocity as position vs time graphs, and initial attempts at conversion were deemed incorrect without addressing these foundational aspects.

PREREQUISITES
  • Understanding of coordinate systems in physics
  • Knowledge of velocity as a function of position vs time
  • Familiarity with unit conversion (m/s to ft/s)
  • Basic trigonometry for angle calculations between axes
NEXT STEPS
  • Study the principles of coordinate transformations in physics
  • Learn about velocity vector decomposition in different coordinate systems
  • Practice unit conversion techniques, specifically for velocity
  • Explore graphical representations of motion and their interpretations
USEFUL FOR

Students studying physics, particularly those focusing on kinematics and coordinate systems, as well as educators looking for examples of velocity transformations in different contexts.

theBEAST
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Homework Statement


https://dl.dropbox.com/u/64325990/velocity%20of%20ball.PNG

The Attempt at a Solution


I was thinking I could just convert from metres to feet but turns out that's not the right answer. Am I suppose to change the coordinate systems so I get a distance vs time graph? I am really clueless about what to do here.
 
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The problem seems to indicate that both systems are already position vs time graphs (aka velocity).

Before worrying about the unit conversion you should determine what velocities are seen by the new coordinate system.

The two things to consider are the origin position and the angle between the axes.

After you do that then convert the units from m/s to ft/s.
 
The problem seems to indicate that both systems are already position vs time graphs (aka velocity).

Before worrying about the unit conversion you should determine what velocities are seen by the new coordinate system.

The two things to consider are the origin position and the angle between the axes.

After you do that then convert the units from m/s to ft/s.
 
Alright well here is my attempt. But it is wrong as well :( Does anyone have an idea what I am doing wrong? Thanks!

https://dl.dropbox.com/u/64325990/Photobook/Photo%202012-08-23%202%2056%2026%20PM.jpg
 
Last edited by a moderator:
I'm not seeing anything wrong with what you did. I came up with the same answers so I don't know...
 
Bhumble said:
I'm not seeing anything wrong with what you did. I came up with the same answers so I don't know...

Hmmm, does anyone else get the same answer that we got?
 

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