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Why does the slope of a PT Graph equal the VT graph?

  1. Aug 7, 2010 #1
    Can someone please explain this to me (please see title)? I understand how to compute it but why is this so?

    Thanks
     
  2. jcsd
  3. Aug 7, 2010 #2
    You mean momentum-time graph and velocity-time graph?
     
  4. Aug 7, 2010 #3
    or is it the pressure-temperature and volume-temperature graph for ideal gases?
     
  5. Aug 7, 2010 #4
    I mean Position-Time and Velocity-Time.
     
  6. Aug 7, 2010 #5

    thrill3rnit3

    User Avatar
    Gold Member

    What does slope mean?

    Slope = [tex]\frac{\Delta Y}{\Delta X}[/tex]

    What is your Y-axis? position (meters)
    What is your X-axis? time (seconds)

    Therefore,

    Slope = position/time = meters/seconds = velocity

    Velocity is the change of rate of change of position per unit time.
     
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