Relationship between acceleration and slope

  1. 1. The problem statement, all variables and given/known data
    Well, I did an experiment to find a quantitative relationship between an objects acceleration and the slope of the surface it is on. This involves no other propulsion other than gravity itself. It is a very simple setup: A track with one end lifted to various heights, a motion detector hooked up to a computer to log speed, acceleration and position, and a little cart to go down the track.


    2. Relevant equations



    3. The attempt at a solution
    I used linear regression and the data collected, and got a=.14h-0.9
    BUT
    I was expecting a square root somewhere in there and an asymptote of about 9.8 because it obviously wont accelerate faster than gravity.

    I already recieved credit for the work, but I want to know the actual formula (if any)
     
  2. jcsd
  3. Doc Al

    Staff: Mentor

    Figure it out. What's the component of gravity acting down the incline?
     
  4. I'm sorry, but I just dont know.

    Remember, I'm only at a high school level. I've only gotten as far as kinematics, and through my electrical work, I know a bit about electrical theory.

    But i will look into this subject further. I want to impress the teacher:rolleyes:
     
    Last edited: Mar 7, 2008
  5. Doc Al

    Staff: Mentor

  6. Thank you!

    At this point in time, I'm a sponge, so I'll soak up anything you hurl at me!
     
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