(adsbygoogle = window.adsbygoogle || []).push({}); 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)

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# Relationship between acceleration and slope

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