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Digitalx04
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Homework Statement
Motion on an Incline. I did an experiment where I measured the acceleration of a cart rolling down an inclined plane using 5 different angles and comparing them to those predicted in Newton's 2nd law of motion.
I am trying to figure out the equation I can use to find the [tex]\Delta[/tex]a using the average deviation in the time as [tex]\Delta[/tex]t. I am treating d (the displacement of the car I used in the experiment) as an exact measurement.
Homework Equations
I used d = [tex]\frac{1}{2}[/tex]at^2 in a previous experiment and solving for a again would yield me a = [tex]\frac{2d}{t^2}[/tex]. I figured I could use this same derivation to solve for [tex]\Delta[/tex]a which may or may not be my problem.
I also know by Newton's 2nd law that [tex]\vec{F}[/tex]= m[tex]\bar{a}[/tex] and that that a = g sin[tex]\theta[/tex]
The Attempt at a Solution
I tried the range of error for a = [tex]\frac{2d}{t^2}[/tex] coming out with :
[tex]\Delta[/tex]a = 2[tex]\Delta[/tex]d/[tex]\Delta[/tex]t^2 but this dosn't seem right. Any suggestions would be greatly appreciated. Thanks.