Test whether constant incline is constant acceleration

AI Thread Summary
The discussion examines whether a car rolling down a constant incline exhibits constant acceleration based on recorded distances and times. Using the equation s = v0(t) + 0.5at^2, four different accelerations were calculated: 0.12 cm/s², 0.04 cm/s², 0.08 cm/s², and 0.05 cm/s². The results indicate significant variation in acceleration values, with the highest being three times greater than the lowest. The conclusion drawn is that there is evidence suggesting the acceleration is not constant, as the accelerations differ considerably. The need for a formal proof of constant acceleration is highlighted, emphasizing the discrepancies in the calculated values.
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1. A car rolls down such an incline from rest, starting at different positions on the incline.
If the car coasts distances of .7430036cm, .9169641cm, 2.025999cm, and 1.61088cm, starting from rest each time and requires respective times of 3.5 sec, 7 sec, 7.25 sec, and 7.75 sec, is there evidence that acceleration is constant.

2. s = v0(t) + .5at^2
3. I used that equation for each interval and found 4 accelerations. The respective accelerations were: .12 cm/s^2, .04cm/s^2, .08cm/s^2, .05cm/s^2

I'm not sure how to prove that there is evidence that the acceleration is constant. The accelerations are all close together though.
 
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The accelerations are very different. 0.12 is 4 times 0.04 .

B.T.W.: The 0.04 cm/s2 acceleration is 0.037 cm/s2 to 2 sig. figs.
 
So when is asks if there is evidence that acceleration is constant, how do I need to prove that?
 
With those data, I would say there is evidence that the acceleration is not constant.
 
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