Find Minimum Acceleration from Graph

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The discussion revolves around finding the minimum acceleration from a provided graph. Participants agree that the minimum acceleration occurs at the point where the slope is smallest, specifically between t = 3-4 s or t = 4-5 s. The correct interpretation of "minimum acceleration" is clarified, distinguishing between the most negative value and the smallest magnitude of acceleration. One user realizes that the minimum acceleration is actually 0 at t = 4 seconds, which is a critical insight for solving similar problems in the future. Understanding this distinction is essential for accurately interpreting acceleration values from graphs.
dumakey1212
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So this looks really easy, but I can't get the right answer. It asks you to find the minimum acceleration from the graph: http://s22.postimg.org/f5dutd5ap/pic.png. This is of course the point where the slope is the smallest, and this is from t = 3-4 s or t = 4-5 s, depending on whether you want to find the positive/negative acceleration. Either way it's about (57 m/s - 55 m/s)/1 s, 2 m/s2. It doesn't accept this answer or 1, 3, 4, 5 or the negatives of those. I'm not sure what's going on, this is pretty basic. There's no way the lowest acceleration is greater than 5, and it is most obviously based on the graph about 2 or 3.
 
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Did you try 0? That's the slope at 4 secs.
 
Yup! You're right, how foolish of me :D
 
I don't think it was foolish, after all they did say minimum acceleration which you interpreted as more negative it is the smaller it is (in a purely mathematical sense) vs the minimum magnitude of the acceleration (always a non-negative number).

Understanding where you went wrong will help you in many other problems ala "fool me once shame on you, fool me twice shame on me".
 
For simple comparison, I think the same thought process can be followed as a block slides down a hill, - for block down hill, simple starting PE of mgh to final max KE 0.5mv^2 - comparing PE1 to max KE2 would result in finding the work friction did through the process. efficiency is just 100*KE2/PE1. If a mousetrap car travels along a flat surface, a starting PE of 0.5 k th^2 can be measured and maximum velocity of the car can also be measured. If energy efficiency is defined by...

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