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If you have an object that is accelerating, then a position vs. time graph will give you a parabola which is pretty but is very hard to measure anything on - especially hard to measure the acceleration (or the curve of the line). If however, you graph position vs. time squared, you get a nice straight line (if you have constant acceleration) and therefore, you can measure the slope and get the acceleration.

Remember: x = 1/2at2 so if you graph x vs. t2 then the slope = 1/2 a or a = 2*slope

No matter what you are measuring, you always want to graph a straight line.

hope that helps

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Q: What is a position versus time-squared graph?
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