(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

"If only the variables D and t are used, what quantities should the student graph in order to produce a linear relationship between the two quantities?"

The data:

distances (m): .1, .5, 1, 1.7, 2

Time(s): .14, .32, .46, .59, .63

Basically, a student is dropping a ball from several points and recording how long the fall took from each point. They're trying to experimentally determineg. So the data yields a curve. The full problem is here, it's the first one after the reference sheet: http://apcentral.collegeboard.com/apc/public/repository/_ap06_frq_physicsb_fo_51783.pdf

2. Relevant equations

n/a

3. The attempt at a solution

I'm not exactly sure what the question is asking. Since the data gives a curve, but I need a line, The "quantities" they want are the end points of the line segment that approaches all the points in the curve the most, right? How do I get that?

I tried graphically, this is the best I could get:

But there's gotta be a math way to do it. Please help... :uhh:

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# Homework Help: Kinematics/calculating a line from a curve?

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