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

Determine the y intercept and slope of the linearization equation of the graph. Find an experimental equation. From this and the theoretical equation given in the introduction, determine the acceleration on the object.

Context: I recorded data for the distance vs velocity of an object. With that distance, I plotted it a graph and found the linearization equation to it.

2. Relevant equations

The theoretical equation relating distance and velocity:

v = [itex]\sqrt{2a}[/itex]Δx^{1/2}

3. The attempt at a solution

I found the log10 x = log10 y and x = lny graphs of my data.

The log10 x = log10 y graph has the best R^{2}value, so I will use this in finding my experimental equation.

According to excel, the linearization equation is

y = .5018x - .1117

with R^{2}being .9999

According to my question, I have to convert this to an experimental equation.

Experimental equation for power function is: y = bx^{m}

What I don't know how to do is, 1. Converting it to an experimental equation and 2. Finding the acceleration of the object.

My attempt at converting:

y = 10^{-.1117}*x^{.5018}

As to determining the acceleration of the glider from this using the experimental and theoretical equation, I have no idea how.

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# Calculating acceleration using Experimental equation

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