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

Experimentally measured time of fall

vs. distance for a freely falling object

Distance, x (m) Time, t (s)

0.1 0.148

0.2 0.196

0.3 0.244

0.4 0.290

0.5 0.315

0.6 0.352

0.7 0.385

0.8 0.403

0.9 0.429

1.0 0.451

Let the mathematical model be: x = 0.5gt^2 and assume that x = 0 at t = 0 :

a. In the light of what you learnt in problem 1.1 (parts a and b) and the form of the equation

x = 0.5gt^2 , discuss (without calculations) two different methods that can be used to find g, the

acceleration due to gravity, from a straight line graph representation. In each method, indicate

explicitly the vertical variable, horizontal variable, slope, and intercept. Draw sketches.

b. Find a numerical estimate for g based on the above table, using the EXCEL program?

2. Relevant equations

x = 0.5gt^2

3. The attempt at a solution

I know that the value of g is 9.81 m/s^2 but this is asking how to show it through experimental data and graph. I think maybe taking the ln of both sides to change this into y=mx+b form might help but am unsure. Also, I thing g would be the constant in the equation if it was changed to y = mx + b form therefore it'd be the slope value.

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# Finding gravity through experimental data

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