# Finding gravity through experimental data

by BayernBlues
Tags: data, experimental, gravity
 P: 66 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.
 HW Helper P: 3,353 It gives you the values of x and t, you have the equation that relates them. Solve for g.

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