Question

Asked Oct 7, 2019

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Suppose you collected a data set in which you measured fall-times for different fall-heights. You plotted the data and fit the mathematical model, y = Ax2, to match the physical hypothesis, y = 1/2*g*t2. From the best-fit curve, you are told that the value of your fit-parameter, A, is 4.6 m/s2 ± 0.4 m/s2. Determine the value of g ± (delta)g for this fit-parameter value.

2 Ratings

Step 1

The relation between the fit parameter A from the given mathematical model to and the parameter *g* from the physical hypothesis from the problem above can be shown to be simply,

Step 2

From the calculated value of the fit parameter A , calculate *g *as,

Step 3

The uncertainty in *g* is c...

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