In an experiment, students measured the speed s (in meters per second) of a fall

Question

In an experiment, students measured the speed s (in meters per second) of a falling object t seconds after it was released. The results are shown in the table. (a) Use the regression capabilities of a graphing utility to find a linear model for the data. (Round your coefficients to three decimal places.) s = (b) Use a graphing utility to plot the data and graph the model. How well does the model fit the data? The data fit the model exactly because this is a law of nature. The data fit the model well but not exactly because of random variation. The data do not fit the model at all because a linear model is not appropriate. (c) Use the model to estimate the speed of the object after 3. 5 seconds. () m/s

Explanation / Answer

a)
Acalculator gives us ....

s = 9.83t + 0.2 ----> ANSWER

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b)
It is a very close fit...

Option B

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c)
Plug in t = 3.5 :

9.83(3.5) + 0.2

34.605 ----> ANSWER

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