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In: Mechanical Engineering

The acceleration of certain objects is studied in an experimental test track for automobiles. The distance...

The acceleration of certain objects is studied in an experimental test track for automobiles. The distance traveled by an object L is measured as a function of time t to yield the following:
t (s) 0.1 0.2 0.5 1.0 1.5 1.8 2.0 3.0

L (m) 0.26 0.55 1.56 3.90 7.41 10.28 12.6 30.

Obtain a best fit to this data, considering first-, second, and third-order polynomials. Using these polynomials, calculate the values of the dependent variable L at the time intervals employed for the given data to evaluate the accuracy of the polynomial representations. Discuss the results obtained.

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