In: Mechanical Engineering
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.