The acceleration of certain objects is studied in anexperimental test track for automobiles. The distance traveled byan object L is measured as a function of time t to yield thefollowing:
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, andthird-order polynomials. Using these polynomials, calculate thevalues of the dependent variable L at the time intervals employedfor the given data to evaluate the accuracy of the polynomialrepresentations. Discuss the results obtained.
