The acceleration of certain objects is studied in an experimental testtrack for automobiles. The distance traveled by an object L is mea-sured as a function of time t to yield the following: Obtain a best fit to this data, considering first-, second, and third-or-der 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 obtàined.

Fig: 1

Fig: 2

Fig: 3