matblabnumerical analysis 1
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 |
30.9 |
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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