matlab work Need in 10 hours
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.
2)The temperature T of a small copper sphere cooling in air is measured as a function of time t to yield the following:
|
t(s) |
0.2 |
0.6 |
1.0 |
1.8 |
2.0 |
3.0 |
5.0 |
6,0 |
8.0 |
|
T(C) |
146.0 |
129.5 |
114.8 |
90.3 |
85.1 |
63.0 |
34.6 |
25.6 |
14.1 |
An exponential temperature decrease is expected from theoretical considerations. Using linear regression, obtain the exponent c and the constant C, where
T=Ce^(-ct) represents the variation. Also, solve this problem using the polyfit function in MATLAB.
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