Posted: September 9th, 2015

Calculating the velocity using acceleration data.

Q1 / given the following data set:

Time (Sec)                      Displacement (m)                Acceleration (m/s2)
1 0 0
2.31                                      3.94                                           2.29
3.63                                      5.63                                            3.26
4.97                                      6.83                                            3.94
6.32                                      7.84                                             4.49
7.68                                      8.75                                             4.98
9.06                                      9.60                                              5.42
10.45                                    10.40                                            5.84
11.85                                     11.19                                            6.24
13.27                                     11.96                                           6.62
14.71                                     12.71                                            6.99
16.15                                     13.46                                              7.35
17.61                                      10.04                                             5.75
19.09                                       7.48                                               4.57
20.58                                         5.56                                             3.71
22.09                                         4.14                                             3.08
23.61                                       3.10                                                2.63
25.14                                       2.32                                                2.30
26.70                                       1.75                                               2.06
28.26                                       1.32                                                1.89
29.84                                         1.01                                                1.76
31.44                                        0.77                                                 1.67
33.06                                        0.60                                                 1.60
34.69                                        0.46                                                 1.55
36.34                                        0.36                                                 1.52
38.00                                          0.29                                                1.49
39.68                                          0.23                                                1.47
41.38                                          0.18                                                   1.45
43.09                                           0.15                                                 1.44
44.82                                          0.12                                                   1.43

a. Plot the data and find the best curve fit for displacement and for acceleration.
b. Calculate the velocity using displacement data.
c. Calculate the velocity using acceleration data.
d. Calculate the error between tasks 2 and 3 above.
e. Provide detailed physical description of the system.

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