Procedure Plot the following altitude readings for Felix as he falls using Logger Pro. Curve fit your d(t) data. Use your d(t) fit equation to generate a v(t) equation using calculus




Дата канвертавання26.04.2016
Памер11.46 Kb.
Red Bull Stratos Felix Baumgartner Free Fall Analysis
Procedure

1. Plot the following altitude readings for Felix as he falls using Logger Pro.

2. Curve fit your d(t) data.

3. Use your d(t) fit equation to generate a v(t) equation using calculus.

4. In the curve fit equation mode create a calculated column and check the “show curve fit” and “plot

column” boxes. Enter your v(t) equation coefficients into the appropriate math model. Your v(t) graph

should be displayed.

5. Use your v(t) fit equation to generate a a(t) equation using calculus.

6. Repeat step 4 but this time enter your a(t) equation coefficients into the appropriate math model.

Analysis

1. Use the v(t) graph to determine Feli’s maximum velocity. Put your answer in miles/hour.

2. Manually determine his maximum velocity using data points on your d(t) graph.

3. Compare your answers to 1 and 2. Account for differences.

4.. Felix’s actual max velocity has been reported at 843.6 mph. Comment on the accuracy of your

answers.


5. How can you tell from your a(t) graph when Felix hit maximum velocity according to your

mathematical model?

6. Is the air thin enough in the stratosphere to allow Felix to accelerate at -9.8 m/s2? Defend your

answer.
Actual Data


Time (s) Altitude (ft) Altitude (m)

0 127850 38969

0.467 127840 38966

1.534 127802 38954

5.538 127343 38815

7.474 126939 38691

10.477 126067 38426

12.479 125298 38191

15.649 123846 37748

17.384 122899 37460

20.086 121283 36967

22.155 119898 36545

25.325 117494 35813

27.260 115918 35332

30.597 112929 34421

32.188 111417 33960

35.235 108243 32993

37.304 106153 32356

40.106 103018 31400

42.142 100605 30665



Time (s) Altitude (ft) Altitude (m)
45.178 97087 29593

47.213 94636 28845

50.016 91247 27812

52.052 88739 27048

55.055 85108 25941

57.157 82645 25191

60.327 78969 24070

62.295 76911 23443

65.165 74182 22611

67.200 72325 22045

70.437 69528 21193

72.072 68197 20787

75.408 65671 20017

77.110 64495 19658

80.180 62359 19007

82.282 61044 18607

85.318 59150 18029

87.220 58070 17700

90.357 56242 17143

95.228 53668 16358

100.133 51271 15628

105.438 48979 14929

110.176 47021 14332

115.415 45000 13716

120.020 43349 13213

130.330 39805 12133

140.040 36556 11143

150.050 33313 10154

160.160 30279 9230

170.503 27493 8380



180.013 24984 7616

190.056 22408 6830


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