# 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 канвертавання 26.04.2016 Памер 11.46 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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