mws_gen_int_ppt_discretedata

mws_gen_int_ppt_discretedata - Integrating Discrete...

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Integrating Discrete Functions http://numericalmethods.eng.usf.edu
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Integrating Discrete Functions Spline Method http://numericalmethods.eng.usf.edu
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Problem Statement The upward velocity of a rocket is given as a function of time. Using quadratic splines, find the distance covered between t=11 and t=16 seconds. t v(t) s m/s 0 0 10 227.04 15 362.78 20 517.35 22.5 602.97 30 901.67
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Data and Plot t v(t) s m/s 0 0 10 227.04 15 362.78 20 517.35 22.5 602.97 30 901.67
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Solution , ) ( 1 1 2 1 c t b t a t v 10 0 t , 2 2 2 2 c t b t a 15 10 t , 3 3 2 3 c t b t a 20 15 t , 4 4 2 4 c t b t a 5 . 22 20 t , 5 5 2 5 c t b t a 30 5 . 22 t
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Distance from Velocity Profile , 704 . 22 ) ( t t v 10 0 t , 88 . 88 928 . 4 8888 . 0 2 t t 15 10 t , 61 . 141 66 . 35 1356 . 0 2 t t 20 15 t , 55 . 554 956 . 33 6048 . 1 2 t t 5 . 22 20 t , 13 . 152 86 . 28 20889 . 0 2 t t 30 5 . 22 t  16 11 ) ( 11 16 dt t v S S
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Distance from Velocity Profile  , 88 . 88 928 . 4 8888 . 0
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This note was uploaded on 06/12/2011 for the course EML 3041 taught by Professor Kaw,a during the Spring '08 term at University of South Florida - Tampa.

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mws_gen_int_ppt_discretedata - Integrating Discrete...

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