Rocket Prediction Analysis - Using Conservation of Energy
Rocket Polaris Engine C6-5
Mass (kg) 0.0686 Mass (kg) 0.024
Diameter (m) 0.0338 Propellant Mass (kg) 0.0108
# of Fins 3 After Firing Mass (kg) 0.0094
Thickness (m)   Delay Charge Mass (kg) 0.0038
Length (m)   Burn Time (s) 1.86
Fin Area (m^2)   Delay Time (s) 5
Total Area 0.00089727 Total Impluse (Ns) 9
Cd 0.5 Estimated Altitude (m) 228
Initial Total Mass (kg) 0.0926 Air Density (kg/m^3) 1.26
Final Total Mass (kg) 0.078 Estimated PEeng (J) 174.46104
54.01 147.50
Altitude (m) Thrust (N) Mass (kg) Drag Energy Loss (J) PEeng (J) PEg (J) Velocity (m/s) KEr (J) Time (s) Acceleration (m/s/s)
0 0 0.0926 0 174.46104 0 0 0 0 0
0.2 0.946 0.09242 0 171.553356 0.18132804 7.681097797 2.726356 0.052075889 147.4981584 0.42588
0.4 4.826 0.092117624 0.003335112 169.5765164 0.361469556 9.90602334 4.519719 0.074819805 97.82508765
0.6 4.826 0.091985562 0.005547056 167.4432222 0.54142702 11.86139088 6.470844 0.093195897 106.408238
0.8 9.936 0.091878863 0.007953075 165.7196136 0.721065313 13.20652996 8.012408 0.109152545 84.2995999
1 9.936 0.091786211 0.009859191 164.2229397 0.90042273 14.25661158 9.327818 0.123717521 72.09635056
1.2 9.936 0.09170164 0.011489377 162.8567994 1.079511708 15.14240036 10.51324 0.137323421 65.10328721
1.4 9.936 0.091622638 0.012961441 161.580617 1.258345313 15.91890466 11.60912 0.15020118 60.29809236
1.6 14.09 0.091547864 0.014324854 160.3727314 1.436935275 16.61551151 12.63705 0.162495853 56.65924311
1.8 14.09 0.091476476 0.015605988 159.2195371 1.615291608 17.25039349 13.61061 0.174307142 53.75213197
2 11.446 0.091407894 0.016821389 158.1116823 1.793422881 17.83578005 14.53911 0.185707644 51.34743587
2.5 11.446 0.091341698 0.044956041 157.0423579 2.240155132 18.20334361 15.13357 0.213455267 13.24666845
3 7.381 0.091180582 0.046828061 154.4397347 2.683444538 19.47485724 17.29103 0.239995812 47.90834612
4 4.921 0.091026476 0.107196943 151.9503309 3.571878916 20.34113242 18.83163 0.290226888 17.24580172
5 4.921 0.090734812 0.116945655 147.2388439 4.45054251 22.34638416 22.65471 0.337078993 42.79960846
6 4.921 0.090462767 0.141139429 142.8442918 5.324638474 24.04495493 26.15097 0.380190488 39.39948636
7 4.448 0.090212442 0.163411182 138.8005949 6.194888415 25.48774938 29.30215 0.420567851 35.73275534
8 4.448 0.089977993 0.183610203 135.0133493 7.0614729 26.75422449 32.20261 0.458851244 33.08157983
9 4.448 0.089755702 0.202310568 131.4225103 7.92453097 27.89134114 34.91169 0.495450737 31.06919142
10 4.258 0.089543189 0.219873369 127.9896148 8.784186867 28.92845862 37.46736 0.530649735 29.46440351
11 4.258 0.089338808 0.236529015 124.6880805 9.64055077 29.88539111 39.89588 0.564655331 28.14044196
12 4.258 0.089141356 0.252436252 121.4984829 10.49372045 30.77626973 42.2164 0.597625084 27.02108836
13 4.258 0.088949919 0.26771074 118.4060434 11.34378315 31.61159138 44.4435 0.629682602 26.05696551
14 4.258 0.088763778 0.282440229 115.3991681 12.19081733 32.39940273 46.58861 0.660927235 25.21429372
15 4.258 0.088582358 0.296693372 112.4685385 13.03489398 33.1460294 48.66091 0.691440422 24.46898395
16 4.542 0.088405185 0.310525206 109.6065158 13.87607778 33.85654784 50.66792 0.72129002 23.80328325
17 4.164 0.088231864 0.323980732 106.8067352 14.71442803 34.53510297 52.6159 0.750533355 23.20375281
18 4.448 0.088062064 0.337097356 104.0638197 15.54999933 35.1851292 54.51012 0.779219433 22.65999007
19 4.448 0.0878955 0.349906601 101.373173 16.38284226 35.80950845 56.35512 0.807390575 22.16378921
20 4.448 0.087731926 0.362435354 98.73082528 17.21300382 36.41068577 58.15478 0.83508366 21.70857149
21 4.448 0.087571127 0.374706782 96.1333175 18.0405279 36.99075579 59.91249 0.862331081 21.28898776
22 4.353 0.087412916 0.386741026 93.57761135 18.8654556 37.55152837 61.63123 0.889161491 20.90063462
23 4.353 0.087257127 0.398555743 91.06101935 19.68782553 38.09457938 63.31364 0.915600392 20.53984741
24 4.353 0.087103611 0.410166513 88.58114931 20.50767409 38.62129038 64.96205 0.941670618 20.20354633
25 4.353 0.086952235 0.42158718 86.13585974 21.32503566 39.13288019 66.57856 0.967392711 19.88912049
26 4.353 0.086802881 0.432830107 83.72322367 22.13994284 39.6304301 68.16504 0.992785244 19.5943389
27 4.353 0.086655441 0.4439064 81.34149904 22.95242653 40.11490437 69.72321 1.017865081 19.31728157
28 4.353 0.086509816 0.454826079 78.98910417 23.76251616 40.58716698 71.25459 1.042647593 19.05628531
29 4.353 0.086365917 0.465598221 76.66459734 24.57023979 41.04799538 72.7606 1.06714684 18.80990077
30 4.353 0.086223664 0.476231087 74.36665965 25.37562417 41.49809202 74.24253 1.091375729 18.57685801
31 4.353 0.08608298 0.486732218 72.09408051 26.17869494 41.93809388 75.70153 1.115346144 18.35603864
32 4.353 0.085943797 0.497108525 69.84574528 26.97947662 42.36858063 77.13871 1.139069058 18.1464531
33 4.353 0.085806051 0.507366357 67.62062471 27.77799277 42.79008143 78.55506 1.162554631 17.94722206
34 4.353 0.085669683 0.517511567 65.41776581 28.574266 43.2030808 79.9515 1.185812294 17.75756092
35 4.353 0.085534638 0.527549566 63.23628404 29.36831806 43.60802362 81.32889 1.208850822 17.57676701
36 4.353 0.085400866 0.537485366 61.07535638 30.16016991 44.00531947 82.68803 1.231678395 17.40420879
37 4.069 0.085268319 0.547323622 58.93421544 30.94984175 44.39534633 84.02966 1.254302659 17.23931677
38 4.258 0.085136952 0.557068668 56.81214414 31.73735308 44.77845383 85.35447 1.276730771 17.08157582
39 4.258 0.085006725 0.566724546 54.70847113 32.52272275 45.15496611 86.66312 1.298969445 16.93051864
40 4.258 0.084877597 0.576295034 52.62256673 33.30596897 45.52518429 87.95621 1.321024988 16.78572013
41 4.353 0.084749532 0.58578367 50.55383929 34.0871094 45.88938864 89.23431 1.342903338 16.64679258
42 4.353 0.084622497 0.595193774 48.50173195 34.86616111 46.24784052 90.49795 1.36461009 16.51338149
43 4.353 0.084496458 0.604528463 46.46571982 35.64314068 46.60078408 91.74765 1.386150528 16.38516203
44 4.353 0.084371384 0.613790671 44.44530738 36.4180642 46.94844778 92.98388 1.407529645 16.26183582
45 4.353 0.084247247 0.622983166 42.44002618 37.19094729 47.29104572 94.20708 1.42875217 16.14312827
46 4.353 0.08412402 0.632108558 40.44943275 37.96180511 47.62877888 95.41769 1.449822584 16.02878614
47 4.353 0.084001675 0.641169315 38.47310676 38.73065244 47.96183616 96.61611 1.47074514 15.91857544
48 4.448 0.08388019 0.650167772 36.5106493 39.49750364 48.29039539 97.80272 1.491523879 15.81227957
49 4.448 0.083759539 0.659106142 34.56168133 40.26237269 48.61462417 98.97788 1.512162645 15.70969772
50 4.448 0.083639701 0.667986524 32.62584233 41.02527323 48.93468064 100.1419 1.532665097 15.61064336
51 4.448 0.083520654 0.676810913 30.70278899 41.78621854 49.25071426 101.2952 1.553034726 15.51494297
52 4.448 0.083402379 0.685581204 28.79219408 42.54522158 49.56286639 102.438 1.573274859 15.42243489
53 4.448 0.083284856 0.694299202 26.89374535 43.302295 49.87127091 103.5707 1.593388675 15.33296831
54 4.448 0.083168066 0.702966627 25.00714462 44.05745115 50.17605471 104.6935 1.613379215 15.2464023
55 4.448 0.083051992 0.711585117 23.13210683 44.8107021 50.47733825 105.8066 1.633249384 15.16260502
56 4.448 0.082936616 0.720156239 21.26835927 45.56205963 50.77523592 106.9105 1.653001969 15.08145298
57 4.448 0.082821924 0.728681486 19.41564078 46.31153527 51.0698565 108.0052 1.672639635 15.00283034
58 4.448 0.082707899 0.737162291 17.57370111 47.05914031 51.36130353 109.091 1.692164944 14.92662834
59 4.448 0.082594526 0.745600019 15.74230023 47.80488578 51.6496756 110.1683 1.71158035 14.85274472
60 4.448 0.082481792 0.753995983 13.92120779 48.54878249 51.93506672 111.2371 1.730888213 14.78108323
61 4.448 0.082369681 0.762351438 12.1102025 49.29084101 52.21756661 112.2976 1.7500908 14.71155323
62 4.448 0.082258182 0.770667588 10.30907169 50.03107173 52.49726089 113.3502 1.769190292 14.64406918
63 4.448 0.082147282 0.778945592 8.517610822 50.7694848 52.77423141 114.395 1.788188788 14.57855036
64 4.448 0.082036968 0.787186559 6.735623011 51.5060902 53.04855646 115.4321 1.807088309 14.5149205
65 4.448 0.081927229 0.795391557 4.962918664 52.24089768 53.32031093 116.4618 1.825890803 14.45310744
66 2.933 0.081818053 0.803561614 3.199315076 52.97391686 53.58956655 117.4842 1.844598148 14.39304288
67 1.325 0.08170943 0.811697717 1.444636083 53.70515713 53.85639207 118.4995 1.863212157 14.3346621
68 0 0.081695283 0.819800819 0 54.49728969 54.00730448 119.1439 1.881754076 8.138984783
69 0 0.081681192 0.824401626 0 55.28918178 53.83112175 118.3475 1.900300341 -9.499633826
70 0 0.081667096 0.819031671 0 56.08079513 53.65663955 117.5612 1.918907111 -9.377350413
71 0 0.081652955 0.813730839 0 56.87209989 53.48159747 116.7752 1.937574582 -9.376849963
72 0 0.081638768 0.808430291 0 57.66309463 53.3060059 115.9895 1.956303348 -9.375501368
73 0 0.081624534 0.803130505 0 58.45377765 53.12985954 115.2041 1.975094006 -9.374145481
74 0 0.081610253 0.797831485 0 59.24414725 52.95315309 114.4191 1.993947166 -9.372776323
75 0 0.081595925 0.79253324 0 60.03420171 52.77588118 113.6343 2.012863446 -9.371393718
76 0 0.081581548 0.787235776 0 60.82393929 52.59803836 112.8499 2.031843475 -9.369997444
77 0 0.081567124 0.781939101 0 61.6133582 52.41961909 112.0657 2.050887891 -9.368587276
78 0 0.08155265 0.776643224 0 62.40245665 52.24061771 111.2819 2.069997345 -9.367162983
79 0 0.081538127 0.771348151 0 63.19123283 52.06102852 110.4985 2.089172498 -9.365724329
80 0 0.081523554 0.766053892 0 63.97968487 51.88084568 109.7153 2.108414021 -9.364271072
81 0 0.08150893 0.760760454 0 64.7678109 51.70006327 108.9325 2.127722599 -9.362802965
82 0 0.081494256 0.755467846 0 65.55560903 51.51867528 108.15 2.147098926 -9.361319754
83 0 0.08147953 0.750176077 0 66.34307732 51.33667559 107.3678 2.166543709 -9.35982118
84 0 0.081464751 0.744885155 0 67.13021381 51.15405797 106.5859 2.186057668 -9.358306977
85 0 0.081449921 0.739595088 0 67.91701652 50.97081609 105.8044 2.205641535 -9.356776872
86 0 0.081435037 0.734305887 0 68.70348343 50.78694352 105.0233 2.225296056 -9.355230587
87 0 0.0814201 0.72901756 0 69.48961249 50.6024337 104.2424 2.245021989 -9.353667836
88 0 0.081405108 0.723730116 0 70.27540163 50.41727997 103.4619 2.264820105 -9.352088327
89 0 0.081390061 0.718443565 0 71.06084873 50.23147555 102.6817 2.28469119 -9.350491758
90 0 0.081374959 0.713157916 0 71.84595165 50.04501354 101.9019 2.304636044 -9.348877823
91 0 0.081359801 0.70787318 0 72.63070822 49.85788692 101.1225 2.324655483 -9.347246206
92 0 0.081344587 0.702589366 0 73.41511624 49.67008853 100.3433 2.344750336 -9.345596583
93 0 0.081329314 0.697306484 0 74.19917345 49.4816111 99.56456 2.364921447 -9.343928623
94 0 0.081313984 0.692024546 0 74.98287758 49.29244722 98.78614 2.385169679 -9.342241985
95 0 0.081298596 0.686743561 0 75.7662263 49.10258935 98.00807 2.405495908 -9.34053632
96 0 0.081283148 0.68146354 0 76.54921728 48.91202979 97.23036 2.425901027 -9.338811269
97 0 0.08126764 0.676184494 0 77.33184812 48.72076072 96.45301 2.446385948 -9.337066464
98 0 0.081252071 0.670906435 0 78.11411638 48.52877417 95.67602 2.466951599 -9.335301527
99 0 0.081236441 0.665629373 0 78.89601961 48.336062 94.89939 2.487598926 -9.333516071
100 0 0.08122075 0.66035332 0 79.67755528 48.14261595 94.12313 2.508328895 -9.331709697
101 0 0.081204995 0.655078289 0 80.45872084 47.94842757 93.34724 2.52914249 -9.329881995
102 0 0.081189176 0.64980429 0 81.2395137 47.75348827 92.57172 2.550040713 -9.328032545
103 0 0.081173294 0.644531338 0 82.01993121 47.55778926 91.79658 2.571024589 -9.326160915
104 0 0.081157346 0.639259443 0 82.7999707 47.36132163 91.02181 2.592095161 -9.32426666
105 0 0.081141332 0.633988619 0 83.57962942 47.16407624 90.24742 2.613253496 -9.322349323
106 0 0.081125252 0.628718879 0 84.35890459 46.96604381 89.47342 2.63450068 -9.320408435
107 0 0.081109104 0.623450236 0 85.13779339 46.76721484 88.6998 2.655837824 -9.318443512
108 0 0.081092888 0.618182703 0 85.91629293 46.56757966 87.92656 2.677266059 -9.316454057
109 0 0.081076602 0.612916296 0 86.69440028 46.36712841 87.15372 2.698786545 -9.314439559
110 0 0.081060247 0.607651027 0 87.47211246 46.16585099 86.38128 2.72040046 -9.31239949
111 0 0.08104382 0.602386911 0 88.24942642 45.96373713 85.60923 2.742109013 -9.310333309
112 0 0.081027322 0.597123963 0 89.02633906 45.76077633 84.83758 2.763913435 -9.308240457
113 0 0.08101075 0.591862198 0 89.80284724 45.55695786 84.06633 2.785814985 -9.306120358
114 0 0.080994105 0.586601632 0 90.57894773 45.35227078 83.29549 2.807814952 -9.30397242
115 0 0.080977385 0.58134228 0 91.35463727 45.14670389 82.52506 2.82991465 -9.301796033
116 0 0.08096059 0.576084158 0 92.1299125 44.94024579 81.75504 2.852115424 -9.299590566
117 0 0.080943717 0.570827283 0 92.90477004 44.73288478 80.98544 2.874418649 -9.297355371
118 0 0.080926767 0.565571672 0 93.6792064 44.52460894 80.21626 2.896825731 -9.295089777
119 0 0.080909737 0.560317341 0 94.45321805 44.31540607 79.4475 2.919338109 -9.292793094
120 0 0.080892628 0.555064308 0 95.22680137 44.1052637 78.67917 2.941957255 -9.290464609
121 0 0.080875437 0.549812592 0 95.9999527 43.89416907 77.91127 2.964684674 -9.288103586
122 0 0.080858164 0.54456221 0 96.77266826 43.68210915 77.14381 2.987521908 -9.285709265
123 0 0.080840808 0.539313182 0 97.54494422 43.46907059 76.37678 3.010470536 -9.283280862
124 0 0.080823367 0.534065526 0 98.31677667 43.25503974 75.6102 3.033532174 -9.280817564
125 0 0.08080584 0.528819263 0 99.0881616 43.04000263 74.84406 3.056708476 -9.278318536
126 0 0.080788226 0.523574412 0 99.85909495 42.82394494 74.07837 3.080001139 -9.275782909
127 0 0.080770524 0.518330995 0 100.6295725 42.60685204 73.31314 3.103411901 -9.273209788
128 0 0.080752732 0.513089033 0 101.3995901 42.38870892 72.54836 3.126942541 -9.270598246
129 0 0.080734848 0.507848546 0 102.1691433 42.16950023 71.78405 3.150594887 -9.267947324
130 0 0.080716873 0.502609559 0 102.9382276 41.94921021 71.0202 3.17437081 -9.265256031
131 0 0.080698803 0.497372092 0 103.7068386 41.72782274 70.25683 3.198272231 -9.262523336
132 0 0.080680638 0.49213617 0 104.4749715 41.50532128 69.49393 3.222301121 -9.259748177
133 0 0.080662376 0.486901817 0 105.2426216 41.28168886 68.73152 3.2464595 -9.256929449
134 0 0.080644015 0.481669058 0 106.0097841 41.05690811 67.96959 3.270749445 -9.254066009
135 0 0.080625555 0.476437917 0 106.7764539 40.83096117 67.20815 3.295173087 -9.25115667
136 0 0.080606993 0.47120842 0 107.542626 40.60382974 66.44721 3.319732615 -9.248200204
137 0 0.080588328 0.465980595 0 108.3082951 40.37549503 65.68676 3.344430277 -9.245195332
138 0 0.080569558 0.460754469 0 109.0734558 40.14593775 64.92683 3.369268384 -9.242140729
139 0 0.080550681 0.455530069 0 109.8381027 39.91513808 64.16741 3.394249313 -9.23903502
140 0 0.080531695 0.450307425 0 110.6022302 39.68307566 63.4085 3.419375505 -9.235876773
141 0 0.080512599 0.445086566 0 111.3658325 39.44972959 62.65012 3.444649473 -9.232664503
142 0 0.080493391 0.439867522 0 112.1289037 39.21507837 61.89227 3.470073802 -9.229396662
143 0 0.080474069 0.434650327 0 112.8914377 38.97909989 61.13495 3.495651154 -9.226071644
144 0 0.08045463 0.42943501 0 113.6534283 38.74177142 60.37818 3.521384268 -9.222687775
145 0 0.080435073 0.424221607 0 114.4148691 38.50306957 59.62195 3.547275964 -9.219243311
146 0 0.080415395 0.41901015 0 115.1757536 38.26297026 58.86628 3.573329151 -9.215736437
147 0 0.080395595 0.413800676 0 115.936075 38.02144872 58.11116 3.599546825 -9.212165261
148 0 0.080375669 0.408593221 0 116.6958265 37.77847942 57.35662 3.625932074 -9.20852781
149 0 0.080355616 0.403387822 0 117.4550008 37.53403606 56.60265 3.652488085 -9.204822026
150 0 0.080335434 0.398184518 0 118.2135908 37.28809155 55.84926 3.679218146 -9.20104576
151 0 0.080315119 0.392983348 0 118.9715888 37.04061795 55.09647 3.706125649 -9.197196767
152 0 0.080294669 0.387784354 0 119.7289871 36.79158644 54.34427 3.7332141 -9.193272704
153 0 0.080274082 0.382587578 0 120.4857779 36.54096729 53.59267 3.760487117 -9.18927112
154 0 0.080253354 0.377393065 0 121.2419528 36.28872981 52.84169 3.787948442 -9.18518945
155 0 0.080232484 0.372200858 0 121.9975034 36.03484233 52.09134 3.815601943 -9.18102501
156 0 0.080211467 0.367011006 0 122.752421 35.77927209 51.34161 3.843451622 -9.176774991
157 0 0.080190301 0.361823556 0 123.5066966 35.52198529 50.59252 3.871501618 -9.172436446
158 0 0.080168983 0.356638559 0 124.260321 35.26294693 49.84408 3.899756219 -9.168006287
159 0 0.08014751 0.351456065 0 125.0132846 35.00212084 49.0963 3.928219865 -9.163481274
160 0 0.080125878 0.34627613 0 125.7655775 34.73946959 48.34919 3.956897157 -9.158858005
161 0 0.080104083 0.341098808 0 126.5171895 34.47495441 47.60275 3.985792869 -9.154132905
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228 0 0.078 0.005465887 0 174.46104 #NUM! #NUM! #NUM! #NUM!
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