Rocket Prediction Analysis - Kinematics | |||||||
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 | ||||||
Cd | 0.5 | ||||||
Initial Total Mass (kg) | 0.0926 | Air Density (kg/m^3) | 1.26 | ||||
Final Total Mass (kg) | 0.078 | ||||||
144.04 | 72.88 | 228.37 | 749.24 | ||||
Time intervals (s) | Thrust (N) | Mass (kg) | Drag (N) | Acceleration (m/s/s) | Velocity (m/s) | Altitude (m) | Ft |
0 | 0 | 0.0926 | 0 | -9.81 | 0 | 0 | 0 |
0.031 | 0.946 | 0.09242 | 0 | 0.42587968 | 0.01320227 | 0.00020464 | 0.000671 |
0.092 | 4.826 | 0.092065806 | 4.92642E-08 | 42.60902653 | 2.612352888 | 0.08028407 | 0.263399 |
0.139 | 9.936 | 0.091792903 | 0.001928846 | 98.41264908 | 7.237747395 | 0.31176142 | 1.022839 |
0.192 | 14.09 | 0.091485161 | 0.0148061 | 144.0422062 | 14.87198432 | 0.89766931 | 2.945109 |
0.209 | 11.446 | 0.091386452 | 0.062513192 | 114.7542719 | 16.82280695 | 1.16707504 | 3.828986 |
0.231 | 7.381 | 0.09125871 | 0.07998909 | 70.19344225 | 18.36706268 | 1.55416361 | 5.098962 |
0.248 | 6.151 | 0.09116 | 0.095348365 | 56.61882443 | 19.32958269 | 1.87458509 | 6.150214 |
0.292 | 5.489 | 0.090904516 | 0.105603617 | 49.41034034 | 21.50363767 | 2.77291594 | 9.097494 |
0.37 | 4.921 | 0.090451613 | 0.130694618 | 43.14986692 | 24.86932729 | 4.58146157 | 15.03104 |
0.475 | 4.448 | 0.089841935 | 0.174808244 | 37.75344276 | 28.83343878 | 7.40085679 | 24.28103 |
0.671 | 4.258 | 0.088703871 | 0.234977737 | 35.54340137 | 35.79994544 | 13.7349284 | 45.0621 |
0.702 | 4.542 | 0.088523871 | 0.362241802 | 37.40617065 | 36.95953673 | 14.8627004 | 48.76214 |
0.723 | 4.164 | 0.088401935 | 0.386088507 | 32.92561967 | 37.65097475 | 15.6461108 | 51.33239 |
0.85 | 4.448 | 0.087664516 | 0.4006695 | 36.35840061 | 42.26849162 | 20.7209969 | 67.98228 |
1.063 | 4.353 | 0.086427742 | 0.504972044 | 34.71306481 | 49.66237443 | 30.5116341 | 100.1038 |
1.211 | 4.353 | 0.085568387 | 0.697089908 | 32.9150088 | 54.53379573 | 38.2221507 | 125.4008 |
1.242 | 4.069 | 0.085388387 | 0.840553363 | 27.99896615 | 55.40176368 | 39.9261519 | 130.9913 |
1.303 | 4.258 | 0.085034194 | 0.867523038 | 30.0619247 | 57.23554109 | 43.3615897 | 142.2624 |
1.468 | 4.353 | 0.084076129 | 0.925902851 | 30.95183321 | 62.34259357 | 53.2267858 | 174.6286 |
1.656 | 4.448 | 0.082984516 | 1.098508868 | 30.55284464 | 68.08652836 | 65.4871233 | 214.8528 |
1.821 | 4.448 | 0.082026452 | 1.310256181 | 28.44282891 | 72.77959513 | 77.1085785 | 252.9809 |
1.834 | 2.933 | 0.081950968 | 1.497107915 | 7.711356062 | 72.87984276 | 78.0553648 | 256.0872 |
1.847 | 1.325 | 0.081875484 | 1.50123503 | -11.96247619 | 72.72433057 | 79.0017919 | 259.1922 |
1.86 | 0 | 0.0818 | 1.494835146 | -28.08426828 | 72.35923508 | 79.9448351 | 262.2862 |
1.96 | 0 | 0.081724 | 1.47986388 | -27.9180696 | 69.56742812 | 87.0411683 | 285.5681 |
2.06 | 0 | 0.081648 | 1.367872856 | -26.56329287 | 66.91109883 | 93.8650946 | 307.9564 |
2.16 | 0 | 0.081572 | 1.265406788 | -25.32275913 | 64.37882292 | 100.429591 | 329.4934 |
2.26 | 0 | 0.081496 | 1.171439596 | -24.18419746 | 61.96040317 | 106.746552 | 350.2184 |
2.36 | 0 | 0.08142 | 1.085081367 | -23.13696348 | 59.64670683 | 112.826908 | 370.167 |
2.46 | 0 | 0.081344 | 1.005557193 | -22.1717869 | 57.42952814 | 118.680719 | 389.3725 |
2.56 | 0 | 0.081268 | 0.932189768 | -21.28056367 | 55.30147177 | 124.317269 | 407.8651 |
2.66 | 0 | 0.081192 | 0.864384986 | -20.45618418 | 53.25585335 | 129.745136 | 425.673 |
2.76 | 0 | 0.081116 | 0.801619977 | -19.69239037 | 51.28661431 | 134.972259 | 442.8224 |
2.86 | 0 | 0.08104 | 0.743433104 | -18.98365627 | 49.38824869 | 140.006002 | 459.3373 |
2.96 | 0 | 0.080964 | 0.689415571 | -18.32508783 | 47.5557399 | 144.853201 | 475.2402 |
3.06 | 0 | 0.080888 | 0.63920435 | -17.71233842 | 45.78450606 | 149.520214 | 490.5519 |
3.16 | 0 | 0.080812 | 0.59247619 | -17.14153728 | 44.07035233 | 154.012957 | 505.2919 |
3.26 | 0 | 0.080736 | 0.548942532 | -16.60922874 | 42.40942946 | 158.336946 | 519.4782 |
3.36 | 0 | 0.08066 | 0.508345163 | -16.11232039 | 40.79819742 | 162.497327 | 533.1277 |
3.46 | 0 | 0.080584 | 0.470452506 | -15.64803864 | 39.23339356 | 166.498907 | 546.2563 |
3.56 | 0 | 0.080508 | 0.435056423 | -15.21389059 | 37.7120045 | 170.346177 | 558.8785 |
3.66 | 0 | 0.080432 | 0.40196947 | -14.80763117 | 36.23124138 | 174.043339 | 571.0083 |
3.76 | 0 | 0.080356 | 0.371022515 | -14.42723474 | 34.78851791 | 177.594327 | 582.6586 |
3.86 | 0 | 0.08028 | 0.342062676 | -14.07087041 | 33.38143087 | 181.002824 | 593.8413 |
3.96 | 0 | 0.080204 | 0.314951537 | -13.73688067 | 32.0077428 | 184.272283 | 604.5679 |
4.06 | 0 | 0.080128 | 0.289563577 | -13.42376269 | 30.66536653 | 187.405938 | 614.8489 |
4.16 | 0 | 0.080052 | 0.265784809 | -13.13015202 | 29.35235133 | 190.406824 | 624.6943 |
4.26 | 0 | 0.079976 | 0.243511586 | -12.85480827 | 28.0668705 | 193.277785 | 634.1135 |
4.36 | 0 | 0.0799 | 0.222649548 | -12.5966026 | 26.80721024 | 196.021489 | 643.1151 |
4.46 | 0 | 0.079824 | 0.203112699 | -12.35450665 | 25.57175958 | 198.640438 | 651.7075 |
4.56 | 0 | 0.079748 | 0.184822594 | -12.12758281 | 24.3590013 | 201.136976 | 659.8982 |
4.66 | 0 | 0.079672 | 0.167707619 | -11.91497564 | 23.16750373 | 203.513301 | 667.6946 |
4.76 | 0 | 0.079596 | 0.151702354 | -11.71590424 | 21.99591331 | 205.771472 | 675.1033 |
4.86 | 0 | 0.07952 | 0.136747008 | -11.52965554 | 20.84294775 | 207.913415 | 682.1306 |
4.96 | 0 | 0.079444 | 0.122786923 | -11.3555783 | 19.70738992 | 209.940932 | 688.7826 |
5.06 | 0 | 0.079368 | 0.109772121 | -11.19307782 | 18.58808214 | 211.855706 | 695.0647 |
5.16 | 0 | 0.079292 | 0.097656915 | -11.0416112 | 17.48392102 | 213.659306 | 700.982 |
5.26 | 0 | 0.079216 | 0.086399555 | -10.90068314 | 16.39385271 | 215.353194 | 706.5394 |
5.36 | 0 | 0.07914 | 0.075961913 | -10.76984222 | 15.31686849 | 216.938731 | 711.7413 |
5.46 | 0 | 0.079064 | 0.066309202 | -10.64867755 | 14.25200073 | 218.417174 | 716.5918 |
5.56 | 0 | 0.078988 | 0.05740973 | -10.53681585 | 13.19831915 | 219.78969 | 721.0948 |
5.66 | 0 | 0.078912 | 0.049234676 | -10.43391875 | 12.15492727 | 221.057352 | 725.2538 |
5.76 | 0 | 0.078836 | 0.041757892 | -10.3396805 | 11.12095922 | 222.221147 | 729.072 |
5.86 | 0 | 0.07876 | 0.034955726 | -10.25382588 | 10.09557663 | 223.281973 | 732.5524 |
5.96 | 0 | 0.078684 | 0.028806871 | -10.17610838 | 9.077965795 | 224.240651 | 735.6977 |
6.06 | 0 | 0.078608 | 0.023292222 | -10.10630854 | 8.067334941 | 225.097916 | 738.5102 |
6.16 | 0 | 0.078532 | 0.018394755 | -10.04423261 | 7.06291168 | 225.854428 | 740.9922 |
6.26 | 0 | 0.078456 | 0.014099425 | -9.989711233 | 6.063940556 | 226.510771 | 743.1456 |
6.36 | 0 | 0.07838 | 0.010393067 | -9.94259845 | 5.069680711 | 227.067452 | 744.972 |
6.46 | 0 | 0.078304 | 0.007264321 | -9.902770758 | 4.079403636 | 227.524906 | 746.4728 |
6.56 | 0 | 0.078228 | 0.004703565 | -9.870126367 | 3.092390999 | 227.883496 | 747.6493 |
6.66 | 0 | 0.078152 | 0.002702854 | -9.844584583 | 2.107932541 | 228.143512 | 748.5024 |
6.76 | 0 | 0.078076 | 0.001255877 | -9.82608532 | 1.125324009 | 228.305175 | 749.0327 |
6.86 | 0 | 0.078 | 0.000357923 | -9.81458875 | 0.143865134 | 228.368634 | 749.2409 |
6.96 | 0 | 0.078 | 5.84985E-06 | -9.810074998 | -0.837142366 | 228.33397 | 749.1272 |
7.06 | 0 | 0.078 | 0.000198076 | -9.81253944 | -1.81839631 | 228.201193 | 748.6916 |
7.16 | 0 | 0.078 | 0.000934568 | -9.821981641 | -2.800594474 | 227.970244 | 747.9339 |
7.26 | 0 | 0.078 | 0.00221684 | -9.838421022 | -3.784436576 | 227.640992 | 746.8537 |
7.36 | 0 | 0.078 | 0.004047961 | -9.861896933 | -4.77062627 | 227.213239 | 745.4503 |
7.46 | 0 | 0.078 | 0.006432572 | -9.892468866 | -5.759873156 | 226.686714 | 743.7228 |
7.56 | 0 | 0.078 | 0.009376908 | -9.930216775 | -6.752894834 | 226.061076 | 741.6702 |
7.66 | 0 | 0.078 | 0.012888839 | -9.975241529 | -7.750418987 | 225.33591 | 739.2911 |
7.76 | 0 | 0.078 | 0.016977909 | -10.0276655 | -8.753185537 | 224.51073 | 736.5838 |
7.86 | 0 | 0.078 | 0.021655395 | -10.08763327 | -9.761948863 | 223.584973 | 733.5465 |
7.96 | 0 | 0.078 | 0.026934374 | -10.15531249 | -10.77748011 | 222.558002 | 730.1772 |
8.06 | 0 | 0.078 | 0.032829804 | -10.23089493 | -11.80056961 | 221.429099 | 726.4734 |
8.16 | 0 | 0.078 | 0.039358612 | -10.31459759 | -12.83202936 | 220.197469 | 722.4327 |
8.26 | 0 | 0.078 | 0.046539801 | -10.40666412 | -13.87269578 | 218.862233 | 718.052 |
8.36 | 0 | 0.078 | 0.054394572 | -10.5073663 | -14.92343241 | 217.422426 | 713.3282 |
8.46 | 0 | 0.078 | 0.062946456 | -10.61700584 | -15.98513299 | 215.876998 | 708.2579 |
8.56 | 0 | 0.078 | 0.072221473 | -10.73591632 | -17.05872462 | 214.224805 | 702.8373 |
8.66 | 0 | 0.078 | 0.082248304 | -10.86446544 | -18.14517117 | 212.46461 | 697.0624 |
8.76 | 0 | 0.078 | 0.093058484 | -11.00305749 | -19.24547692 | 210.595078 | 690.9288 |
8.86 | 0 | 0.078 | 0.104686623 | -11.15213619 | -20.36069054 | 208.61477 | 684.4317 |
8.96 | 0 | 0.078 | 0.117170651 | -11.31218783 | -21.49190932 | 206.52214 | 677.5661 |
9.06 | 0 | 0.078 | 0.130552092 | -11.48374477 | -22.6402838 | 204.31553 | 670.3266 |
9.16 | 0 | 0.078 | 0.144876374 | -11.66738941 | -23.80702274 | 201.993165 | 662.7073 |
9.26 | 0 | 0.078 | 0.160193175 | -11.86375865 | -24.9933986 | 199.553144 | 654.7019 |
9.36 | 0 | 0.078 | 0.176556807 | -12.07354881 | -26.20075348 | 196.993436 | 646.3039 |
9.46 | 0 | 0.078 | 0.194026655 | -12.29752122 | -27.43050561 | 194.311873 | 637.5062 |
9.56 | 0 | 0.078 | 0.212667664 | -12.53650852 | -28.68415646 | 191.50614 | 628.301 |
9.66 | 0 | 0.078 | 0.232550887 | -12.79142163 | -29.96329862 | 188.573767 | 618.6804 |
9.76 | 0 | 0.078 | 0.253754107 | -13.06325779 | -31.2696244 | 185.512121 | 608.6356 |
9.86 | 0 | 0.078 | 0.276362533 | -13.3531094 | -32.60493534 | 182.318393 | 598.1575 |
9.96 | 0 | 0.078 | 0.300469589 | -13.66217421 | -33.97115276 | 178.989589 | 587.2362 |
10.06 | 0 | 0.078 | 0.326177804 | -13.99176672 | -35.37032943 | 175.522515 | 575.8613 |
10.16 | 0 | 0.078 | 0.353599828 | -14.34333113 | -36.80466255 | 171.913765 | 564.0216 |
10.26 | 0 | 0.078 | 0.382859578 | -14.71845612 | -38.27650816 | 168.159706 | 551.7051 |
10.36 | 0 | 0.078 | 0.414093543 | -15.11889158 | -39.78839732 | 164.256461 | 538.8992 |
10.46 | 0 | 0.078 | 0.447452282 | -15.54656772 | -41.34305409 | 160.199889 | 525.5902 |
10.56 | 0 | 0.078 | 0.483102124 | -16.00361697 | -42.94341579 | 155.985565 | 511.7637 |
10.66 | 0 | 0.078 | 0.521227124 | -16.49239902 | -44.59265569 | 151.608762 | 497.4041 |
10.76 | 0 | 0.078 | 0.56203131 | -17.01552962 | -46.29420865 | 147.064418 | 482.4948 |