FANDOM


CONSTANTS VALUES units
Calculated VALUES units
Mass of the Ninja 100 KG
Mass of the System 150 KG
Mass of the Bobsled 50 KG
Impact granted momentum 1072 KG-M/S







Area of the Ninja 0.7 M^2



Drag coefficient 0.37 Unitless










Mass of the sphere 100 KG



Velocity of the sphere 13.4 M/S



Efficiency of the impact 0.8 Unitless










Time between impacts 0.5 Seconds



Calculation Table:

Impact # Velocity Distance Momentum t Resistance
Velocity (MPH) Distance (feet) Miles
0 0 0 0 0 0
0 0 0
1 7.1466666667 3.5733333333 1072 0.5 13.2283847111
16.0085333333 11.5776 0.0021927273
2 14.2492387176 10.6979526921 2137.3858076445 1 52.5875682443
31.9182947275 34.6613667226 0.0065646528
3 21.2206134901 21.3082594372 3183.0920235223 1.5 116.6314391567
47.5341742179 69.0387605766 0.0130755228
4 27.978508693 35.2975137837 4196.776303944 2 202.7444097086
62.6718594722 114.3639446592 0.021659838
5 34.4493606606 52.522194114 5167.4040990897 2.5 307.3704385303
77.1665678797 170.1719089294 0.0322295282
6 40.5714591988 72.8079237134 6085.7188798245 3 426.3252150943
90.8800686054 235.8976728315 0.0446775896
7 46.2970418152 95.956444621 6944.5562722774 3.5 555.1447649367
103.705373666 310.8988805721 0.0588823637
8 51.5932259321 121.753057587 7738.983889809 4 689.4219891778
115.5688260878 394.479906582 0.0747121035
9 56.4418193015 149.9739672378 8466.2728952201 4.5 825.0908522094
126.4296752353 485.9156538504 0.0920294799
10 60.8381831274 180.3930588015 9125.7274691154 5 958.6326922981
136.2775302055 584.4735105168 0.1106957406
11 64.7894074864 212.7877625447 9718.4111229663 5.5 1087.1958365131
145.1282727696 689.4323506449 0.1305743088
12 68.3120880314 246.9438065604 10246.8132047098 6 1208.6342151433
153.0190771903 800.0979332557 0.1515336995
13 71.4299739809 282.6587935509 10714.4960971382 6.5 1321.480466375
160.0031417173 915.8144911048 0.1734497142
14 74.1717057597 319.7446464307 11125.7558639507 7 1424.8734612425
166.1446209017 1035.9726544355 0.1962069421
15 76.5687942222 358.0290435418 11485.3191333294 7.5 1518.460084398
171.5140990577 1160.0141010755 0.2196996404
16 78.6539272742 397.3560071789 11798.0890911304 8 1602.2880313948
176.1847970942 1287.4334632597 0.2438320953
17 80.4596338362 437.585824097 12068.945075433 8.5 1676.7019433582
180.2295797931 1417.7780700743 0.2685185739
18 82.017294025 478.5944711095 12302.5941037539 9 1742.2506584696
183.7187386161 1550.6460863949 0.2936829709
19 83.3564584968 520.2727003579 12503.4687745191 9.5 1799.6094858401
186.7184670328 1685.6835491597 0.3192582479
20 84.5044268773 562.5249137966 12675.6640315991 10 1849.5185239232
189.2899162052 1822.580720701 0.3451857426
21 85.4860317976 605.2679296954 12822.9047696375 10.5 1892.7361628168
191.4887112266 1961.068092213 0.3714144114
22 86.3235779215 648.4297186561 12948.5366882291 11 1930.0058672401
193.3648145442 2100.9122884459 0.3979000546
23 87.0368916974 691.9481645048 13055.533754609 11.5 1962.0339137331
194.9626374022 2241.9120529957 0.4246045555
24 87.6434453183 735.769887164 13146.5167977425 12 1989.4757383801
196.321317513 2383.8944344113 0.451495158
25 88.1585261904 779.8491502592 13223.7789285525 12.5 2012.9287666742
197.4750986664 2526.7112468397 0.4785437967
26 88.5954303014 824.1468654099 13289.3145452154 13 2032.9299200068
198.4537638752 2670.235843928 0.5057264856
27 88.9656639014 868.6296973606 13344.849585212 13.5 2049.9563425356
199.2830871392 2814.3602194483 0.5330227688
28 89.2791427596 913.2692687404 13391.8714139442 14 2064.4282209606
199.9852797816 2958.9924307189 0.5604152331
29 89.5443820231 958.0414597519 13431.6573034639 14.5 2076.7128551415
200.5794157317 3104.0543295963 0.5878890776
30 89.768672506 1002.9257960049 13465.3008758932 15 2087.1293719417
201.0818264133 3249.479579056 0.6154317385
31 89.9582412661 1047.904916638 13493.7361899224 15.5 2095.95365947
201.5064604362 3395.2119299071 0.6430325625
32 90.1183957346 1092.9641145053 13517.7593601874 16 2103.4232396917
201.8652064455 3541.2037309971 0.6706825248
33 90.2536516023 1138.0909403064 13538.0477403415 16.5 2109.7419015342
202.1681795891 3687.4146465928 0.6983739861
34 90.3678452638 1183.2748629383 13555.1767895744 17 2115.0839915255
202.423973391 3833.8105559202 0.7261004841
35 90.4642319587 1228.5069789177 13569.6347938117 17.5 2119.5983113464
202.6398795876 3980.3626116934 0.7538565552
36 90.5455709209 1273.7797643782 13581.8356381385 18 2123.4116070696
202.8220788629 4127.0464365853 0.7816375827
37 90.6141988974 1319.0868638269 13592.1298346037 18.5 2126.6316578288
202.9758055301 4273.841438799 0.8094396664
38 90.6720933713 1364.4229105125 13600.8140056893 19 2129.3499857287
203.1054891516 4420.7302300605 0.8372595133
39 90.7209267522 1409.7833738886 13608.139012825 19.5 2131.64421665
203.2148759249 4567.698131399 0.8650943431
40 90.7621126967 1455.1644302369 13614.3169045 20 2133.5801252011
203.3071324405 4714.7327539676 0.8929418095
41 90.7968456127 1500.5628530432 13619.5268418995 20.5 2135.2133978614
203.3849341724 4861.8236438601 0.9207999325
42 90.8261342865 1545.9759201865 13623.9201429688 21 2136.5911473803
203.4505408017 5008.9619814041 0.9486670419
43 90.8508304619 1591.4013354174 13627.6245692787 21.5 2137.7532094628
203.5058602346 5156.1403267524 0.9765417286
44 90.871653097 1636.8371619659 13630.7479645473 22 2138.7332501738
203.5525029372 5303.3524047695 1.0044228039
45 90.8892089297 1682.2817664308 13633.3813394604 22.5 2139.5597096672
203.5918280026 5450.5929232356 1.0323092658
46 90.9040098975 1727.7337713795 13635.6014846268 23 2140.2566050008
203.6249821704 5597.8574192696 1.0602002688
47 90.9164878808 1773.1920153199 13637.4731821264 23.5 2140.8442120642
203.6529328531 5745.1421296366 1.0880951003
48 90.927007174 1818.6555189069 13639.0510760944 24 2141.339644106
203.6764960697 5892.4438812584 1.1159931593
49 90.9358750269 1864.1234564204 13640.3812540414 24.5 2141.7573420312
203.6963600604 6039.759998802 1.1438939392
50 90.9433505535 1909.5951316971 13641.5025830258 25 2142.1094895635
203.7131052399 6187.0882266987 1.1717970126
51 90.949652255 1955.0699578246 13642.447838244 25.5 2142.4063645322
203.7272210511 6334.4266633518 1.1997020196
52 90.9549643732 2000.5474400112 13643.2446559779 26 2142.656635929
203.7391201959 6481.7737056363 1.2276086564
53 90.9594422534 2046.0271611379 13643.9163380134 26.5 2142.8676149789
203.7491506477 6629.1280020869 1.2555166671
54 90.9632168702 2091.508769573 13644.4825305239 27 2143.0454672522
203.7576057892 6776.4884134165 1.2834258359
55 90.966398646 2136.991968896 13644.9597968978 27.5 2143.1953917987
203.764732967 6923.853979223 1.3113359809
56 90.9690806733 2182.4765092327 13645.3621009985 28 2143.3217723844
203.7707407082 7071.2238899138 1.3392469488
57 90.971341432 2227.9621799487 13645.7012148063 28.5 2143.4283051438
203.7758048078 7218.5974630337 1.3671586104
58 90.9732470816 2273.4488034895 13645.9870622344 29 2143.5181063018
203.7800734627 7365.9741233058 1.3950708567
59 90.9748533939 2318.9362301864 13646.2280090835 29.5 2143.5938030603
203.7836716023 7513.3533858039 1.4229835958
60 90.9762073837 2364.4243338783 13646.4311075533 30 2143.6576102693
203.7867045395 7660.7348417655 1.4508967503
61 90.9773486828 2409.9130082196 13646.6023024187 30.5 2143.7113950977
203.7892610495 7808.1181466316 1.478810255
62 90.9783106991 2455.4021635692 13646.7466048699 31 2143.756731576
203.7914159661 7955.5030099642 1.5067240549
63 90.9791215939 2500.8917243662 13646.8682390819 31.5 2143.7949465924
203.7932323703 8102.8891869463 1.5346381036
64 90.9798051052 2546.3816269188 13646.9707657857 32 2143.8271586797
203.7947634357 8250.2764712168 1.562552362
65 90.980381243 2591.8718175403 13647.0571864458 32.5 2143.8543107192
203.7960539843 8397.6646888304 1.5904667971
66 90.9808668739 2637.3622509772 13647.1300310862 33 2143.8771975161
203.7971417976 8545.0536931661 1.6183813813
67 90.9812762155 2682.852889085 13647.1914323282 33.5 2143.8964890475
203.7980587228 8692.4433606353 1.646296091
68 90.981621252 2728.343699711 13647.2431878044 34 2143.9127500628
203.7988316045 8839.8335870636 1.6742109066
69 90.9819120852 2773.8346557536 13647.2868127731 34.5 2143.9264566077
203.7994830707 8987.2242846415 1.7021258115
70 90.9821572298 2819.3257343685 13647.3235844692 35 2143.9380099545
203.8000321947 9134.6153793538 1.7300407915
71 90.9823638633 2864.8169163001 13647.354579492 35.5 2143.9477483449
203.8004950537 9282.0068088123 1.757955835
72 90.9825380355 2910.3081853178 13647.3807053195 36 2143.95595689
203.8008851994 9429.3985204298 1.7858709319
73 90.9826848458 2955.7995277407 13647.4027268745 36.5 2143.9628759147
203.8012140547 9576.79046988 1.8137860738
74 90.9828085928 3001.2909320371 13647.4212889172 37 2143.9687079925
203.8014912478 9724.1826198003 1.8417012538
75 90.9829128995 3046.7823884869 13647.4369349209 37.5 2143.9736238753
203.8017248948 9871.5749386975 1.8696164657
76 90.9830008199 3092.2738888968 13647.4501229832 38 2143.9777674917
203.8019218366 10018.9674000257 1.8975317046
77 90.9830749282 3137.7654263609 13647.4612392374 38.5 2143.9812601605
203.8020878393 10166.3599814094 1.9254469662
78 90.9831373944 3183.2569950581 13647.4706091572 39 2143.9842041423
203.8022277634 10313.7526639883 1.953362247
79 90.9831900472 3228.7485900818 13647.478507086 39.5 2143.9866856336
203.8023457058 10461.1454318649 1.9812775439
80 90.9832344285 3274.240207296 13647.4851642692 40 2143.9887772897
203.8024451198 10608.538271639 2.0091928545
81 90.9832718375 3319.7318432147 13647.4907756244 40.5 2143.9905403522
203.802528916 10755.9311720157 2.0371081765
82 90.9833033697 3365.2234948996 13647.4955054483 41 2143.9920264422
203.802599548 10903.3241234745 2.0650235082
83 90.9833299482 3410.7151598737 13647.4994922272 41.5 2143.993279071
203.8026590839 11050.7171179906 2.0929388481
84 90.9833523513 3456.2068360493 13647.5028526917 42 2143.9943349149
203.8027092669 11198.1101487997 2.1208541948
85 90.9833712349 3501.6985216667 13647.5056852342 42.5 2143.9952248881
203.8027515662 11345.5032102002 2.1487695474
86 90.9833871519 3547.1902152427 13647.5080727902 43 2143.9959750485
203.8027872203 11492.8962973863 2.1766849048
87 90.9834005684 3592.6819155269 13647.510085266 43.5 2143.9966073603
203.8028172733 11640.2894063072 2.2046002663
88 90.9834118772 3638.1736214655 13647.5117815858 44 2143.9971403372
203.802842605 11787.6825335483 2.2325156314
89 90.9834214094 3683.6653321703 13647.5132114172 44.5 2143.9975895846
203.8028639572 11935.0756762316 2.2604309993
90 90.9834294442 3729.1570468924 13647.5144166249 45 2143.9979682562
203.8028819549 12082.4688319312 2.2883463697
91 90.9834362166 3774.6487650007 13647.5154324968 45.5 2143.9982874392
203.8028971253 12229.8619986022 2.3162617422
92 90.9834419252 3820.1404859633 13647.5162887772 46 2143.9985564792
203.8029099124 12377.255174521 2.3441771164
93 90.9834467369 3865.6322093317 13647.5170105376 46.5 2143.9987832535
203.8029206907 12524.6483582348 2.3720924921
94 90.9834507927 3911.1239347281 13647.5176189108 47 2143.9989744021
203.8029297757 12672.041548519 2.400007869
95 90.9834542114 3956.6156618338 13647.5181317098 47.5 2143.9991355216
203.8029374335 12819.4347443415 2.427923247
96 90.983457093 4002.1073903803 13647.518563949 48 2143.9992713295
203.8029438883 12966.8279448321 2.4558386259
97 90.9834595219 4047.5991201412 13647.5189282843 48.5 2143.9993858022
203.802949329 13114.2211492576 2.4837540055
98 90.9834615692 4093.0908509258 13647.5192353832 49 2143.9994822916
203.8029539151 13261.6143569997 2.5116693858
99 90.9834632949 4138.5825825733 13647.5194942374 49.5 2143.9995636226
203.8029577806 13409.0075675375 2.5395847666
100 90.9834647495 4184.0743149481 13647.5197124261 50 2143.9996321766
203.8029610389 13556.4007804317 2.5675001478
101 90.9834659756 4229.5660479359 13647.5198963378 50.5 2143.999689961
203.8029637853 13703.7939953121 2.5954155294
102 90.983467009 4275.0577814404 13647.5200513573 51 2143.9997386675
203.8029661003 13851.1872118668 2.6233309113
103 90.9834678802 4320.5495153805 13647.5201820235 51.5 2143.9997797224
203.8029680516 13998.5804298326 2.6512462935
104 90.9834686144 4366.0412496877 13647.5202921623 52 2143.9998143276
203.8029696963 14145.973648988 2.6791616759
105 90.9834692333 4411.5329843043 13647.5203849985 52.5 2143.9998434964
203.8029710826 14293.366869146 2.7070770586
106 90.983469755 4457.0247191818 13647.5204632504 53 2143.9998680828
203.8029722512 14440.7600901491 2.7349924413
107 90.9834701947 4502.5164542792 13647.520529209 53.5 2143.9998888067
203.8029732362 14588.1533118645 2.7629078242
108 90.9834705654 4548.0081895619 13647.5205848056 54 2143.999906275
203.8029740664 14735.5465341804 2.7908232072
109 90.9834708778 4593.4999250008 13647.5206316681 54.5 2143.999920999
203.8029747662 14882.9397570025 2.8187385903
110 90.9834711411 4638.9916605713 13647.5206711686 55 2143.9999334099
203.8029753561 15030.3329802511 2.8466539735
111 90.9834713631 4684.4833962529 13647.5207044636 55.5 2143.9999438711
203.8029758533 15177.7262038593 2.8745693568
112 90.9834715502 4729.975132028 13647.5207325281 56 2143.9999526889
203.8029762724 15325.1194277706 2.9024847401
113 90.9834717079 4775.4668678819 13647.5207561837 56.5 2143.9999601213
203.8029766257 15472.5126519374 2.9304001235
114 90.9834718408 4820.9586038023 13647.520776123 57 2143.9999663862
203.8029769234 15619.9058763195 2.9583155069
115 90.9834719529 4866.4503397788 13647.5207929299 57.5 2143.9999716669
203.8029771744 15767.2991008831 2.9862308903
116 90.9834720473 4911.9420758024 13647.5208070965 58 2143.999976118
203.802977386 15914.6923255998 3.0141462738
117 90.9834721269 4957.4338118659 13647.5208190375 58.5 2143.9999798698
203.8029775643 16062.0855504454 3.0420616573
118 90.983472194 5002.9255479629 13647.5208291026 59 2143.9999830322
203.8029777146 16209.4787753997 3.0699770408
119 90.9834722506 5048.4172840882 13647.5208375865 59.5 2143.9999856978
203.8029778413 16356.8720004456 3.0978924243