Physics Homework 12 Hours
iStevex
euler2.xlsSheet1
| Euler2.xls starting to insert velocity dependent forces for terminal speed and exponential solutions | all in one dimension | 9/26/14 | |||||||||
| Euler1.xls the beginning of numerical integration in Mechanics | 9/25/14 | ||||||||||
| xo | vo | g | t | dt | cc | ||||||
| 0 | 20 | -9.8 | 0 | 0.1 | 1 | ||||||
| time | velocity | distance | exact | acceleration | |||||||
| 0 | 20 | 0 | -29.8 | ||||||||
| 0.1 | 17.02 | 2 | -26.82 | ||||||||
| 0.2 | 14.338 | 3.702 | -24.138 | ||||||||
| 0.3 | 11.9242 | 5.1358 | -21.7242 | ||||||||
| 0.4 | 9.75178 | 6.32822 | -19.55178 | ||||||||
| 0.5 | 7.796602 | 7.303398 | -17.596602 | ||||||||
| 0.6 | 6.0369418 | 8.0830582 | -15.8369418 | ||||||||
| 0.7 | 4.45324762 | 8.68675238 | -14.25324762 | ||||||||
| 0.8 | 3.027922858 | 9.132077142 | -12.827922858 | ||||||||
| 0.9 | 1.7451305722 | 9.4348694278 | -11.5451305722 | ||||||||
| 1 | 0.590617515 | 9.609382485 | -10.390617515 | ||||||||
| 1.1 | -0.4484442365 | 9.6684442365 | -9.3515557635 | ||||||||
| 1.2 | -1.3835998129 | 9.6235998129 | -8.4164001871 | ||||||||
| 1.3 | -2.2252398316 | 9.4852398316 | -7.5747601684 | ||||||||
| 1.4 | -2.9827158484 | 9.2627158484 | -6.8172841516 | ||||||||
| 1.5 | -3.6644442636 | 8.9644442636 | -6.1355557364 | ||||||||
| 1.6 | -4.2779998372 | 8.5979998372 | -5.5220001628 | ||||||||
| 1.7 | -4.8301998535 | 8.1701998535 | -4.9698001465 | ||||||||
| 1.8 | -5.3271798681 | 7.6871798681 | -4.4728201319 | ||||||||
| 1.9 | -5.7744618813 | 7.1544618813 | -4.0255381187 | ||||||||
| 2 | -6.1770156932 | 6.5770156932 | -3.6229843068 | ||||||||
| 2.1 | -6.5393141239 | 5.9593141239 | -3.2606858761 | ||||||||
| 2.2 | -6.8653827115 | 5.3053827115 | -2.9346172885 | ||||||||
| 2.3 | -7.1588444403 | 4.6188444403 | -2.6411555597 | ||||||||
| 2.4 | -7.4229599963 | 3.9029599963 | -2.3770400037 | ||||||||
| 2.5 | -7.6606639967 | 3.1606639967 | -2.1393360033 | ||||||||
| 2.6 | -7.874597597 | 2.394597597 | -1.925402403 | ||||||||
| 2.7 | -8.0671378373 | 1.6071378373 | -1.7328621627 | ||||||||
| 2.8 | -8.2404240536 | 0.8004240536 | -1.5595759464 | ||||||||
| 2.9 | -8.3963816482 | -0.0236183518 | -1.4036183518 | ||||||||
| 3 | -8.5367434834 | -0.8632565166 | -1.2632565166 | ||||||||
| 3.1 | -8.6630691351 | -1.7169308649 | -1.1369308649 | ||||||||
| 3.2 | -8.7767622216 | -2.5832377784 | -1.0232377784 | ||||||||
| 3.3 | -8.8790859994 | -3.4609140006 | -0.9209140006 | ||||||||
| 3.4 | -8.9711773995 | -4.3488226005 | -0.8288226005 | ||||||||
| 3.5 | -9.0540596595 | -5.2459403405 | -0.7459403405 | ||||||||
| 3.6 | -9.1286536936 | -6.1513463064 | -0.6713463064 | ||||||||
| 3.7 | -9.1957883242 | -7.0642116758 | -0.6042116758 | ||||||||
| 3.8 | -9.2562094918 | -7.9837905082 | -0.5437905082 | ||||||||
| 3.9 | -9.3105885426 | -8.9094114574 | -0.4894114574 | ||||||||
| 4 | -9.3595296883 | -9.8404703117 | -0.4404703117 | ||||||||
| 4.1 | -9.4035767195 | -10.7764232805 | -0.3964232805 | ||||||||
| 4.2 | -9.4432190476 | -11.7167809524 | -0.3567809524 | ||||||||
| 4.3 | -9.4788971428 | -12.6611028572 | -0.3211028572 | ||||||||
| 4.4 | -9.5110074285 | -13.6089925715 | -0.2889925715 | ||||||||
| 4.5 | -9.5399066857 | -14.5600933143 | -0.2600933143 | ||||||||
| 4.6 | -9.5659160171 | -15.5140839829 | -0.2340839829 | ||||||||
| 4.7 | -9.5893244154 | -16.4706755846 | -0.2106755846 | ||||||||
| 4.8 | -9.6103919739 | -17.4296080261 | -0.1896080261 | ||||||||
| 4.9 | -9.6293527765 | -18.3906472235 | -0.1706472235 | ||||||||
| 5 | -9.6464174988 | -19.3535825012 | -0.1535825012 | ||||||||
| 5.1 | -9.6617757489 | -20.3182242511 | -0.1382242511 | ||||||||
| 5.2 | -9.675598174 | -21.284401826 | -0.124401826 | ||||||||
| 5.3 | -9.6880383566 | -22.2519616434 | -0.1119616434 | ||||||||
| 5.4 | -9.699234521 | -23.220765479 | -0.100765479 | ||||||||
| 5.5 | -9.7093110689 | -24.1906889311 | -0.0906889311 | ||||||||
| 5.6 | -9.718379962 | -25.161620038 | -0.081620038 | ||||||||
| 5.7 | -9.7265419658 | -26.1334580342 | -0.0734580342 | ||||||||
| 5.8 | -9.7338877692 | -27.1061122308 | -0.0661122308 | ||||||||
| 5.9 | -9.7404989923 | -28.0795010077 | -0.0595010077 | ||||||||
| 6 | -9.7464490931 | -29.0535509069 | -0.0535509069 | ||||||||
| 6.1 | -9.7518041838 | -30.0281958162 | -0.0481958162 | ||||||||
| 6.2 | -9.7566237654 | -31.0033762346 | -0.0433762346 | ||||||||
| 6.3 | -9.7609613888 | -31.9790386112 | -0.0390386112 | ||||||||
| 6.4 | -9.76486525 | -32.95513475 | -0.03513475 | ||||||||
| 6.5 | -9.768378725 | -33.931621275 | -0.031621275 | ||||||||
| 6.6 | -9.7715408525 | -34.9084591475 | -0.0284591475 | ||||||||
| 6.7 | -9.7743867672 | -35.8856132328 | -0.0256132328 | ||||||||
| 6.8 | -9.7769480905 | -36.8630519095 | -0.0230519095 | ||||||||
| 6.9 | -9.7792532814 | -37.8407467186 | -0.0207467186 | ||||||||
| 7 | -9.7813279533 | -38.8186720467 | -0.0186720467 | ||||||||
| 7.1 | -9.783195158 | -39.796804842 | -0.016804842 | ||||||||
| 7.2 | -9.7848756422 | -40.7751243578 | -0.0151243578 | ||||||||
| 7.3 | -9.786388078 | -41.753611922 | -0.013611922 | ||||||||
| 7.4 | -9.7877492702 | -42.7322507298 | -0.0122507298 | ||||||||
| 7.5 | -9.7889743431 | -43.7110256569 | -0.0110256569 | ||||||||
| 7.6 | -9.7900769088 | -44.6899230912 | -0.0099230912 | ||||||||
| 7.7 | -9.7910692179 | -45.6689307821 | -0.0089307821 | ||||||||
| 7.8 | -9.7919622962 | -46.6480377038 | -0.0080377038 | ||||||||
| 7.9 | -9.7927660665 | -47.6272339335 | -0.0072339335 | ||||||||
| 8 | -9.7934894599 | -48.6065105401 | -0.0065105401 | ||||||||
| 8.1 | -9.7941405139 | -49.5858594861 | -0.0058594861 | ||||||||
| 8.2 | -9.7947264625 | -50.5652735375 | -0.0052735375 | ||||||||
| 8.3 | -9.7952538163 | -51.5447461837 | -0.0047461837 | ||||||||
| 8.4 | -9.7957284346 | -52.5242715654 | -0.0042715654 | ||||||||
| 8.5 | -9.7961555912 | -53.5038444088 | -0.0038444088 | ||||||||
| 8.6 | -9.7965400321 | -54.4834599679 | -0.0034599679 | ||||||||
| 8.7 | -9.7968860288 | -55.4631139712 | -0.0031139712 | ||||||||
| 8.8 | -9.797197426 | -56.442802574 | -0.002802574 | ||||||||
| 8.9 | -9.7974776834 | -57.4225223166 | -0.0025223166 | ||||||||
| 9 | -9.797729915 | -58.402270085 | -0.002270085 | ||||||||
| 9.1 | -9.7979569235 | -59.3820430765 | -0.0020430765 | ||||||||
| 9.2 | -9.7981612312 | -60.3618387688 | -0.0018387688 | ||||||||
| 9.3 | -9.7983451081 | -61.3416548919 | -0.0016548919 | ||||||||
| 9.4 | -9.7985105973 | -62.3214894027 | -0.0014894027 | ||||||||
| 9.5 | -9.7986595375 | -63.3013404625 | -0.0013404625 | ||||||||
| 9.6 | -9.7987935838 | -64.2812064162 | -0.0012064162 | ||||||||
| 9.7 | -9.7989142254 | -65.2610857746 | -0.0010857746 | ||||||||
| 9.8 | -9.7990228029 | -66.2409771971 | -0.0009771971 | ||||||||
| 9.9 | -9.7991205226 | -67.2208794774 | -0.0008794774 | ||||||||
| 10 | -9.7992084703 | -68.2007915297 | -0.0007915297 | ||||||||
| 10.1 | -9.7992876233 | -69.1807123767 | -0.0007123767 | ||||||||
| 10.2 | -9.799358861 | -70.160641139 | -0.000641139 | ||||||||
| 10.3 | -9.7994229749 | -71.1405770251 | -0.0005770251 | ||||||||
| 10.4 | -9.7994806774 | -72.1205193226 | -0.0005193226 | ||||||||
| 10.5 | -9.7995326096 | -73.1004673904 | -0.0004673904 | ||||||||
| 10.6 | -9.7995793487 | -74.0804206513 | -0.0004206513 | ||||||||
| 10.7 | -9.7996214138 | -75.0603785862 | -0.0003785862 | ||||||||
| 10.8 | -9.7996592724 | -76.0403407276 | -0.0003407276 | ||||||||
| 10.9 | -9.7996933452 | -77.0203066548 | -0.0003066548 | ||||||||
| 11 | -9.7997240107 | -78.0002759893 | -0.0002759893 | ||||||||
| 11.1 | -9.7997516096 | -78.9802483904 | -0.0002483904 | ||||||||
| 11.2 | -9.7997764486 | -79.9602235514 | -0.0002235514 | ||||||||
| 11.3 | -9.7997988038 | -80.9402011962 | -0.0002011962 | ||||||||
| 11.4 | -9.7998189234 | -81.9201810766 | -0.0001810766 | ||||||||
| 11.5 | -9.7998370311 | -82.9001629689 | -0.0001629689 | ||||||||
| 11.6 | -9.799853328 | -83.880146672 | -0.000146672 | ||||||||
| 11.7 | -9.7998679952 | -84.8601320048 | -0.0001320048 | ||||||||
| 11.8 | -9.7998811956 | -85.8401188044 | -0.0001188044 | ||||||||
| 11.9 | -9.7998930761 | -86.8201069239 | -0.0001069239 | ||||||||
| 12 | -9.7999037685 | -87.8000962315 | -0.0000962315 | ||||||||
| 12.1 | -9.7999133916 | -88.7800866084 | -0.0000866084 | ||||||||
| 12.2 | -9.7999220525 | -89.7600779475 | -0.0000779475 | ||||||||
| 12.3 | -9.7999298472 | -90.7400701528 | -0.0000701528 | ||||||||
| 12.4 | -9.7999368625 | -91.7200631375 | -0.0000631375 | ||||||||
| 12.5 | -9.7999431762 | -92.7000568238 | -0.0000568238 | ||||||||
| 12.6 | -9.7999488586 | -93.6800511414 | -0.0000511414 | ||||||||
| 12.7 | -9.7999539728 | -94.6600460272 | -0.0000460272 | ||||||||
| 12.8 | -9.7999585755 | -95.6400414245 | -0.0000414245 | ||||||||
| 12.9 | -9.7999627179 | -96.6200372821 | -0.0000372821 | ||||||||
| 13 | -9.7999664461 | -97.6000335539 | -0.0000335539 | ||||||||
| 13.1 | -9.7999698015 | -98.5800301985 | -0.0000301985 | ||||||||
| 13.2 | -9.7999728214 | -99.5600271786 | -0.0000271786 | ||||||||
| 13.3 | -9.7999755392 | -100.5400244608 | -0.0000244608 | ||||||||
| 13.4 | -9.7999779853 | -101.5200220147 | -0.0000220147 | ||||||||
| 13.5 | -9.7999801868 | -102.5000198132 | -0.0000198132 | ||||||||
| 13.6 | -9.7999821681 | -103.4800178319 | -0.0000178319 | ||||||||
| 13.7 | -9.7999839513 | -104.4600160487 | -0.0000160487 | ||||||||
| 13.8 | -9.7999855562 | -105.4400144438 | -0.0000144438 | ||||||||
| 13.9 | -9.7999870005 | -106.4200129995 | -0.0000129995 | ||||||||
| 14 | -9.7999883005 | -107.4000116995 | -0.0000116995 | ||||||||
| 14.1 | -9.7999894704 | -108.3800105296 | -0.0000105296 | ||||||||
| 14.2 | -9.7999905234 | -109.3600094766 | -0.0000094766 | ||||||||
| 14.3 | -9.7999914711 | -110.3400085289 | -0.0000085289 | ||||||||
| 14.4 | -9.799992324 | -111.320007676 | -0.000007676 | ||||||||
| 14.5 | -9.7999930916 | -112.3000069084 | -0.0000069084 | ||||||||
| 14.6 | -9.7999937824 | -113.2800062176 | -0.0000062176 | ||||||||
| 14.7 | -9.7999944042 | -114.2600055958 | -0.0000055958 | ||||||||
| 14.8 | -9.7999949637 | -115.2400050363 | -0.0000050363 | ||||||||
| 14.9 | -9.7999954674 | -116.2200045326 | -0.0000045326 | ||||||||
| 15 | -9.7999959206 | -117.2000040794 | -0.0000040794 | ||||||||
| 15.1 | -9.7999963286 | -118.1800036714 | -0.0000036714 | ||||||||
| 15.2 | -9.7999966957 | -119.1600033043 | -0.0000033043 | ||||||||
| 15.3 | -9.7999970261 | -120.1400029739 | -0.0000029739 | ||||||||
| 15.4 | -9.7999973235 | -121.1200026765 | -0.0000026765 | ||||||||
| 15.5 | -9.7999975912 | -122.1000024088 | -0.0000024088 | ||||||||
| 15.6 | -9.7999978321 | -123.0800021679 | -0.0000021679 | ||||||||
| 15.7 | -9.7999980489 | -124.0600019511 | -0.0000019511 | ||||||||
| 15.8 | -9.799998244 | -125.040001756 | -0.000001756 | ||||||||
| 15.9 | -9.7999984196 | -126.0200015804 | -0.0000015804 | ||||||||
| 16 | -9.7999985776 | -127.0000014224 | -0.0000014224 | ||||||||
| 16.1 | -9.7999987199 | -127.9800012801 | -0.0000012801 | ||||||||
| 16.2 | -9.7999988479 | -128.9600011521 | -0.0000011521 | ||||||||
| 16.3 | -9.7999989631 | -129.9400010369 | -0.0000010369 | ||||||||
| 16.4 | -9.7999990668 | -130.9200009332 | -0.0000009332 | ||||||||
| 16.5 | -9.7999991601 | -131.9000008399 | -0.0000008399 | ||||||||
| 16.6 | -9.7999992441 | -132.8800007559 | -0.0000007559 | ||||||||
| 16.7 | -9.7999993197 | -133.8600006803 | -0.0000006803 | ||||||||
| 16.8 | -9.7999993877 | -134.8400006123 | -0.0000006123 | ||||||||
| 16.9 | -9.7999994489 | -135.8200005511 | -0.0000005511 | ||||||||
| 17 | -9.799999504 | -136.800000496 | -0.000000496 | ||||||||
| 17.1 | -9.7999995536 | -137.7800004464 | -0.0000004464 | ||||||||
| 17.2 | -9.7999995983 | -138.7600004017 | -0.0000004017 | ||||||||
| 17.3 | -9.7999996384 | -139.7400003616 | -0.0000003616 | ||||||||
| 17.4 | -9.7999996746 | -140.7200003254 | -0.0000003254 | ||||||||
| 17.5 | -9.7999997071 | -141.7000002929 | -0.0000002929 | ||||||||
| 17.6 | -9.7999997364 | -142.6800002636 | -0.0000002636 | ||||||||
| 17.7 | -9.7999997628 | -143.6600002372 | -0.0000002372 | ||||||||
| 17.8 | -9.7999997865 | -144.6400002135 | -0.0000002135 | ||||||||
| 17.9 | -9.7999998079 | -145.6200001921 | -0.0000001921 | ||||||||
| 18 | -9.7999998271 | -146.6000001729 | -0.0000001729 | ||||||||
| 18.1 | -9.7999998444 | -147.5800001556 | -0.0000001556 |
