projectile motion - dynamics

8/11/2019 Projectile Motion - Dynamics

1/21

Motion of a Projectile Under Gravity with Air Resistance

Projectile fired at speed v at angle theta degrees to horizontal

Air resistance = bv^2.

v= 30

theta= 54 sliderg= 9.81

v_x_init= 17.63356

v_y_init= 24.27051

delta_t= 0.01

range= 10.68589

b= 0.14

time v_x v_y v x y

0 17.63356 24.27051 30 0 0

0.01 16.89295 23.15305 28.66069 0.172633 0.237118

0.02 16.21512 22.12593 27.4315 0.338173 0.463513

0.03 15.59239 21.17811 26.29895 0.49721 0.680033

0.04 15.0183 20.30026 25.25173 0.650264 0.8874250.05 14.48737 19.4845 24.28023 0.797792 1.086349

0.06 13.99491 18.72407 23.37624 0.940204 1.277391

0.07 13.5369 18.0132 22.53271 1.077863 1.461078

0.08 13.10987 17.34685 21.74355 1.211097 1.637878

0.09 12.71079 16.7207 21.00348 1.3402 1.808216

0.1 12.33703 16.13093 20.30786 1.465439 1.972474

0.11 11.98628 15.57421 19.65266 1.587056 2.131

0.12 11.65649 15.04761 19.03429 1.705269 2.284109

0.13 11.34587 14.54852 18.44961 1.820281 2.432089

0.14 11.05281 14.07464 17.89581 1.932275 2.575205

0.15 10.77589 13.62391 17.3704 2.041418 2.713698

0.16 10.51384 13.1945 16.87115 2.147867 2.847790.17 10.26551 12.78475 16.39605 2.251764 2.977686

0.18 10.02987 12.39318 15.94331 2.353241 3.103576

0.19 9.805995 12.01846 15.51131 2.45242 3.225634

0.2 9.593049 11.65937 15.09859 2.549415 3.344023

0.21 9.390271 11.31481 14.70381 2.644332 3.458894

0.22 9.196969 10.98379 14.32578 2.737268 3.570387

0.23 9.012514 10.6654 13.96339 2.828315 3.678633

0.24 8.836331 10.3588 13.61564 2.917559 3.783754

0.25 8.667894 10.06325 13.28161 3.005081 3.885864

0.26 8.50672 9.778026 12.96048 3.090954 3.98507

0.27 8.352369 9.502507 12.65147 3.175249 4.081473

0.28 8.204431 9.236098 12.35387 3.258033 4.175166

0.29 8.062532 8.978256 12.06704 3.339368 4.266238

0.3 7.926325 8.728479 11.79038 3.419312 4.354772

0.31 7.795489 8.486302 11.52332 3.497921 4.440845

0.32 7.669727 8.251295 11.26537 3.575247 4.524533

0.33 7.548764 8.02306 11.01605 3.65134 4.605905

0.34 7.432343 7.801224 10.77492 3.726245 4.685027

0.35 7.320227 7.585444 10.54157 3.800008 4.76196

0.36 7.212194 7.375396 10.31563 3.87267 4.836764


2/21

0.37 7.108036 7.170782 10.09675 3.944271 4.909495

0.38 7.007561 6.97132 9.884594 4.014849 4.980206

0.39 6.910587 6.776748 9.67887 4.08444 5.048946

0.4 6.816946 6.58682 9.47929 4.153078 5.115764

0.41 6.726478 6.401306 9.285592 4.220795 5.180704

0.42 6.639035 6.21999 9.097531 4.287623 5.243811

0.43 6.554477 6.042669 8.914876 4.35359 5.3051240.44 6.472671 5.869151 8.737415 4.418726 5.364683

0.45 6.393495 5.699258 8.564947 4.483057 5.422525

0.46 6.316831 5.532818 8.397287 4.546608 5.478686

0.47 6.242569 5.369673 8.234262 4.609405 5.533198

0.48 6.170605 5.209672 8.075707 4.671471 5.586095

0.49 6.10084 5.052672 7.921473 4.732828 5.637407

0.5 6.033182 4.898537 7.771419 4.793498 5.687163

0.51 5.967541 4.747141 7.625411 4.853502 5.735391

0.52 5.903834 4.598363 7.483328 4.912859 5.782119

0.53 5.841981 4.452087 7.345054 4.971588 5.827371

0.54 5.781908 4.308206 7.210485 5.029707 5.871172

0.55 5.723541 4.166616 7.079521 5.087235 5.9135460.56 5.666813 4.027219 6.952069 5.144187 5.954516

0.57 5.611659 3.889923 6.828046 5.200579 5.994101

0.58 5.558016 3.754638 6.707372 5.256427 6.032324

0.59 5.505824 3.621281 6.589975 5.311746 6.069204

0.6 5.455027 3.489771 6.475788 5.366551 6.104759

0.61 5.405572 3.360032 6.364748 5.420854 6.139008

0.62 5.357404 3.231992 6.256801 5.474669 6.171968

0.63 5.310476 3.105582 6.151894 5.528008 6.203656

0.64 5.264739 2.980734 6.04998 5.580884 6.234088

0.65 5.220147 2.857388 5.951016 5.633308 6.263278

0.66 5.176655 2.735481 5.854965 5.685292 6.291242

0.67 5.134223 2.614959 5.761792 5.736847 6.317995

0.68 5.092807 2.495765 5.671466 5.787982 6.343548

0.69 5.05237 2.377849 5.58396 5.838708 6.367916

0.7 5.012873 2.26116 5.499249 5.889034 6.391111

0.71 4.974279 2.145651 5.417312 5.93897 6.413145

0.72 4.936553 2.031278 5.338131 5.988524 6.43403

0.73 4.89966 1.917998 5.26169 6.037705 6.453776

0.74 4.863568 1.805769 5.187976 6.086521 6.472395

0.75 4.828243 1.694553 5.116976 6.13498 6.489897

0.76 4.793654 1.584314 5.04868 6.18309 6.506291

0.77 4.759772 1.475016 4.983082 6.230857 6.521588

0.78 4.726566 1.366626 4.920172 6.278289 6.535796

0.79 4.694009 1.259112 4.859947 6.325392 6.548925

0.8 4.662071 1.152445 4.802399 6.372172 6.5609830.81 4.630726 1.046597 4.747525 6.418636 6.571978

0.82 4.599948 0.941541 4.695319 6.464789 6.581918

0.83 4.56971 0.837251 4.645777 6.510638 6.590812

0.84 4.539989 0.733706 4.598893 6.556186 6.598667

0.85 4.510758 0.630882 4.554663 6.60144 6.60549

0.86 4.481995 0.528759 4.513077 6.646404 6.611288

0.87 4.453677 0.427318 4.47413 6.691082 6.616069

0.88 4.42578 0.326542 4.43781 6.735479 6.619838


3/21

0.89 4.398283 0.226413 4.404106 6.779599 6.622603

0.9 4.371164 0.126917 4.373006 6.823447 6.624369

0.91 4.344403 0.02804 4.344493 6.867025 6.625144

0.92 4.317979 -0.07023 4.31855 6.910336 6.624933

0.93 4.291872 -0.16791 4.295156 6.953386 6.623743

0.94 4.266064 -0.265 4.274287 6.996175 6.621578

0.95 4.240536 -0.36151 4.255918 7.038708 6.6184460.96 4.21527 -0.45746 4.24002 7.080987 6.614351

0.97 4.190248 -0.55284 4.22656 7.123015 6.609299

0.98 4.165454 -0.64767 4.215505 7.164794 6.603297

0.99 4.14087 -0.74195 4.206815 7.206325 6.596349

1 4.116482 -0.83568 4.200451 7.247612 6.58846

1.01 4.092275 -0.92886 4.196368 7.288656 6.579638

1.02 4.068233 -1.02151 4.19452 7.329458 6.569886

1.03 4.044343 -1.11361 4.194858 7.370021 6.55921

1.04 4.020592 -1.20517 4.197331 7.410346 6.547616

1.05 3.996966 -1.29619 4.201884 7.450434 6.53511

1.06 3.973453 -1.38666 4.208462 7.490286 6.521695

1.07 3.950042 -1.47659 4.217007 7.529903 6.5073791.08 3.926722 -1.56597 4.22746 7.569287 6.492166

1.09 3.903481 -1.65481 4.239758 7.608438 6.476062

1.1 3.880312 -1.74308 4.25384 7.647357 6.459073

1.11 3.857203 -1.8308 4.269643 7.686045 6.441204

1.12 3.834147 -1.91796 4.287102 7.724501 6.42246

1.13 3.811134 -2.00455 4.306153 7.762728 6.402847

1.14 3.788158 -2.09056 4.32673 7.800724 6.382372

1.15 3.765212 -2.176 4.348769 7.838491 6.361039

1.16 3.742288 -2.26085 4.372204 7.876029 6.338855

1.17 3.719381 -2.34511 4.396971 7.913337 6.315825

1.18 3.696486 -2.42878 4.423004 7.950416 6.291955

1.19 3.673596 -2.51184 4.45024 7.987267 6.267252

1.2 3.650709 -2.59429 4.478616 8.023888 6.241722

1.21 3.627818 -2.67612 4.508069 8.060281 6.21537

1.22 3.604922 -2.75733 4.538539 8.096444 6.188202

1.23 3.582017 -2.83791 4.569965 8.132379 6.160226

1.24 3.559099 -2.91785 4.602289 8.168085 6.131447

1.25 3.536167 -2.99715 4.635451 8.203561 6.101872

1.26 3.513219 -3.0758 4.669398 8.238808 6.071508

1.27 3.490252 -3.1538 4.704072 8.273825 6.04036

1.28 3.467266 -3.23113 4.739422 8.308613 6.008435

1.29 3.444261 -3.30779 4.775394 8.343171 5.97574

1.3 3.421234 -3.38377 4.811939 8.377498 5.942283

1.31 3.398186 -3.45908 4.849009 8.411595 5.908068

1.32 3.375117 -3.5337 4.886555 8.445462 5.8731041.33 3.352027 -3.60762 4.924532 8.479097 5.837398

1.34 3.328917 -3.68085 4.962896 8.512502 5.800955

1.35 3.305788 -3.75337 5.001604 8.545676 5.763784

1.36 3.28264 -3.82519 5.040617 8.578618 5.725892

1.37 3.259475 -3.8963 5.079893 8.611328 5.687284

1.38 3.236294 -3.96669 5.119395 8.643807 5.647969

1.39 3.213099 -4.03636 5.159088 8.676054 5.607954

1.4 3.189891 -4.1053 5.198936 8.708069 5.567246


4/21

1.41 3.166674 -4.17352 5.238905 8.739852 5.525851

1.42 3.143448 -4.24101 5.278964 8.771403 5.483779

1.43 3.120216 -4.30777 5.319082 8.802721 5.441035

1.44 3.096981 -4.37379 5.359229 8.833807 5.397627

1.45 3.073744 -4.43908 5.399379 8.86466 5.353563

1.46 3.050509 -4.50362 5.439503 8.895282 5.308849

1.47 3.027279 -4.56742 5.479578 8.925671 5.2634941.48 3.004055 -4.63048 5.519578 8.955827 5.217505

1.49 2.980842 -4.6928 5.55948 8.985752 5.170888

1.5 2.957641 -4.75438 5.599263 9.015444 5.123652

1.51 2.934456 -4.81521 5.638906 9.044905 5.075804

1.52 2.91129 -4.87529 5.67839 9.074133 5.027352

1.53 2.888146 -4.93464 5.717695 9.103131 4.978302

1.54 2.865027 -4.99324 5.756804 9.131896 4.928663

1.55 2.841936 -5.05109 5.795701 9.160431 4.878441

1.56 2.818877 -5.10821 5.83437 9.188735 4.827645

1.57 2.795852 -5.16458 5.872795 9.216809 4.776281

1.58 2.772865 -5.22022 5.910964 9.244653 4.724357

1.59 2.749918 -5.27512 5.948863 9.272267 4.671881.6 2.727016 -5.32929 5.98648 9.299651 4.618858

1.61 2.704161 -5.38272 6.023803 9.326807 4.565298

1.62 2.681356 -5.43543 6.060822 9.353735 4.511207

1.63 2.658604 -5.48741 6.097527 9.380434 4.456593

1.64 2.635909 -5.53867 6.133909 9.406907 4.401462

1.65 2.613273 -5.5892 6.169958 9.433153 4.345823

1.66 2.5907 -5.63902 6.205668 9.459173 4.289682

1.67 2.568192 -5.68813 6.24103 9.484967 4.233046

1.68 2.545752 -5.73653 6.276039 9.510537 4.175923

1.69 2.523384 -5.78423 6.310687 9.535883 4.118319

1.7 2.50109 -5.83123 6.34497 9.561005 4.060242

1.71 2.478873 -5.87753 6.378882 9.585905 4.001698

1.72 2.456736 -5.92314 6.412419 9.610583 3.942695

1.73 2.434681 -5.96806 6.445576 9.63504 3.883239

1.74 2.412711 -6.01231 6.478351 9.659277 3.823337

1.75 2.390828 -6.05588 6.51074 9.683295 3.762996

1.76 2.369036 -6.09878 6.54274 9.707094 3.702222

1.77 2.347336 -6.14102 6.574349 9.730676 3.641024

1.78 2.32573 -6.18259 6.605564 9.754041 3.579405

1.79 2.304223 -6.22352 6.636386 9.777191 3.517375

1.8 2.282814 -6.2638 6.666812 9.800126 3.454938

1.81 2.261507 -6.30343 6.696841 9.822848 3.392102

1.82 2.240305 -6.34243 6.726473 9.845357 3.328873

1.83 2.219207 -6.38081 6.755707 9.867654 3.265257

1.84 2.198218 -6.41856 6.784544 9.889741 3.201261.85 2.177339 -6.45569 6.812984 9.911619 3.136889

1.86 2.156571 -6.49222 6.841028 9.933289 3.072149

1.87 2.135916 -6.52814 6.868676 9.954751 3.007047

1.88 2.115377 -6.56346 6.89593 9.976008 2.941589

1.89 2.094955 -6.5982 6.92279 9.997059 2.875781

1.9 2.074651 -6.63235 6.949259 10.01791 2.809628

1.91 2.054466 -6.66592 6.975338 10.03855 2.743137

1.92 2.034404 -6.69893 7.001028 10.059 2.676313


5/21

1.93 2.014463 -6.73137 7.026333 10.07924 2.609161

1.94 1.994647 -6.76325 7.051253 10.09929 2.541688

1.95 1.974957 -6.79459 7.075793 10.11914 2.473899

1.96 1.955393 -6.82538 7.099953 10.13879 2.405799

1.97 1.935956 -6.85563 7.123738 10.15824 2.337394

1.98 1.916648 -6.88536 7.147149 10.17751 2.268689

1.99 1.89747 -6.91457 7.170189 10.19658 2.199692 1.878423 -6.94326 7.192863 10.21546 2.1304

2.01 1.859507 -6.97144 7.215172 10.23415 2.060827

2.02 1.840724 -6.99912 7.23712 10.25265 1.990974

2.03 1.822074 -7.0263 7.25871 10.27096 1.920847

2.04 1.803558 -7.053 7.279946 10.28909 1.850451

2.05 1.785176 -7.07922 7.300832 10.30703 1.77979

2.06 1.766929 -7.10496 7.32137 10.32479 1.708869

2.07 1.748818 -7.13023 7.341565 10.34237 1.637693

2.08 1.730844 -7.15505 7.361421 10.35977 1.566266

2.09 1.713006 -7.17941 7.38094 10.37699 1.494594

2.1 1.695305 -7.20332 7.400127 10.39403 1.42268

2.11 1.677741 -7.22679 7.418985 10.4109 1.350532.12 1.660315 -7.24983 7.437519 10.42759 1.278147

2.13 1.643027 -7.27244 7.455732 10.4441 1.205535

2.14 1.625877 -7.29463 7.473629 10.46045 1.1327

2.15 1.608865 -7.31641 7.491212 10.47662 1.059645

2.16 1.591992 -7.33777 7.508487 10.49263 0.986374

2.17 1.575257 -7.35874 7.525457 10.50846 0.912891

2.18 1.558661 -7.37931 7.542126 10.52413 0.839201

2.19 1.542203 -7.39949 7.558499 10.53964 0.765307

2.2 1.525884 -7.41929 7.574578 10.55498 0.691213

2.21 1.509702 -7.43872 7.590369 10.57016 0.616923

2.22 1.49366 -7.45777 7.605875 10.58517 0.542441

2.23 1.477755 -7.47646 7.6211 10.60003 0.46777

2.24 1.461988 -7.49479 7.636048 10.61473 0.392913

2.25 1.446358 -7.51276 7.650723 10.62927 0.317876

2.26 1.430866 -7.53039 7.66513 10.64366 0.24266

2.27 1.415512 -7.54768 7.679271 10.65789 0.167269

2.28 1.400293 -7.56464 7.693152 10.67197 0.091708

2.29 1.385212 -7.58126 7.706775 10.68589 0.015978

2.3 1.370266 -7.59757 7.720146 10.68589 0.015978

2.31 1.355456 -7.61355 7.733267 10.68589 0.015978

2.32 1.340781 -7.62922 7.746143 10.68589 0.015978

2.33 1.326241 -7.64459 7.758777 10.68589 0.015978

2.34 1.311835 -7.65965 7.771173 10.68589 0.015978

2.35 1.297562 -7.67441 7.783335 10.68589 0.015978

2.36 1.283423 -7.68889 7.795267 10.68589 0.0159782.37 1.269417 -7.70308 7.806972 10.68589 0.015978

2.38 1.255542 -7.71698 7.818455 10.68589 0.015978

2.39 1.241799 -7.73062 7.829718 10.68589 0.015978

2.4 1.228187 -7.74398 7.840765 10.68589 0.015978

2.41 1.214705 -7.75707 7.851601 10.68589 0.015978

2.42 1.201353 -7.7699 7.862228 10.68589 0.015978

2.43 1.18813 -7.78248 7.872649 10.68589 0.015978

2.44 1.175034 -7.7948 7.88287 10.68589 0.015978


6/21

2.45 1.162067 -7.80688 7.892892 10.68589 0.015978

2.46 1.149226 -7.81871 7.902719 10.68589 0.015978

2.47 1.136511 -7.83031 7.912355 10.68589 0.015978

2.48 1.123922 -7.84167 7.921803 10.68589 0.015978

2.49 1.111457 -7.8528 7.931066 10.68589 0.015978

2.5 1.099116 -7.86371 7.940147 10.68589 0.015978

2.51 1.086898 -7.87439 7.94905 10.68589 0.0159782.52 1.074802 -7.88486 7.957777 10.68589 0.015978

2.53 1.062828 -7.89512 7.966333 10.68589 0.015978

2.54 1.050974 -7.90516 7.974719 10.68589 0.015978

2.55 1.03924 -7.915 7.982939 10.68589 0.015978

2.56 1.027626 -7.92465 7.990996 10.68589 0.015978

2.57 1.016129 -7.93409 7.998893 10.68589 0.015978

2.58 1.00475 -7.94334 8.006633 10.68589 0.015978

2.59 0.993488 -7.9524 8.014218 10.68589 0.015978

2.6 0.982341 -7.96128 8.021652 10.68589 0.015978

2.61 0.971309 -7.96997 8.028937 10.68589 0.015978

2.62 0.960391 -7.97848 8.036076 10.68589 0.015978

2.63 0.949586 -7.98682 8.043072 10.68589 0.0159782.64 0.938893 -7.99499 8.049926 10.68589 0.015978

2.65 0.928312 -8.00298 8.056643 10.68589 0.015978

2.66 0.917841 -8.01081 8.063224 10.68589 0.015978

2.67 0.90748 -8.01848 8.069673 10.68589 0.015978

2.68 0.897228 -8.026 8.07599 10.68589 0.015978

2.69 0.887084 -8.03335 8.08218 10.68589 0.015978

2.7 0.877046 -8.04055 8.088244 10.68589 0.015978

2.71 0.867115 -8.04761 8.094185 10.68589 0.015978

2.72 0.857289 -8.05451 8.100006 10.68589 0.015978

2.73 0.847567 -8.06127 8.105707 10.68589 0.015978

2.74 0.837949 -8.06789 8.111292 10.68589 0.015978

2.75 0.828433 -8.07438 8.116763 10.68589 0.015978

2.76 0.81902 -8.08072 8.122123 10.68589 0.015978

2.77 0.809707 -8.08694 8.127372 10.68589 0.015978

2.78 0.800493 -8.09302 8.132514 10.68589 0.015978

2.79 0.791379 -8.09898 8.137551 10.68589 0.015978

2.8 0.782364 -8.10481 8.142484 10.68589 0.015978

2.81 0.773445 -8.11052 8.147315 10.68589 0.015978

2.82 0.764623 -8.11611 8.152047 10.68589 0.015978

2.83 0.755896 -8.12158 8.156682 10.68589 0.015978

2.84 0.747265 -8.12694 8.161221 10.68589 0.015978

2.85 0.738727 -8.13218 8.165666 10.68589 0.015978

2.86 0.730281 -8.13732 8.170019 10.68589 0.015978

2.87 0.721928 -8.14234 8.174282 10.68589 0.015978

2.88 0.713667 -8.14726 8.178457 10.68589 0.0159782.89 0.705495 -8.15207 8.182545 10.68589 0.015978

2.9 0.697413 -8.15679 8.186548 10.68589 0.015978

2.91 0.68942 -8.1614 8.190469 10.68589 0.015978

2.92 0.681515 -8.16592 8.194307 10.68589 0.015978

2.93 0.673697 -8.17034 8.198066 10.68589 0.015978

2.94 0.665964 -8.17466 8.201747 10.68589 0.015978

2.95 0.658318 -8.1789 8.205351 10.68589 0.015978

2.96 0.650755 -8.18304 8.208879 10.68589 0.015978


7/21

2.97 0.643276 -8.1871 8.212334 10.68589 0.015978

2.98 0.63588 -8.19107 8.215717 10.68589 0.015978

2.99 0.628567 -8.19496 8.219029 10.68589 0.015978

3 0.621334 -8.19876 8.222272 10.68589 0.015978

3.01 0.614182 -8.20248 8.225447 10.68589 0.015978

3.02 0.607109 -8.20613 8.228555 10.68589 0.015978

3.03 0.600115 -8.20969 8.231598 10.68589 0.0159783.04 0.593199 -8.21318 8.234577 10.68589 0.015978

3.05 0.58636 -8.2166 8.237494 10.68589 0.015978

3.06 0.579598 -8.21994 8.240349 10.68589 0.015978

3.07 0.572912 -8.22321 8.243144 10.68589 0.015978

3.08 0.5663 -8.22641 8.245881 10.68589 0.015978

3.09 0.559763 -8.22954 8.248559 10.68589 0.015978

3.1 0.553298 -8.23261 8.251182 10.68589 0.015978

3.11 0.546907 -8.23561 8.253749 10.68589 0.015978

3.12 0.540587 -8.23854 8.256262 10.68589 0.015978

3.13 0.534339 -8.24142 8.258721 10.68589 0.015978

3.14 0.528161 -8.24423 8.261129 10.68589 0.015978

3.15 0.522052 -8.24698 8.263486 10.68589 0.0159783.16 0.516013 -8.24967 8.265793 10.68589 0.015978

3.17 0.510041 -8.2523 8.268051 10.68589 0.015978

3.18 0.504137 -8.25488 8.270262 10.68589 0.015978

3.19 0.4983 -8.2574 8.272425 10.68589 0.015978

3.2 0.492529 -8.25987 8.274543 10.68589 0.015978

3.21 0.486824 -8.26229 8.276616 10.68589 0.015978

3.22 0.481183 -8.26465 8.278645 10.68589 0.015978

3.23 0.475606 -8.26696 8.280631 10.68589 0.015978

3.24 0.470092 -8.26922 8.282574 10.68589 0.015978

3.25 0.464641 -8.27144 8.284476 10.68589 0.015978

3.26 0.459252 -8.2736 8.286338 10.68589 0.015978

3.27 0.453924 -8.27572 8.288161 10.68589 0.015978

3.28 0.448657 -8.27779 8.289944 10.68589 0.015978

3.29 0.44345 -8.27982 8.29169 10.68589 0.015978

3.3 0.438302 -8.28181 8.293398 10.68589 0.015978

3.31 0.433213 -8.28375 8.29507 10.68589 0.015978

3.32 0.428182 -8.28565 8.296706 10.68589 0.015978

3.33 0.423209 -8.28751 8.298307 10.68589 0.015978

3.34 0.418292 -8.28933 8.299875 10.68589 0.015978

3.35 0.413432 -8.29111 8.301408 10.68589 0.015978

3.36 0.408627 -8.29285 8.302909 10.68589 0.015978

3.37 0.403877 -8.29455 8.304378 10.68589 0.015978

3.38 0.399181 -8.29622 8.305816 10.68589 0.015978

3.39 0.39454 -8.29785 8.307222 10.68589 0.015978

3.4 0.389951 -8.29944 8.308599 10.68589 0.0159783.41 0.385415 -8.301 8.309946 10.68589 0.015978

3.42 0.380931 -8.30253 8.311265 10.68589 0.015978

3.43 0.376499 -8.30402 8.312555 10.68589 0.015978

3.44 0.372117 -8.30549 8.313817 10.68589 0.015978

3.45 0.367786 -8.30691 8.315053 10.68589 0.015978

3.46 0.363505 -8.30831 8.316262 10.68589 0.015978

3.47 0.359273 -8.30968 8.317445 10.68589 0.015978

3.48 0.355089 -8.31102 8.318603 10.68589 0.015978


8/21

3.49 0.350954 -8.31233 8.319735 10.68589 0.015978

3.5 0.346866 -8.31361 8.320844 10.68589 0.015978

3.51 0.342825 -8.31486 8.321929 10.68589 0.015978

3.52 0.338831 -8.31609 8.32299 10.68589 0.015978

3.53 0.334883 -8.31729 8.324029 10.68589 0.015978

3.54 0.33098 -8.31846 8.325045 10.68589 0.015978

3.55 0.327123 -8.31961 8.326039 10.68589 0.0159783.56 0.32331 -8.32073 8.327012 10.68589 0.015978

3.57 0.319541 -8.32183 8.327964 10.68589 0.015978

3.58 0.315815 -8.32291 8.328896 10.68589 0.015978

3.59 0.312132 -8.32396 8.329808 10.68589 0.015978

3.6 0.308492 -8.32499 8.3307 10.68589 0.015978

3.61 0.304894 -8.32599 8.331572 10.68589 0.015978

3.62 0.301338 -8.32698 8.332426 10.68589 0.015978

3.63 0.297823 -8.32794 8.333262 10.68589 0.015978

3.64 0.294348 -8.32888 8.334079 10.68589 0.015978

3.65 0.290914 -8.3298 8.334879 10.68589 0.015978

3.66 0.287519 -8.3307 8.335662 10.68589 0.015978

3.67 0.284164 -8.33158 8.336428 10.68589 0.0159783.68 0.280848 -8.33245 8.337177 10.68589 0.015978

3.69 0.277569 -8.33329 8.33791 10.68589 0.015978

3.7 0.274329 -8.33411 8.338627 10.68589 0.015978

3.71 0.271127 -8.33492 8.339329 10.68589 0.015978

3.72 0.267961 -8.33571 8.340015 10.68589 0.015978

3.73 0.264833 -8.33648 8.340687 10.68589 0.015978

3.74 0.26174 -8.33724 8.341344 10.68589 0.015978

3.75 0.258684 -8.33798 8.341987 10.68589 0.015978

3.76 0.255663 -8.3387 8.342617 10.68589 0.015978

3.77 0.252677 -8.3394 8.343232 10.68589 0.015978

3.78 0.249725 -8.3401 8.343834 10.68589 0.015978

3.79 0.246808 -8.34077 8.344423 10.68589 0.015978

3.8 0.243925 -8.34143 8.345 10.68589 0.015978

3.81 0.241075 -8.34208 8.345564 10.68589 0.015978

3.82 0.238258 -8.34271 8.346116 10.68589 0.015978

3.83 0.235474 -8.34333 8.346655 10.68589 0.015978

3.84 0.232723 -8.34394 8.347183 10.68589 0.015978

3.85 0.230003 -8.34453 8.3477 10.68589 0.015978

3.86 0.227315 -8.34511 8.348206 10.68589 0.015978

3.87 0.224658 -8.34568 8.3487 10.68589 0.015978

3.88 0.222033 -8.34623 8.349184 10.68589 0.015978

3.89 0.219437 -8.34677 8.349657 10.68589 0.015978

3.9 0.216872 -8.3473 8.35012 10.68589 0.015978

3.91 0.214337 -8.34782 8.350573 10.68589 0.015978

3.92 0.211831 -8.34833 8.351016 10.68589 0.0159783.93 0.209354 -8.34883 8.35145 10.68589 0.015978

3.94 0.206907 -8.34931 8.351874 10.68589 0.015978

3.95 0.204487 -8.34979 8.352289 10.68589 0.015978

3.96 0.202096 -8.35025 8.352695 10.68589 0.015978

3.97 0.199733 -8.3507 8.353092 10.68589 0.015978

3.98 0.197397 -8.35115 8.35348 10.68589 0.015978

3.99 0.195089 -8.35158 8.35386 10.68589 0.015978

4 0.192807 -8.35201 8.354232 10.68589 0.015978


9/21

4.01 0.190552 -8.35242 8.354596 10.68589 0.015978

4.02 0.188323 -8.35283 8.354952 10.68589 0.015978

4.03 0.18612 -8.35323 8.3553 10.68589 0.015978

4.04 0.183943 -8.35362 8.35564 10.68589 0.015978

4.05 0.181792 -8.354 8.355973 10.68589 0.015978

4.06 0.179665 -8.35437 8.356299 10.68589 0.015978

4.07 0.177563 -8.35473 8.356618 10.68589 0.0159784.08 0.175486 -8.35509 8.35693 10.68589 0.015978

4.09 0.173433 -8.35544 8.357235 10.68589 0.015978

4.1 0.171403 -8.35578 8.357533 10.68589 0.015978

4.11 0.169398 -8.35611 8.357825 10.68589 0.015978

4.12 0.167416 -8.35643 8.358111 10.68589 0.015978

4.13 0.165457 -8.35675 8.35839 10.68589 0.015978

4.14 0.163521 -8.35706 8.358663 10.68589 0.015978

4.15 0.161607 -8.35737 8.358931 10.68589 0.015978

4.16 0.159716 -8.35767 8.359192 10.68589 0.015978

4.17 0.157847 -8.35796 8.359448 10.68589 0.015978

4.18 0.155999 -8.35824 8.359698 10.68589 0.015978

4.19 0.154174 -8.35852 8.359943 10.68589 0.0159784.2 0.152369 -8.35879 8.360182 10.68589 0.015978

4.21 0.150586 -8.35906 8.360416 10.68589 0.015978

4.22 0.148823 -8.35932 8.360645 10.68589 0.015978

4.23 0.147081 -8.35958 8.36087 10.68589 0.015978

4.24 0.14536 -8.35983 8.361089 10.68589 0.015978

4.25 0.143658 -8.36007 8.361303 10.68589 0.015978

4.26 0.141977 -8.36031 8.361513 10.68589 0.015978

4.27 0.140315 -8.36054 8.361718 10.68589 0.015978

4.28 0.138672 -8.36077 8.361919 10.68589 0.015978

4.29 0.137049 -8.36099 8.362115 10.68589 0.015978

4.3 0.135444 -8.36121 8.362307 10.68589 0.015978

4.31 0.133859 -8.36142 8.362495 10.68589 0.015978

4.32 0.132291 -8.36163 8.362679 10.68589 0.015978

4.33 0.130743 -8.36184 8.362858 10.68589 0.015978

4.34 0.129212 -8.36204 8.363034 10.68589 0.015978

4.35 0.127699 -8.36223 8.363206 10.68589 0.015978

4.36 0.126204 -8.36242 8.363374 10.68589 0.015978

4.37 0.124726 -8.36261 8.363539 10.68589 0.015978

4.38 0.123266 -8.36279 8.3637 10.68589 0.015978

4.39 0.121822 -8.36297 8.363857 10.68589 0.015978

4.4 0.120396 -8.36314 8.364011 10.68589 0.015978

4.41 0.118986 -8.36332 8.364162 10.68589 0.015978

4.42 0.117593 -8.36348 8.364309 10.68589 0.015978

4.43 0.116216 -8.36365 8.364453 10.68589 0.015978

4.44 0.114855 -8.36381 8.364594 10.68589 0.0159784.45 0.11351 -8.36396 8.364732 10.68589 0.015978

4.46 0.112181 -8.36411 8.364867 10.68589 0.015978

4.47 0.110867 -8.36426 8.364999 10.68589 0.015978

4.48 0.109569 -8.36441 8.365128 10.68589 0.015978

4.49 0.108285 -8.36455 8.365254 10.68589 0.015978

4.5 0.107017 -8.36469 8.365377 10.68589 0.015978

4.51 0.105764 -8.36483 8.365498 10.68589 0.015978

4.52 0.104525 -8.36496 8.365616 10.68589 0.015978


10/21

4.53 0.103301 -8.36509 8.365731 10.68589 0.015978

4.54 0.102091 -8.36522 8.365844 10.68589 0.015978

4.55 0.100895 -8.36535 8.365955 10.68589 0.015978

4.56 0.099714 -8.36547 8.366063 10.68589 0.015978

4.57 0.098546 -8.36559 8.366169 10.68589 0.015978

4.58 0.097392 -8.36571 8.366272 10.68589 0.015978

4.59 0.096251 -8.36582 8.366373 10.68589 0.0159784.6 0.095123 -8.36593 8.366472 10.68589 0.015978

4.61 0.094009 -8.36604 8.366569 10.68589 0.015978

4.62 0.092908 -8.36615 8.366663 10.68589 0.015978

4.63 0.09182 -8.36625 8.366756 10.68589 0.015978

4.64 0.090744 -8.36635 8.366847 10.68589 0.015978

4.65 0.089681 -8.36645 8.366935 10.68589 0.015978

4.66 0.088631 -8.36655 8.367022 10.68589 0.015978

4.67 0.087593 -8.36665 8.367106 10.68589 0.015978

4.68 0.086567 -8.36674 8.367189 10.68589 0.015978

4.69 0.085553 -8.36683 8.36727 10.68589 0.015978

4.7 0.08455 -8.36692 8.367349 10.68589 0.015978

4.71 0.08356 -8.36701 8.367427 10.68589 0.0159784.72 0.082581 -8.3671 8.367503 10.68589 0.015978

4.73 0.081614 -8.36718 8.367577 10.68589 0.015978

4.74 0.080658 -8.36726 8.367649 10.68589 0.015978

4.75 0.079713 -8.36734 8.36772 10.68589 0.015978

4.76 0.078779 -8.36742 8.36779 10.68589 0.015978

4.77 0.077856 -8.3675 8.367857 10.68589 0.015978

4.78 0.076944 -8.36757 8.367924 10.68589 0.015978

4.79 0.076043 -8.36764 8.367989 10.68589 0.015978

4.8 0.075152 -8.36771 8.368052 10.68589 0.015978

4.81 0.074271 -8.36778 8.368114 10.68589 0.015978

4.82 0.073401 -8.36785 8.368175 10.68589 0.015978

4.83 0.072541 -8.36792 8.368234 10.68589 0.015978

4.84 0.071691 -8.36799 8.368292 10.68589 0.015978

4.85 0.070851 -8.36805 8.368349 10.68589 0.015978


11/21

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height

distance along ground

Projectile with Air Resistance


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projectile motion - dynamics

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