Trajectory With Drag
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ABCDEFGHIJKLMNOPQRSTUVWXY
1
g9.8Initial X Position (m)0
2
Initial Direction (degrees above horizontal)88.57973445Initial Y Position (m)3.3
3
Initial Angle (radians)1.546008017
4
Initial Speed (m/s)60.51859218
5
Initial X Velocity (m/s)1.5
6
Initial Y Velocity (m/s)60.5Time aloft (s)7.554
7
Mass (kg)0.13Max Height (m)66.72212054
8
Air Density (kg/m^3)1.27
9
Cross-sectional area (m^2)0.01Terminal Velocity (m/s)-25.86051825
10
Drag Coefficient (no units)0.3
11
Starting Time (s)0.179
12
Time Increments (s)0.01
13
Time (s)X velocity (m/s)Y Velocity (m/s)Weight (N)X Drag (N)Y Drag (N)X Net Force (N)Y Net Force (N)X Acceleration (N)Y Acceleration (N)X Position (m)Y Position (m)Change in X Velocity during time interval (m)Change in Y Velocity during time interval (m)Change in X Position during time interval (m)Change in Y Position during time interval (m)
14
0.1791.560.5-1.274-0.00428625-6.97277625-0.00428625-8.24677625-0.03297115385-63.4367403803.3-0.0003297115385-0.63436740380.014998351440.601828163
15
0.1891.49967028859.8656326-1.274-0.004284365906-6.827318005-0.004284365906-8.101318005-0.03295666081-62.317830810.014998351443.901828163-0.0003295666081-0.62317830810.014995055050.5955404344
16
0.1991.49934072259.24245429-1.274-0.004282483053-6.685918283-0.004282483053-7.959918283-0.03294217733-61.230140640.029993406494.497368597-0.0003294217733-0.61230140640.014991760110.5893630358
17
0.2091.499011358.63015288-1.274-0.004280601442-6.548427645-0.004280601442-7.822427645-0.0329277034-60.172520350.04498516665.086731633-0.000329277034-0.60172520350.014988466620.5832929028
18
0.2191.49868202358.02842768-1.274-0.004278721071-6.414703488-0.004278721071-7.688703488-0.03291323901-59.143872980.059973633225.670024536-0.0003291323901-0.59143872980.014985174570.5773270831
19
0.2291.49835289157.43698895-1.274-0.004276841938-6.284609667-0.004276841938-7.558609667-0.03289878414-58.143151290.074958807796.247351619-0.0003289878414-0.58143151290.014981883970.5714627319
20
0.2391.49802390356.85555744-1.274-0.004274964044-6.158016154-0.004274964044-7.432016154-0.0328843388-57.169355030.089940691766.818814351-0.000328843388-0.57169355030.014978594810.5656971066
21
0.2491.49769505956.28386389-1.274-0.004273087385-6.034798701-0.004273087385-7.308798701-0.03286990296-56.221528470.10491928667.384511458-0.0003286990296-0.56221528470.01497530710.5600275624
22
0.2591.4973663655.7216486-1.274-0.004271211963-5.914838544-0.004271211963-7.188838544-0.03285547664-55.298758030.11989459377.94453902-0.0003285547664-0.55298758030.014972020830.5544515481
23
0.2691.49703780655.16866102-1.274-0.004269337775-5.798022107-0.004269337775-7.072022107-0.03284105981-54.400170060.13486661458.498990568-0.0003284105981-0.54400170060.0149687360.5489666017
24
0.2791.49670939554.62465932-1.274-0.00426746482-5.684240738-0.00426746482-6.958240738-0.03282665246-53.524928750.14983535059.04795717-0.0003282665246-0.53524928750.014965452620.5435703468
25
0.2891.49638112954.08941003-1.274-0.004265593098-5.573390449-0.004265593098-6.847390449-0.0328122546-52.672234220.16480080319.591527517-0.000328122546-0.52672234220.014962170670.5382604886
26
0.2991.49605300653.56268769-1.274-0.004263722607-5.465371681-0.004263722607-6.739371681-0.0327978662-51.841320630.179762973810.12978801-0.000327978662-0.51841320630.014958890170.5330348109
27
0.3091.49572502753.04427448-1.274-0.004261853346-5.360089081-0.004261853346-6.634089081-0.03278348727-51.031454470.19472186410.66282282-0.0003278348727-0.51031454470.01495561110.5278911721
28
0.3191.49539719252.53395994-1.274-0.004259985314-5.257451284-0.004259985314-6.531451284-0.0327691178-50.241932950.209677475111.19071399-0.000327691178-0.50241932950.014952333470.5228275027
29
0.3291.49506950152.03154061-1.274-0.00425811851-5.157370721-0.00425811851-6.431370721-0.03275475777-49.472082470.224629808511.71354149-0.0003275475777-0.49472082470.014949057270.517841802
30
0.3391.49474195451.53681978-1.274-0.004256252933-5.059763427-0.004256252933-6.333763427-0.03274040718-48.721257130.239578865812.23138329-0.0003274040718-0.48721257130.014945782520.512932135
31
0.3491.4944145551.04960721-1.274-0.004254388582-4.964548866-0.004254388582-6.238548866-0.03272606601-47.988837430.254524648312.74431543-0.0003272606601-0.47988837430.014942509190.5080966303
32
0.3591.49408728950.56971884-1.274-0.004252525455-4.871649763-0.004252525455-6.145649763-0.03271173427-47.274228950.269467157513.25241206-0.0003271173427-0.47274228950.01493923730.5033334769
33
0.3691.49376017250.09697655-1.274-0.004250663553-4.780991948-0.004250663553-6.054991948-0.03269741194-46.576861140.284406394813.75574554-0.0003269741194-0.46576861140.014935966850.4986409224
34
0.3791.49343319749.63120794-1.274-0.004248802873-4.692504207-0.004248802873-5.966504207-0.03268309902-45.896186210.299342361714.25438646-0.0003268309902-0.45896186210.014932697820.4940172701
35
0.3891.49310636649.17224608-1.274-0.004246943414-4.606118139-0.004246943414-5.880118139-0.03266879549-45.231677990.314275059514.74840373-0.0003266879549-0.45231677990.014929430230.4894608769
36
0.3991.49277967948.7199293-1.274-0.004245085176-4.521768028-0.004245085176-5.795768028-0.03265450136-44.582830980.329204489715.2378646-0.0003265450136-0.44582830980.014926164060.4849701514
37
0.4091.49245313448.27410099-1.274-0.004243228158-4.439390714-0.004243228158-5.713390714-0.0326402166-43.949159340.344130653815.72283476-0.000326402166-0.43949159340.014922899320.4805435519
38
0.4191.49212673147.83460939-1.274-0.004241372358-4.358925475-0.004241372358-5.632925475-0.03262594121-43.330195960.359053553116.20337831-0.0003262594121-0.43330195960.014919636020.4761795841
39
0.4291.49180047247.40130743-1.274-0.004239517775-4.280313918-0.004239517775-5.554313918-0.03261167519-42.725491680.373973189116.67955789-0.0003261167519-0.42725491680.014916374140.4718767998
40
0.4391.49147435546.97405252-1.274-0.004237664408-4.203499867-0.004237664408-5.477499867-0.03259741852-42.134614360.388889563217.15143469-0.0003259741852-0.42134614360.014913113680.4676337944
41
0.4491.49114838146.55270637-1.274-0.004235812256-4.128429267-0.004235812256-5.402429267-0.0325831712-41.55714820.403802676917.61906849-0.000325831712-0.4155714820.014909854650.4634492063
42
0.4591.49082254946.13713489-1.274-0.004233961319-4.055050086-0.004233961319-5.329050086-0.03256893322-40.992692970.418712531618.08251769-0.0003256893322-0.40992692970.014906597050.4593217143
43
0.4691.4904968645.72720796-1.274-0.004232111595-3.983312229-0.004232111595-5.257312229-0.03255470457-40.44086330.433619128618.54183941-0.0003255470457-0.4044086330.014903340860.4552500364
44
0.4791.49017131345.32279933-1.274-0.004230263082-3.913167445-0.004230263082-5.187167445-0.03254048525-39.901288040.448522469518.99708944-0.0003254048525-0.39901288040.01490008610.4512329289
45
0.4891.48984590844.92378645-1.274-0.004228415781-3.844569252-0.004228415781-5.118569252-0.03252627524-39.373609630.463422555619.44832237-0.0003252627524-0.39373609630.014896832770.447269184
46
0.4991.48952064544.53005035-1.274-0.004226569689-3.777472857-0.004226569689-5.051472857-0.03251207453-38.857483520.478319388419.89559156-0.0003251207453-0.38857483520.014893580850.4433576293
47
0.5091.48919552544.14147552-1.274-0.004224724806-3.711835085-0.004224724806-4.985835085-0.03249788313-38.352577580.493212969220.33894919-0.0003249788313-0.38352577580.014890330350.4394971263
48
0.5191.48887054643.75794974-1.274-0.004222881131-3.647614305-0.004222881131-4.921614305-0.03248370101-37.858571580.508103299620.77844631-0.0003248370101-0.37858571580.014887081270.4356865688
49
0.5291.48854570943.37936403-1.274-0.004221038663-3.58477037-0.004221038663-4.85877037-0.03246952818-37.375156690.522990380821.21413288-0.0003246952818-0.37375156690.014883833610.4319248824
50
0.5391.48822101343.00561246-1.274-0.0042191974-3.523264549-0.0042191974-4.797264549-0.03245536462-36.902034990.537874214421.64605776-0.0003245536462-0.36902034990.014880587370.4282110228
51
0.5491.4878964642.63659211-1.274-0.004217357342-3.463059469-0.004217357342-4.737059469-0.03244121032-36.4389190.552754801822.07426879-0.0003244121032-0.364389190.014877342540.4245439751
52
0.5591.48757204842.27220292-1.274-0.004215518487-3.404119061-0.004215518487-4.678119061-0.03242706529-35.985531240.567632144322.49881276-0.0003242706529-0.35985531240.014874099120.4209227526
53
0.5691.48724777741.91234761-1.274-0.004213680835-3.3464085-0.004213680835-4.6204085-0.0324129295-35.541603850.582506243522.91973551-0.000324129295-0.35541603850.014870857120.4173463959
54
0.5791.48692364841.55693157-1.274-0.004211844385-3.289894159-0.004211844385-4.563894159-0.03239880296-35.106878150.597377100623.33708191-0.0003239880296-0.35106878150.014867616540.4138139718
55
0.5891.4865996641.20586279-1.274-0.004210009134-3.234543559-0.004210009134-4.508543559-0.03238468565-34.68110430.612244717123.75089588-0.0003238468565-0.3468110430.014864377360.4103245726
56
0.5991.48627581340.85905174-1.274-0.004208175084-3.180325318-0.004208175084-4.454325318-0.03237057757-34.264040910.627109094524.16122045-0.0003237057757-0.34264040910.01486113960.4068773154
57
0.6091.48595210740.51641133-1.274-0.004206342231-3.127209114-0.004206342231-4.401209114-0.0323564787-33.855454720.641970234124.56809777-0.000323564787-0.33855454720.014857903250.4034713406
58
0.6191.48562854240.17785679-1.274-0.004204510576-3.075165635-0.004204510576-4.349165635-0.03234238904-33.455120270.656828137324.97156911-0.0003234238904-0.33455120270.01485466830.4001058119
59
0.6291.48530511839.84330558-1.274-0.004202680117-3.024166545-0.004202680117-4.298166545-0.03232830859-33.062819570.671682805625.37167492-0.0003232830859-0.33062819570.014851434770.3967799149
60
0.6391.48498183539.51267739-1.274-0.004200850853-2.97418444-0.004200850853-4.24818444-0.03231423733-32.678341840.686534240425.76845484-0.0003231423733-0.32678341840.014848202640.3934928568
61
0.6491.48465869339.18589397-1.274-0.004199022783-2.925192815-0.004199022783-4.199192815-0.03230017525-32.301483190.70138244326.16194769-0.0003230017525-0.32301483190.014844971920.3902438655
62
0.6591.48433569138.86287914-1.274-0.004197195906-2.877166029-0.004197195906-4.151166029-0.03228612235-31.932046380.71622741526.55219156-0.0003228612235-0.31932046380.014841742610.3870321891
63
0.6691.4840128338.54355867-1.274-0.004195370221-2.830079269-0.004195370221-4.104079269-0.03227207863-31.569840530.731069157626.93922375-0.0003227207863-0.31569840530.01483851470.3838570947
64
0.6791.48369010938.22786027-1.274-0.004193545728-2.783908518-0.004193545728-4.057908518-0.03225804406-31.214680910.745907672327.32308084-0.0003225804406-0.31214680910.014835288190.3807178686
65
0.6891.48336752937.91571346-1.274-0.004191722424-2.738630528-0.004191722424-4.012630528-0.03224401865-30.866388680.760742960527.70379871-0.0003224401865-0.30866388680.014832063090.3776138152
66
0.6991.48304508937.60704957-1.274-0.00418990031-2.694222788-0.00418990031-3.968222788-0.03223000238-30.524790680.775575023528.08141253-0.0003223000238-0.30524790680.014828839390.3745442562
67
0.7091.48272278937.30180167-1.274-0.004188079383-2.650663496-0.004188079383-3.924663496-0.03221599525-30.18971920.790403862928.45595678-0.0003221599525-0.3018971920.014825617090.3715085307
68
0.7191.48240062936.99990447-1.274-0.004186259643-2.607931534-0.004186259643-3.881931534-0.03220199725-29.86101180.8052294828.82746531-0.0003220199725-0.2986101180.014822396190.3685059942
69
0.7291.48207860936.70129436-1.274-0.004184441089-2.566006439-0.004184441089-3.840006439-0.03218800838-29.538511070.820051876229.19597131-0.0003218800838-0.29538511070.014819176690.365536018
70
0.7391.48175672936.40590925-1.274-0.00418262372-2.524868384-0.00418262372-3.798868384-0.03217402861-29.222064490.834871052929.56150733-0.0003217402861-0.29222064490.014815958580.3625979892
71
0.7491.48143498836.1136886-1.274-0.004180807534-2.484498151-0.004180807534-3.758498151-0.03216005796-28.911524240.849687011529.92410531-0.0003216005796-0.28911524240.014812741880.3596913098
72
0.7591.48111338835.82457336-1.274-0.004178992532-2.444877107-0.004178992532-3.718877107-0.0321460964-28.606746980.864499753330.28379662-0.000321460964-0.28606746980.014809526570.3568153962
73
0.7691.48079192735.53850589-1.274-0.004177178711-2.405987188-0.004177178711-3.679987188-0.03213214393-28.307593760.879309279930.64061202-0.0003213214393-0.28307593760.014806312660.3539696792
74
0.7791.48047060535.25542995-1.274-0.004175366071-2.367810875-0.004175366071-3.641810875-0.03211820054-28.01392980.894115592630.9945817-0.0003211820054-0.2801392980.014803100140.351153603
75
0.7891.48014942334.97529065-1.274-0.00417355461-2.330331172-0.00417355461-3.604331172-0.03210426623-27.72562440.908918692731.3457353-0.0003210426623-0.2772562440.014799889020.3483666253
76
0.7991.47982838134.69803441-1.274-0.004171744329-2.293531592-0.004171744329-3.567531592-0.03209034099-27.442550710.923718581731.69410193-0.0003209034099-0.27442550710.014796679290.3456082166
77
0.8091.47950747734.4236089-1.274-0.004169935224-2.257396139-0.004169935224-3.531396139-0.0320764248-27.164585680.93851526132.03971014-0.000320764248-0.27164585680.014793470950.3428778597
78
0.8191.47918671334.15196304-1.274-0.004168127297-2.221909285-0.004168127297-3.495909285-0.03206251767-26.891609880.95330873232.382588-0.0003206251767-0.26891609880.0147902640.34017505
79
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80
0.8391.47854560233.61681187-1.274-0.004164514968-2.152821527-0.004164514968-3.426821527-0.03203473052-26.360165590.982886054433.06026235-0.0003203473052-0.26360165590.014783854280.3348501104
81
0.8491.47822525433.35321022-1.274-0.004162710564-2.119191783-0.004162710564-3.393191783-0.03202085049-26.101475260.997669908733.39511246-0.0003202085049-0.26101475260.01478065150.3322270284
82
0.8591.47790504633.09219546-1.274-0.004160907333-2.086152928-0.004160907333-3.360152928-0.03200697948-25.847330221.0124505633.72733949-0.0003200697948-0.25847330220.014777450110.3296295881
83
0.8691.47758497632.83372216-1.274-0.004159105273-2.053691557-0.004159105273-3.327691557-0.03199311748-25.597627361.0272280134.05696908-0.0003199311748-0.25597627360.01477425010.3270573402
84
0.8791.47726504532.57774589-1.274-0.004157304384-2.021794649-0.004157304384-3.295794649-0.03197926449-25.352266531.0420022634.38402642-0.0003197926449-0.25352266530.014771051480.3245098456
85
0.8891.47694525232.32422322-1.274-0.004155504664-1.99044955-0.004155504664-3.26444955-0.03196542049-25.111150391.05677331234.70853626-0.0003196542049-0.25111150390.014767854250.3219866747
86
0.8991.47662559832.07311172-1.274-0.004153706113-1.959643964-0.004153706113-3.233643964-0.03195158548-24.874184341.07154116635.03052294-0.0003195158548-0.24874184340.01476465840.319487408
87
0.9091.47630608231.82436988-1.274-0.004151908729-1.929365937-0.004151908729-3.203365937-0.03193775946-24.641276441.08630582535.35001034-0.0003193775946-0.24641276440.014761463930.3170116349
88
0.9191.47598670431.57795711-1.274-0.004150112512-1.89960385-0.004150112512-3.17360385-0.0319239424-24.412337311.10106728835.66702198-0.000319239424-0.24412337310.014758270850.3145589542
89
0.9291.47566746531.33383374-1.274-0.00414831746-1.870346405-0.00414831746-3.144346405-0.03191013431-24.187280041.11582555935.98158093-0.0003191013431-0.24187280040.014755079140.3121289734
90
0.9391.47534836431.09196094-1.274-0.004146523573-1.841582617-0.004146523573-3.115582617-0.03189633518-23.966020131.13058063836.29370991-0.0003189633518-0.23966020130.014751888820.3097213084
91
0.9491.475029430.85230074-1.274-0.004144730849-1.813301798-0.004144730849-3.087301798-0.03188254499-23.748475371.14533252736.60343121-0.0003188254499-0.23748475370.014748699880.3073355836
92
0.9591.47471057530.61481598-1.274-0.004142939288-1.785493554-0.004142939288-3.059493554-0.03186876375-23.53456581.16008122736.9107668-0.0003186876375-0.2353456580.014745512310.3049714315
93
0.9691.47439188730.37947032-1.274-0.004141148888-1.758147774-0.004141148888-3.032147774-0.03185499145-23.324213641.17482673937.21573823-0.0003185499145-0.23324213640.014742326120.3026284926
94
0.9791.47407333730.14622819-1.274-0.004139359648-1.731254616-0.004139359648-3.005254616-0.03184122806-23.11734321.18956906637.51836672-0.0003184122806-0.2311734320.014739141310.3003064147
95
0.9891.47375492529.91505476-1.274-0.004137571568-1.704804505-0.004137571568-2.978804505-0.0318274736-22.91388081.20430820737.81867314-0.000318274736-0.2291388080.014735957880.2980048535
96
0.9991.4734366529.68591595-1.274-0.004135784647-1.678788119-0.004135784647-2.952788119-0.03181372805-22.713754761.21904416538.11667799-0.0003181372805-0.22713754760.014732775820.2957234717
97
1.0091.47311851329.4587784-1.274-0.004133998882-1.653196385-0.004133998882-2.927196385-0.0317999914-22.516895271.23377694138.41240146-0.000317999914-0.22516895270.014729595130.2934619392
98
1.0191.47280051329.23360945-1.274-0.004132214275-1.62802047-0.004132214275-2.90202047-0.03178626365-22.323234391.24850653638.7058634-0.0003178626365-0.22323234390.014726415820.2912199328
99
1.0291.47248265129.0103771-1.274-0.004130430822-1.603251771-0.004130430822-2.877251771-0.03177254479-22.132705931.26323295238.99708333-0.0003177254479-0.22132705930.014723237880.2889971357
100
1.0391.47216492528.78905004-1.274-0.004128648524-1.578881912-0.004128648524-2.852881912-0.0317588348-21.945245471.27795618939.28608047-0.000317588348-0.21945245470.014720061310.2867932382
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