| 211.6 |
|
Determining
Initial Velocity |
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| 211.8 |
|
William M Jones |
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| 212.5 |
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Average |
StdDev |
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| 213.2 |
h=90 cm or |
0.9 |
m |
218.548 |
3.436255675 |
|
v = Rsqrt(g/2h) |
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| 213.4 |
|
v= |
5.099453 |
m/s |
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| 213.6 |
|
Low |
211.6 |
delta v= |
0.080179 |
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| 213.7 |
|
High |
226 |
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| 213.8 |
|
delta R= |
14.4 |
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| 214.9 |
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| 215.4 |
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Range |
Low(>=) |
High(<) |
|
# of strikes |
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| 216.6 |
|
211.6--213 |
211.6 |
213 |
3 |
3 |
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| 216.6 |
|
213--214.4 |
213 |
214.4 |
8 |
5 |
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| 216.6 |
|
214.4--215.8 |
214.4 |
215.8 |
10 |
2 |
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| 216.7 |
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215.8--217.2 |
215.8 |
217.2 |
16 |
6 |
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| 216.8 |
|
217.2--218.6 |
217.2 |
218.6 |
22 |
6 |
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| 216.8 |
|
218.6--220 |
218.6 |
220 |
32 |
10 |
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| 217.5 |
|
220--221.4 |
220 |
221.4 |
41 |
9 |
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| 217.8 |
|
221.4--222.8 |
221.4 |
222.8 |
46 |
5 |
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| 217.8 |
|
222.8--224.2 |
222.8 |
224.2 |
47 |
1 |
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| 217.9 |
|
224.2--226 |
224.2 |
226 |
50 |
3 |
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| 218 |
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| 218 |
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| 218.6 |
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| 218.7 |
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| 218.8 |
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| 218.8 |
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| 218.8 |
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| 219 |
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| 219.3 |
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| 219.5 |
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| 219.8 |
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| 219.8 |
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| 220 |
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| 220.1 |
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| 220.2 |
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| 220.3 |
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| 220.4 |
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| 220.6 |
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| 220.7 |
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| 221.2 |
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| 221.2 |
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| 221.4 |
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| 222.1 |
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| 222.3 |
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| 222.4 |
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| 222.4 |
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| 224 |
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| 224.5 |
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| 225.5 |
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| 226 |
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| Determining
Range as a Function of Firing Angle |
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| v= |
5.0994533 |
m/s |
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h= |
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sin |
cos |
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15 |
0.935 |
m |
0.2588 |
0.9659 |
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30 |
0.97 |
m |
0.5 |
0.866 |
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45 |
0.998 |
m |
0.7071 |
0.7071 |
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60 |
1.023 |
m |
0.866 |
0.5 |
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75 |
1.036 |
m |
0.9659 |
0.2588 |
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90 |
1.043 |
m |
1 |
0 |
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| Theoretical
Range Value (m) |
|
Experimental Range Value
(cm) |
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| R= |
2.9148462 |
15 degrees |
0 Degrees |
15 Degrees |
30 Degrees |
45 Degrees |
60 Degrees |
75 Degrees |
90 Degrees |
|
| R= |
3.4251012 |
30 degrees |
211 |
285.8 |
326 |
326 |
284 |
166 |
0 |
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| R= |
3.4263427 |
45 degrees |
212 |
286.8 |
329 |
338 |
285.5 |
167.5 |
1 |
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| R= |
2.7852491 |
60 degrees |
213 |
288.3 |
333 |
338.5 |
286 |
167.5 |
2.5 |
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| R= |
1.5623275 |
75 degrees |
213.5 |
289.8 |
333.5 |
339 |
289 |
168 |
3 |
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| R= |
0 |
90 degrees |
213.5 |
290.3 |
338 |
339 |
290 |
171 |
-2 |
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| R= |
2.18548 |
0 degrees |
215 |
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| R Ave(m) |
2.18548 |
|
215.5 |
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|
216 |
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|
217 |
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|
212.5 |
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|
0 Degrees |
15 Degrees |
30 Degrees |
45 Degrees |
60 Degrees |
75 Degrees |
90 Degrees |
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|
R Min |
2.11 |
2.858 |
3.26 |
3.26 |
2.84 |
1.66 |
-0.02 |
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R Max |
2.17 |
2.903 |
3.38 |
3.39 |
2.9 |
1.71 |
0.03 |
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|
R Ave |
2.139 |
2.882 |
3.319 |
3.361 |
2.869 |
1.68 |
0.009 |
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|
R Theory |
2.18548 |
2.91485 |
3.425101215 |
3.426343 |
2.785249 |
1.562327 |
0 |
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Rtheory + delta Rtheory |
Rtheory - delta Rtheory |
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delta R= |
0.041721 |
15 degrees |
|
2.956567671 |
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2.873125 |
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delta R= |
0.072262 |
30 degrees |
|
3.497362834 |
|
3.35284 |
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delta R= |
0.083443 |
45 degrees |
|
3.509785678 |
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3.3429 |
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delta R= |
0.072262 |
60 degrees |
|
2.857510729 |
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2.712987 |
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delta R= |
0.041721 |
75 degrees |
|
1.604048969 |
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1.520606 |
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delta R= |
0 |
90 degrees |
|
0 |
|
0 |
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delta R= |
0.080179 |
0 degrees |
|
2.265659299 |
|
2.105301 |
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|
0 Degrees |
15 Degrees |
30 Degrees |
45 Degrees |
60 Degrees |
75 Degrees |
90 Degrees |
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|
R Min |
2.11 |
2.858 |
3.26 |
3.26 |
2.84 |
1.66 |
-0.02 |
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R Max |
2.17 |
2.903 |
3.38 |
3.39 |
2.9 |
1.71 |
0.03 |
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RtheoryMin |
2.105301 |
2.87312469 |
3.35284 |
3.342899721 |
2.712987 |
1.520606 |
0 |
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RtheoryMax |
2.265659 |
2.95656767 |
3.49736 |
3.509785678 |
2.857511 |
1.604049 |
0 |
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angle in Rad |
cos |
sin |
|
Range Value "R" |
Degrees |
|
|
height |
0.523599 |
0.8660254 |
0.5 |
|
3.437409 |
|
30 |
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|
0.97 |
0.541052 |
0.8571673 |
0.51504 |
|
3.45382 |
|
31 |
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0.998 |
0.558505 |
0.8480481 |
0.52992 |
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3.467932 |
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32 |
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0.984 |
0.575959 |
0.83867057 |
0.54464 |
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3.479681 |
|
33 |
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0.593412 |
0.82903757 |
0.55919 |
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3.489005 |
|
34 |
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0.610865 |
0.81915204 |
0.57358 |
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3.495845 |
|
35 |
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0.628319 |
0.80901699 |
0.58779 |
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3.500147 |
|
36 |
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0.645772 |
0.79863551 |
0.60182 |
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3.501861 |
|
37 |
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0.663225 |
0.78801075 |
0.61566 |
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3.500938 |
|
38 |
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0.680678 |
0.77714596 |
0.62932 |
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3.497335 |
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39 |
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0.698132 |
0.76604444 |
0.64279 |
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3.491014 |
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40 |
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0.715585 |
0.75470958 |
0.65606 |
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3.481939 |
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41 |
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0.733038 |
0.74314483 |
0.66913 |
|
3.470078 |
|
42 |
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0.750492 |
0.7313537 |
0.682 |
|
3.455404 |
|
43 |
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0.767945 |
0.7193398 |
0.69466 |
|
3.437895 |
|
44 |
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0.785398 |
0.70710678 |
0.70711 |
|
3.417531 |
|
45 |
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|
211 |
cm |
R Average |
|
Minimum |
|
|
212 |
cm |
213.9 |
cm |
211 |
cm |
|
|
213 |
cm |
Standard Deviation |
Maximum |
|
Range |
|
# of Strikes |
|
|
213.5 |
cm |
1.91195072 |
|
217 |
cm |
211 --212 |
2 |
2 |
|
|
213.5 |
cm |
Velocity |
|
212.1--214 |
6 |
4 |
|
|
215 |
cm |
4.991 |
m/s |
|
214.1--216 |
8 |
2 |
|
|
215.5 |
cm |
Delta V=(R1-R2) |
|
216.1--218 |
10 |
2 |
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|
216 |
cm |
0.10845333 |
m/s |
|
|
217 |
cm |
R= |
2.139 |
m |
|
|
212.5 |
cm |
Delta V R2 |
|
|
0.04461218 |
m/s |
|
|
Rtheory + delta Rtheory |
Rtheory - delta Rtheory |
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|
215.812 |
|
211.988 |
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