﻿22:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Física:@0.120102:0.956142:0.159182:0.956142:0.159182:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.068512:0.114363:0.068512:0.114363:0.048260:0.070720:0.048260:0.000000:0.000000:0.000000
. Representación:@0.114363:0.067883:0.246653:0.067883:0.246653:0.050982:0.114363:0.050982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Entonces, en nuestro ejercicio la velocidad a los 5 s será::@0.287495:0.100406:0.695867:0.100406:0.695867:0.084017:0.287495:0.084017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.335313:0.117163:0.175872:0.117163:0.175872:0.101086:0.335313:0.101086:0.000000
π:@0.504739:0.117163:0.345297:0.117163:0.345297:0.101086:0.504739:0.101086:0.000000
=−:@0.299390:0.116900:0.326801:0.116900:0.326801:0.101086:0.299390:0.101086:0.000000:0.000000
⋅:@0.348695:0.116900:0.353564:0.116900:0.353564:0.101086:0.348695:0.101086:0.000000
⋅:@0.407512:0.116900:0.412381:0.116900:0.412381:0.101086:0.407512:0.101086:0.000000
⋅:@0.518121:0.116900:0.522990:0.116900:0.522990:0.101086:0.518121:0.101086:0.000000
⋅:@0.576937:0.116900:0.581806:0.116900:0.581806:0.101086:0.576937:0.101086:0.000000
v:@0.289581:0.117032:0.296657:0.117032:0.296657:0.102059:0.289581:0.102059:0.000000
Hz:@0.387964:0.117032:0.404201:0.117032:0.404201:0.102059:0.387964:0.102059:0.000000:0.000000
m sen:@0.450004:0.117032:0.487924:0.117032:0.487924:0.102059:0.450004:0.102059:0.000000:0.000000:0.000000:0.000000:0.000000
Hz:@0.557390:0.117032:0.573627:0.117032:0.573627:0.102059:0.557390:0.102059:0.000000:0.000000
s:@0.595591:0.117032:0.601388:0.117032:0.601388:0.102059:0.595591:0.102059:0.000000
2:@0.326994:0.116927:0.334718:0.116927:0.334718:0.101928:0.326994:0.101928:0.000000
2,51:@0.355859:0.116927:0.383428:0.116927:0.383428:0.101928:0.355859:0.101928:0.000000:0.000000:0.000000:0.000000
0,04:@0.415008:0.116927:0.443348:0.116927:0.443348:0.101928:0.415008:0.101928:0.000000:0.000000:0.000000:0.000000
(2:@0.491357:0.116927:0.504161:0.116927:0.504161:0.101928:0.491357:0.101928:0.000000:0.000000
2,51:@0.525302:0.116927:0.552871:0.116927:0.552871:0.101928:0.525302:0.101928:0.000000:0.000000:0.000000:0.000000
5 ):@0.583715:0.116927:0.606398:0.116927:0.606398:0.101928:0.583715:0.101928:0.000000:0.000000:0.000000
 Simplificando,:@0.287495:0.147352:0.394798:0.147352:0.394798:0.130963:0.287495:0.130963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.299371:0.163763:0.312979:0.163763:0.312979:0.147971:0.299371:0.147971:0.000000
v:@0.289576:0.163894:0.296643:0.163894:0.296643:0.148942:0.289576:0.148942:0.000000
m s:@0.348065:0.163894:0.377957:0.163894:0.377957:0.148942:0.348065:0.148942:0.000000:0.000000:0.000000
0,19:@0.314221:0.163789:0.341401:0.163789:0.341401:0.148811:0.314221:0.148811:0.000000:0.000000:0.000000:0.000000
/:@0.363212:0.163789:0.368949:0.163789:0.368949:0.148811:0.363212:0.148811:0.000000
Aceleración en el MAS:@0.287495:0.200483:0.532751:0.200483:0.532751:0.177116:0.287495:0.177116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.290419:0.372991:0.299217:0.372991:0.299217:0.356852:0.290419:0.356852:0.000000
=:@0.303144:0.372849:0.317832:0.372849:0.317832:0.355803:0.303144:0.355803:0.000000
a:@0.322590:0.372991:0.331388:0.372991:0.331388:0.356852:0.322590:0.356852:0.000000
c:@0.331206:0.375118:0.335282:0.375118:0.335282:0.365776:0.331206:0.365776:0.000000
cos:@0.338439:0.372821:0.360869:0.372821:0.360869:0.356710:0.338439:0.356710:0.000000:0.000000:0.000000
θ:@0.365452:0.373501:0.375288:0.373501:0.380603:0.357546:0.370767:0.357546:0.000000
( ):@0.360707:0.374262:0.385855:0.374262:0.385855:0.353977:0.360707:0.353977:0.000000:0.000000:0.000000
a:@0.290419:0.397904:0.299217:0.397904:0.299217:0.381765:0.290419:0.381765:0.000000
c:@0.299038:0.400031:0.303114:0.400031:0.303114:0.390690:0.299038:0.390690:0.000000
=:@0.306990:0.397763:0.321679:0.397763:0.321679:0.380716:0.306990:0.380716:0.000000
ω:@0.324203:0.398414:0.337154:0.398414:0.342469:0.382459:0.329517:0.382459:0.000000
2:@0.340031:0.389883:0.344774:0.389883:0.344774:0.380558:0.340031:0.380558:0.000000
r:@0.345673:0.397904:0.351583:0.397904:0.351583:0.381765:0.345673:0.381765:0.000000
Como el radio r constituye la amplitud A,:@0.287495:0.415600:0.586464:0.415600:0.586464:0.399211:0.287495:0.399211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ω:@0.325607:0.437485:0.337069:0.437485:0.337069:0.420571:0.325607:0.420571:0.000000
=:@0.308377:0.437209:0.322714:0.437209:0.322714:0.420571:0.308377:0.420571:0.000000
a:@0.290479:0.438643:0.299693:0.438643:0.299693:0.423410:0.290479:0.423410:0.000000
A:@0.344924:0.437347:0.355704:0.437347:0.355704:0.421594:0.344924:0.421594:0.000000
,:@0.356700:0.437236:0.359335:0.437236:0.359335:0.421456:0.356700:0.421456:0.000000
c:@0.299641:0.439639:0.304015:0.439639:0.304015:0.429615:0.299641:0.429615:0.000000
2:@0.338116:0.429747:0.343288:0.429747:0.343288:0.419705:0.338116:0.419705:0.000000
y reemplazando en a tenemos::@0.287495:0.462545:0.513380:0.462545:0.513380:0.446156:0.287495:0.446156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.291055:0.489288:0.300033:0.489288:0.300033:0.472819:0.291055:0.472819:0.000000
=:@0.303462:0.489144:0.318451:0.489144:0.318451:0.471749:0.303462:0.471749:0.000000
2:@0.337176:0.481112:0.342016:0.481112:0.342016:0.471588:0.337176:0.471588:0.000000
A:@0.343668:0.489288:0.354938:0.489288:0.354938:0.472819:0.343668:0.472819:0.000000
cos:@0.356017:0.489129:0.378904:0.489129:0.378904:0.472675:0.356017:0.472675:0.000000:0.000000:0.000000
( ):@0.378742:0.490585:0.404404:0.490585:0.404404:0.469886:0.378742:0.469886:0.000000:0.000000:0.000000
=:@0.305032:0.512797:0.320020:0.512797:0.320020:0.495403:0.305032:0.495403:0.000000
2:@0.324451:0.512783:0.332812:0.512783:0.332812:0.496328:0.324451:0.496328:0.000000
f:@0.349374:0.512942:0.353670:0.512942:0.353670:0.496473:0.349374:0.496473:0.000000
La aceleración en cualquier instante de tiempo viene dada por la ecuación:@0.287495:0.532964:0.832544:0.532964:0.832544:0.516575:0.287495:0.516575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.403608:0.554018:0.414859:0.554018:0.414859:0.536255:0.403608:0.536255:0.000000
=:@0.301718:0.554468:0.317074:0.554468:0.317074:0.536996:0.301718:0.536996:0.000000
a:@0.289046:0.555975:0.298915:0.555975:0.298915:0.539977:0.289046:0.539977:0.000000
ft:@0.417524:0.553873:0.430887:0.553873:0.430887:0.537330:0.417524:0.537330:0.000000:0.000000
  cos(2:@0.351597:0.553756:0.402424:0.553756:0.402424:0.537184:0.351597:0.537184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.431716:0.553756:0.437815:0.553756:0.437815:0.537184:0.431716:0.537184:0.000000
2:@0.346640:0.545901:0.352179:0.545901:0.352179:0.535355:0.346640:0.535355:0.000000
A:@0.349796:0.554044:0.361343:0.554044:0.361343:0.537501:0.349796:0.537501:0.000000
ω:@0.332998:0.553942:0.345276:0.553942:0.345276:0.536179:0.332998:0.536179:0.000000
–:@0.321294:0.554131:0.332051:0.554131:0.332051:0.537559:0.321294:0.537559:0.000000
Como la velocidad angular o frecuencia angular ω no tiene mucho sentido en el :@0.287495:0.579910:0.907604:0.579910:0.907604:0.563521:0.287495:0.563521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
movimiento armónico simple::@0.287495:0.596257:0.508312:0.596257:0.508312:0.579868:0.287495:0.579868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.433119:0.617798:0.441851:0.617798:0.441851:0.600841:0.433119:0.600841:0.000000
π:@0.344207:0.618065:0.355494:0.618065:0.355494:0.599890:0.344207:0.599890:0.000000
π:@0.442243:0.618065:0.453530:0.618065:0.453530:0.599890:0.442243:0.599890:0.000000
π:@0.338861:0.643136:0.350148:0.643136:0.350148:0.624961:0.338861:0.624961:0.000000
=:@0.301872:0.617768:0.317278:0.617768:0.317278:0.599890:0.301872:0.599890:0.000000
=:@0.302744:0.642839:0.318149:0.642839:0.318149:0.624961:0.302744:0.624961:0.000000
a:@0.289160:0.619309:0.299061:0.619309:0.299061:0.602940:0.289160:0.602940:0.000000
a:@0.290031:0.644380:0.299932:0.644380:0.299932:0.628011:0.290031:0.628011:0.000000
fA:@0.359058:0.617916:0.394106:0.617916:0.394106:0.600990:0.359058:0.600990:0.000000:0.000000
ft:@0.457371:0.617916:0.469331:0.617916:0.469331:0.600990:0.457371:0.600990:0.000000:0.000000
fA:@0.360859:0.642995:0.390224:0.642995:0.390224:0.626068:0.360859:0.626068:0.000000:0.000000
(2:@0.329077:0.617798:0.343551:0.617798:0.343551:0.600841:0.329077:0.600841:0.000000:0.000000
):@0.365986:0.617798:0.372104:0.617798:0.372104:0.600841:0.365986:0.600841:0.000000
cos (:@0.398044:0.617798:0.432574:0.617798:0.432574:0.600841:0.398044:0.600841:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.317532:0.617798:0.328324:0.617798:0.328324:0.600841:0.317532:0.600841:0.000000
–4:@0.317537:0.642874:0.338200:0.642876:0.338200:0.625919:0.317537:0.625918:0.000000:0.000000
π:@0.442236:0.643143:0.453522:0.643143:0.453522:0.624968:0.442236:0.624968:0.000000
ft:@0.457364:0.642995:0.469319:0.642263:0.469319:0.625337:0.457364:0.626068:0.000000:0.000000
 (2:@0.419167:0.642876:0.441859:0.642876:0.441859:0.625919:0.419167:0.625919:0.000000:0.000000:0.000000
cos:@0.394158:0.642876:0.417841:0.642876:0.417841:0.625919:0.394158:0.625919:0.000000:0.000000:0.000000
2:@0.372376:0.609760:0.377933:0.609760:0.377933:0.598969:0.372376:0.598969:0.000000
22:@0.351068:0.634821:0.374065:0.634821:0.374065:0.624031:0.351068:0.624031:0.000000:0.000000
):@0.469003:0.617014:0.475121:0.617014:0.475121:0.600058:0.469003:0.600058:0.000000
):@0.469003:0.641357:0.475121:0.641357:0.475121:0.624400:0.469003:0.624400:0.000000
2:@0.652919:0.610794:0.662850:0.610794:0.662850:0.591509:0.652919:0.591509:0.000000
π:@0.551801:0.611099:0.564638:0.611099:0.564638:0.590427:0.551801:0.590427:0.000000
π:@0.663301:0.611099:0.676137:0.611099:0.676137:0.590427:0.663301:0.590427:0.000000
π:@0.545721:0.639613:0.558558:0.639613:0.558558:0.618941:0.545721:0.618941:0.000000
=:@0.503652:0.610760:0.521173:0.610760:0.521173:0.590427:0.503652:0.590427:0.000000
=:@0.504643:0.639274:0.522164:0.639274:0.522164:0.618941:0.504643:0.618941:0.000000
a:@0.489194:0.612514:0.500454:0.612514:0.500454:0.593896:0.489194:0.593896:0.000000
a:@0.490185:0.641028:0.501445:0.641028:0.501445:0.622410:0.490185:0.622410:0.000000
fA:@0.568669:0.610930:0.608531:0.610930:0.608531:0.591678:0.568669:0.591678:0.000000:0.000000
ft:@0.680484:0.610930:0.694086:0.610930:0.694086:0.591678:0.680484:0.591678:0.000000:0.000000
fA:@0.570719:0.639443:0.604117:0.639443:0.604117:0.620192:0.570719:0.620192:0.000000:0.000000
(2:@0.534573:0.610794:0.551036:0.610794:0.551036:0.591509:0.534573:0.591509:0.000000:0.000000
):@0.576552:0.610794:0.583510:0.610794:0.583510:0.591509:0.576552:0.591509:0.000000
cos (:@0.613012:0.610794:0.652288:0.610794:0.652288:0.591509:0.613012:0.591509:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.521444:0.610794:0.533717:0.610794:0.533717:0.591509:0.521444:0.591509:0.000000
–4:@0.521444:0.639308:0.544955:0.639325:0.544955:0.620040:0.521444:0.620023:0.000000:0.000000
π:@0.663278:0.639629:0.676115:0.639629:0.676115:0.618958:0.663278:0.618958:0.000000
ft:@0.680484:0.639460:0.694091:0.638620:0.694091:0.619368:0.680484:0.620209:0.000000:0.000000
 (2:@0.637042:0.639325:0.662850:0.639325:0.662850:0.620040:0.637042:0.620040:0.000000:0.000000:0.000000
cos:@0.608598:0.639325:0.635533:0.639325:0.635533:0.620040:0.608598:0.620040:0.000000:0.000000:0.000000
2:@0.583834:0.601652:0.590154:0.601652:0.590154:0.589379:0.583834:0.589379:0.000000
22:@0.559601:0.630150:0.585756:0.630150:0.585756:0.617877:0.559601:0.617877:0.000000:0.000000
):@0.693731:0.609903:0.700690:0.609903:0.700690:0.590618:0.693731:0.590618:0.000000
):@0.693731:0.637599:0.700690:0.637599:0.700690:0.618313:0.693731:0.618313:0.000000
Entonces, en nuestro caso::@0.287495:0.666674:0.481850:0.666674:0.481850:0.650285:0.287495:0.650285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como vemos, por la expresión de la ecuación de la aceleración podemos relacionar :@0.287495:0.713619:0.907696:0.713619:0.907696:0.697230:0.287495:0.697230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la aceleración con la posición, quedando la ecuación de la siguiente manera: :@0.287495:0.729966:0.852321:0.729966:0.852321:0.713577:0.287495:0.713577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.554947:0.752852:0.564913:0.752852:0.564913:0.736375:0.554947:0.736375:0.000000
ω:@0.600410:0.751599:0.612807:0.751599:0.612807:0.733305:0.600410:0.733305:0.000000
=−:@0.570234:0.751300:0.601426:0.751300:0.601426:0.733305:0.570234:0.733305:0.000000:0.000000
x:@0.626914:0.751450:0.634647:0.751450:0.634647:0.734412:0.626914:0.734412:0.000000
2:@0.616722:0.743239:0.622315:0.743239:0.622315:0.732378:0.616722:0.732378:0.000000
Este es nuestro caso si en el tiempo t = 0,  x = 0, pero qué tal si consideramos que el :@0.287495:0.776910:0.907567:0.776910:0.907567:0.760521:0.287495:0.760521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mismo resorte se encontraba en otra posición inicial que no fuera el reposo.:@0.287495:0.793258:0.843253:0.793258:0.843253:0.776869:0.287495:0.776869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando el movimiento no parte desde el extremo, el movimiento tiene desfase. :@0.287495:0.816728:0.907689:0.816728:0.907689:0.800339:0.287495:0.800339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.903642:0.816728:0.907678:0.816728:0.907678:0.800339:0.903642:0.800339:0.000000
Un ángulo de desfase se mide en radianes. Esta medida determina su posición  :@0.287495:0.833075:0.907678:0.833075:0.907678:0.816686:0.287495:0.816686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de partida::@0.287495:0.849422:0.366087:0.849422:0.366087:0.833034:0.287495:0.833034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.337528:0.894661:0.346410:0.894661:0.346410:0.877413:0.337528:0.877413:0.000000
(2:@0.413461:0.894661:0.428177:0.894661:0.428177:0.877413:0.413461:0.877413:0.000000:0.000000
):@0.481713:0.894661:0.487937:0.894661:0.487937:0.877413:0.481713:0.877413:0.000000
x:@0.295014:0.871807:0.302829:0.871807:0.302829:0.854590:0.295014:0.854590:0.000000
A:@0.324199:0.871807:0.335982:0.871807:0.335982:0.854590:0.324199:0.854590:0.000000
2:@0.368885:0.871687:0.377768:0.871687:0.377768:0.854439:0.368885:0.854439:0.000000
):@0.430176:0.871687:0.436399:0.871687:0.436399:0.854439:0.430176:0.854439:0.000000
π:@0.378441:0.874472:0.389921:0.874472:0.389921:0.855985:0.378441:0.855985:0.000000
φ:@0.418099:0.874472:0.430104:0.874472:0.430104:0.855985:0.418099:0.855985:0.000000
π:@0.347084:0.894933:0.358564:0.894933:0.358564:0.876446:0.347084:0.876446:0.000000
π:@0.428858:0.894933:0.440338:0.894933:0.440338:0.876446:0.428858:0.876446:0.000000
φ:@0.469649:0.894933:0.481654:0.894933:0.481654:0.876446:0.469649:0.876446:0.000000
a:@0.291680:0.918723:0.301751:0.918723:0.301751:0.902072:0.291680:0.902072:0.000000
=:@0.306287:0.870961:0.319108:0.870961:0.319108:0.856082:0.306287:0.856082:0.000000
+:@0.405228:0.870961:0.418049:0.870961:0.418049:0.856082:0.405228:0.856082:0.000000
=−:@0.304626:0.894631:0.336148:0.894631:0.336148:0.876446:0.304626:0.876446:0.000000:0.000000
+:@0.457430:0.893936:0.470251:0.893936:0.470251:0.879057:0.457430:0.879057:0.000000
=:@0.304154:0.917150:0.319824:0.917150:0.319824:0.898964:0.304154:0.898964:0.000000
ft:@0.393542:0.871800:0.404877:0.871807:0.404877:0.854590:0.393542:0.854582:0.000000:0.000000
v:@0.293358:0.894777:0.301495:0.894777:0.301495:0.877560:0.293358:0.877560:0.000000
f Asen:@0.362202:0.894777:0.409514:0.894777:0.409514:0.877560:0.362202:0.877560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ft:@0.443955:0.894777:0.456016:0.894785:0.456016:0.877567:0.443955:0.877560:0.000000:0.000000
cos(:@0.337128:0.871687:0.369273:0.871687:0.369273:0.854439:0.337128:0.854439:0.000000:0.000000:0.000000:0.000000
φ:@0.473016:0.918699:0.485020:0.918699:0.485020:0.900212:0.473016:0.900212:0.000000
–4    A cos (2:@0.320606:0.918427:0.436258:0.918427:0.436258:0.901179:0.320606:0.901179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.340969:0.918699:0.352449:0.918699:0.352449:0.900212:0.340969:0.900212:0.000000
f:@0.359056:0.918548:0.363547:0.918548:0.363547:0.901330:0.359056:0.901330:0.000000
π:@0.436056:0.918699:0.447537:0.918699:0.447537:0.900212:0.436056:0.900212:0.000000
ft:@0.444113:0.918548:0.455533:0.918548:0.455533:0.901330:0.444113:0.901330:0.000000:0.000000
 +   ):@0.456540:0.918427:0.491183:0.918427:0.491183:0.901179:0.456540:0.901179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
θ:@0.536500:0.279351:0.545228:0.279351:0.545228:0.265194:0.536500:0.265194:0.000000
A:@0.537969:0.257144:0.548020:0.257144:0.548020:0.242547:0.537969:0.242547:0.000000
v:@0.566817:0.230590:0.573853:0.230590:0.573853:0.215993:0.566817:0.215993:0.000000
t:@0.573856:0.233304:0.576815:0.233304:0.576815:0.224794:0.573856:0.224794:0.000000
MC:@0.583839:0.242085:0.606019:0.242085:0.606019:0.227487:0.583839:0.227487:0.000000:0.000000
MAS:@0.561139:0.295117:0.591830:0.295117:0.591830:0.280520:0.561139:0.280520:0.000000:0.000000:0.000000
x:@0.548340:0.291069:0.555092:0.291069:0.555092:0.276472:0.548340:0.276472:0.000000
x:@0.671688:0.293118:0.678439:0.293118:0.678439:0.278521:0.671688:0.278521:0.000000
y:@0.504901:0.219478:0.511870:0.219478:0.511870:0.204881:0.504901:0.204881:0.000000
y:@0.579517:0.266728:0.586486:0.266728:0.586486:0.252130:0.579517:0.252130:0.000000
v:@0.555038:0.251767:0.562074:0.251767:0.562074:0.237170:0.555038:0.237170:0.000000
θ:@0.562633:0.239946:0.567731:0.239946:0.567731:0.231678:0.562633:0.231678:0.000000
Mira el video::@0.161831:0.144699:0.244939:0.144699:0.244939:0.129825:0.161831:0.129825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/13fsc04:@0.142247:0.162087:0.244939:0.162087:0.244939:0.146962:0.142247:0.146962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Coméntalo con la clase.:@0.094184:0.179476:0.244938:0.179476:0.244938:0.164602:0.094184:0.164602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.146889:0.111976:0.197360:0.111976:0.197360:0.095076:0.146889:0.095076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La interculturalidad :@0.115879:0.445631:0.248189:0.445631:0.248189:0.430732:0.115879:0.430732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.244521:0.445631:0.248189:0.445631:0.248189:0.430732:0.244521:0.430732:0.000000
se construye mediante  :@0.092560:0.459462:0.248189:0.459462:0.248189:0.444563:0.092560:0.444563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un esfuerzo expreso  :@0.110284:0.473292:0.248189:0.473292:0.248189:0.458393:0.110284:0.458393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y permanente y va mucho :@0.068905:0.487122:0.248188:0.487122:0.248188:0.472223:0.068905:0.472223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
más allá de la coexistencia :@0.069358:0.500953:0.248186:0.500953:0.248186:0.486054:0.069358:0.486054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o el diálogo de culturas. :@0.085792:0.514783:0.248186:0.514783:0.248186:0.499884:0.085792:0.499884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es una relación sostenida :@0.077265:0.528613:0.248188:0.528613:0.248188:0.513714:0.077265:0.513714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre ellas, supera :@0.125143:0.542444:0.248188:0.542444:0.248188:0.527545:0.125143:0.527545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
prejuicios, racismo :@0.121474:0.556274:0.248189:0.556274:0.248189:0.541375:0.121474:0.541375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.244521:0.556274:0.248189:0.556274:0.248189:0.541375:0.244521:0.541375:0.000000
y desigualdades,  bajo :@0.097703:0.570104:0.248188:0.570104:0.248188:0.555205:0.097703:0.555205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
condiciones de respeto, :@0.085624:0.583935:0.248188:0.583935:0.248188:0.569036:0.085624:0.569036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igualdad y desarrollo  :@0.105476:0.597765:0.248189:0.597765:0.248189:0.582866:0.105476:0.582866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de espacios comunes.:@0.097502:0.611595:0.244519:0.611595:0.244519:0.596696:0.097502:0.596696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las diferentes culturas  :@0.096848:0.628984:0.248189:0.628984:0.248189:0.614085:0.096848:0.614085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del Ecuador utilizan :@0.113751:0.642814:0.248189:0.642814:0.248189:0.627915:0.113751:0.627915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
instrumentos musicales :@0.086680:0.656644:0.248188:0.656644:0.248188:0.641745:0.086680:0.641745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
típicos y también otros, :@0.088991:0.670475:0.248188:0.670475:0.248188:0.655576:0.088991:0.655576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
venidos de diferentes :@0.101422:0.684305:0.248188:0.684305:0.248188:0.669406:0.101422:0.669406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
partes del mundo. :@0.122479:0.698135:0.248188:0.698135:0.248188:0.683236:0.122479:0.683236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¡Incluso en este aspecto, :@0.082039:0.711966:0.248186:0.711966:0.248186:0.697067:0.082039:0.697067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
somos producto  :@0.134240:0.725796:0.248189:0.725796:0.248189:0.710897:0.134240:0.710897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del mestizaje!:@0.153756:0.739626:0.244521:0.739626:0.244521:0.724727:0.153756:0.724727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Responde: ¿qué relación :@0.092476:0.861383:0.247534:0.861383:0.247534:0.846509:0.092476:0.846509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
existe entre la música  :@0.110066:0.875214:0.247536:0.875214:0.247536:0.860340:0.110066:0.860340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y el movimiento  :@0.143386:0.889044:0.247536:0.889044:0.247536:0.874170:0.143386:0.874170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
armónico simple?:@0.131911:0.902874:0.244521:0.902874:0.244521:0.888000:0.131911:0.888000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  Cívica:@0.155155:0.412908:0.207253:0.412908:0.207253:0.396007:0.155155:0.396007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.055610:0.840110:0.055610:0.797284:0.043699:0.797284:0.043699:0.840110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 1.9:@0.820729:0.302891:0.878535:0.302891:0.878535:0.289482:0.820729:0.289482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000