﻿69:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Ciencias Naturales:@0.749900:0.956142:0.879899:0.956142:0.879899:0.943479:0.749900:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8.º EGB:@0.829360:0.967458:0.879899:0.967458:0.879899:0.954794:0.829360:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.772598:0.087020:0.816241:0.087020:0.816241:0.066769:0.772598:0.066769:0.000000:0.000000:0.000000
Representación:@0.732355:0.101479:0.856482:0.101479:0.856482:0.084579:0.732355:0.084579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.772598:0.087020:0.787756:0.087020:0.787756:0.066769:0.772598:0.066769:0.000000
UA:@0.787756:0.087020:0.816241:0.087020:0.816241:0.066769:0.787756:0.066769:0.000000:0.000000
R:@0.732355:0.101479:0.742841:0.101479:0.742841:0.084579:0.732355:0.084579:0.000000
epr:@0.742896:0.101479:0.769745:0.101479:0.769745:0.084579:0.742896:0.084579:0.000000:0.000000:0.000000
esen:@0.769579:0.101479:0.806821:0.101479:0.806821:0.084579:0.769579:0.084579:0.000000:0.000000:0.000000:0.000000
tación:@0.806727:0.101479:0.856482:0.101479:0.856482:0.084579:0.806727:0.084579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Posición y movimiento de los objetos:@0.243569:0.098258:0.673958:0.098258:0.673958:0.073675:0.243569:0.073675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Imagina el instante de tensión en un estadio repleto de aficionados, donde todo  :@0.178089:0.149929:0.854179:0.149929:0.854179:0.131794:0.178089:0.131794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el partido se reduce a un solo momento: un jugador de fútbol se prepara para patear  :@0.159192:0.168035:0.873075:0.168035:0.873075:0.149899:0.159192:0.149899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el balón al arco. En este escenario, la física se convierte en el factor determinante. :@0.175295:0.186140:0.852711:0.186140:0.852711:0.168004:0.175295:0.168004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La resistencia del aire :@0.740869:0.762755:0.899492:0.762755:0.899492:0.746367:0.740869:0.746367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
afectará la velocidad y :@0.737183:0.777844:0.903178:0.777844:0.903178:0.761455:0.737183:0.761455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la trayectoria del balón :@0.734530:0.792933:0.905831:0.792933:0.905831:0.776544:0.734530:0.776544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en vuelo. A distancias :@0.739487:0.808022:0.900856:0.808022:0.900856:0.791633:0.739487:0.791633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cortas, la resistencia no :@0.733885:0.823111:0.906458:0.823111:0.906458:0.806722:0.733885:0.806722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es tan fuerte, pero a :@0.745457:0.838200:0.894902:0.838200:0.894902:0.821811:0.745457:0.821811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distancias mayores :@0.749051:0.853289:0.891292:0.853289:0.891292:0.836900:0.749051:0.836900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puede incidir en la :@0.750083:0.868378:0.890280:0.868378:0.890280:0.851989:0.750083:0.851989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
precisión y la velocidad :@0.732853:0.883466:0.907527:0.883466:0.907527:0.867078:0.732853:0.867078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
final del disparo.:@0.758688:0.898555:0.877655:0.898555:0.877655:0.882166:0.758688:0.882166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La velocidad inicial  :@0.544283:0.762769:0.690303:0.762769:0.690303:0.746380:0.544283:0.746380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con la que se patea  :@0.542127:0.777858:0.692458:0.777858:0.692458:0.761469:0.542127:0.761469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el balón determinará, :@0.535124:0.792947:0.695443:0.792947:0.695443:0.776558:0.535124:0.776558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en gran medida,  :@0.553294:0.808036:0.681311:0.808036:0.681311:0.791647:0.553294:0.791647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su velocidad a lo largo :@0.531476:0.823125:0.699092:0.823125:0.699092:0.806736:0.531476:0.806736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la trayectoria y la :@0.540450:0.838214:0.690136:0.838214:0.690136:0.821825:0.540450:0.821825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rapidez con la que llega :@0.526095:0.853303:0.704511:0.853303:0.704511:0.836914:0.526095:0.836914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al arco.:@0.587883:0.868391:0.638688:0.868391:0.638688:0.852002:0.587883:0.852002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La distancia entre el :@0.334503:0.762783:0.483912:0.762783:0.483912:0.746394:0.334503:0.746394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punto de inicio para :@0.333139:0.777872:0.485259:0.777872:0.485259:0.761483:0.333139:0.761483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
patear y el arco afecta :@0.327224:0.792961:0.491173:0.792961:0.491173:0.776572:0.327224:0.776572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la potencia necesaria :@0.330117:0.808050:0.488298:0.808050:0.488298:0.791661:0.330117:0.791661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el disparo. Una :@0.341818:0.823139:0.476596:0.823139:0.476596:0.806750:0.341818:0.806750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mayor distancia tendrá :@0.323207:0.838227:0.495227:0.838227:0.495227:0.821839:0.323207:0.821839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que potenciar una :@0.339662:0.853316:0.478752:0.853316:0.478752:0.836927:0.339662:0.836927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mayor velocidad  :@0.346223:0.868405:0.476230:0.868405:0.476230:0.852016:0.346223:0.852016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y fuerza para vencer :@0.333637:0.883494:0.484797:0.883494:0.484797:0.867105:0.333637:0.867105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al portero.:@0.369884:0.898583:0.444516:0.898583:0.444516:0.882194:0.369884:0.882194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El jugador debe :@0.144311:0.762797:0.264312:0.762797:0.264312:0.746408:0.144311:0.746408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
seleccionar :@0.161080:0.777886:0.247543:0.777886:0.247543:0.761497:0.161080:0.761497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuidadosamente el :@0.131983:0.792975:0.276638:0.792975:0.276638:0.776586:0.131983:0.776586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulo de lanzamiento :@0.117351:0.808064:0.291270:0.808064:0.291270:0.791675:0.117351:0.791675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al patear, y lograr una :@0.123985:0.823152:0.284636:0.823152:0.284636:0.806764:0.123985:0.806764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trayectoria óptima  :@0.134839:0.838241:0.277817:0.838241:0.277817:0.821852:0.134839:0.821852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que minimice las :@0.139944:0.853330:0.268679:0.853330:0.268679:0.836941:0.139944:0.836941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
posibilidades de que  :@0.126068:0.868419:0.286591:0.868419:0.286591:0.852030:0.126068:0.852030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el portero detenga  :@0.133236:0.883508:0.279421:0.883508:0.279421:0.867119:0.133236:0.867119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el balón.:@0.171179:0.898597:0.233390:0.898597:0.233390:0.882208:0.171179:0.882208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulo de :@0.147080:0.713850:0.263417:0.713850:0.263417:0.684993:0.147080:0.684993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lanzamiento:@0.132789:0.737739:0.272645:0.737739:0.272645:0.708881:0.132789:0.708881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Distancia al arco:@0.318405:0.725795:0.497762:0.725795:0.497762:0.696937:0.318405:0.696937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Velocidad inicial :@0.522560:0.713850:0.706599:0.713850:0.706599:0.684993:0.522560:0.684993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del balón:@0.560596:0.737739:0.663501:0.737739:0.663501:0.708881:0.560596:0.708881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resistencia  :@0.756635:0.713850:0.891111:0.713850:0.891111:0.684993:0.756635:0.684993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del aire:@0.777356:0.737739:0.860240:0.737739:0.860240:0.708881:0.777356:0.708881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Características:@0.428058:0.664735:0.589176:0.664735:0.589176:0.635877:0.428058:0.635877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Posición y movimiento de los objetos:@0.243569:0.098258:0.673958:0.098258:0.673958:0.073675:0.243569:0.073675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.091610:0.177667:0.091610:0.172560:0.079529:0.172560:0.079529:0.177667:0.000000
Shutterstock:@0.091610:0.172560:0.091610:0.134841:0.079700:0.134841:0.079700:0.172560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000