135:@0.918240:0.967835:0.943652:0.967835:0.943652:0.951847:0.918240:0.951847:0.000000:0.000000:0.000000
Ejercicio resuelto :@0.108233:0.096570:0.230527:0.096570:0.230527:0.079783:0.108233:0.079783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En física se estudia el movimiento rectilíneo uniforme y variado :@0.108233:0.120674:0.599977:0.120674:0.599977:0.104176:0.108233:0.104176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.595760:0.120674:0.599902:0.120674:0.599902:0.104176:0.595760:0.104176:0.000000
de cuerpos. Se obtienen dos ecuaciones elementales que relacionan :@0.108233:0.138025:0.599877:0.138025:0.599877:0.121527:0.108233:0.121527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el desplazamiento (posición)   en términos de la velocidad inicial  :@0.108233:0.155375:0.599902:0.155375:0.599902:0.138878:0.108233:0.138878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.325986:0.155491:0.333461:0.155491:0.333461:0.139022:0.325986:0.139022:0.000000
v:@0.108233:0.172842:0.116016:0.172842:0.116016:0.156373:0.108233:0.156373:0.000000
0:@0.116016:0.175397:0.120539:0.175397:0.120539:0.166616:0.116016:0.166616:0.000000
, la aceleración   y el tiempo  . Así::@0.121565:0.172726:0.365054:0.172726:0.365054:0.156228:0.121565:0.156228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.230257:0.172842:0.239235:0.172842:0.239235:0.156373:0.230257:0.156373:0.000000
t:@0.327526:0.172842:0.333190:0.172842:0.333190:0.156373:0.327526:0.156373:0.000000
=:@0.133663:0.198686:0.144063:0.198686:0.144063:0.182677:0.133663:0.182677:0.000000
=:@0.133663:0.221748:0.144063:0.221748:0.144063:0.205738:0.133663:0.205738:0.000000
+:@0.169277:0.221748:0.179678:0.221748:0.179678:0.205738:0.169277:0.205738:0.000000
xvt:@0.122032:0.198175:0.160298:0.198175:0.160298:0.181981:0.122032:0.181981:0.000000:0.000000:0.000000
xv t:@0.122032:0.221236:0.166303:0.221236:0.166303:0.205042:0.122032:0.205042:0.000000:0.000000:0.000000:0.000000
at:@0.192503:0.221236:0.206710:0.221236:0.206710:0.205042:0.192503:0.205042:0.000000:0.000000
o:@0.155490:0.223374:0.160380:0.223374:0.160380:0.214001:0.155490:0.214001:0.000000
,movimientorectilíneo uniforme (velocidad constante),:@0.162079:0.198061:0.547281:0.198061:0.547281:0.181838:0.162079:0.181838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,movimientorectilíneo variado(aceleraciónconstante).:@0.215841:0.221122:0.598998:0.221122:0.598998:0.204900:0.215841:0.204900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.184369:0.214499:0.189205:0.214499:0.189205:0.205110:0.184369:0.205110:0.000000
2:@0.184007:0.223346:0.188843:0.223346:0.188843:0.213956:0.184007:0.213956:0.000000
2:@0.207735:0.213224:0.212571:0.213224:0.212571:0.203834:0.207735:0.203834:0.000000
En una avenida, el auto 1 se mueve con velocidad constante de veinte :@0.108233:0.254051:0.599956:0.254051:0.599956:0.237553:0.108233:0.237553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
metros por segundo, lo cual se escribe 20 m/s (72 km/h). La persona :@0.108233:0.271402:0.599857:0.271402:0.599857:0.254904:0.108233:0.254904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que conduce observa en un panel una advertencia de entrada y salida :@0.108233:0.288752:0.599932:0.288752:0.599932:0.272255:0.108233:0.272255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de autos. El auto 2 ingresa a la avenida con una velocidad inicial  = :@0.108233:0.306103:0.599909:0.306103:0.599909:0.289605:0.108233:0.289605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.571695:0.306219:0.579479:0.306219:0.579479:0.289750:0.571695:0.289750:0.000000
0:@0.579413:0.308776:0.583935:0.308776:0.583935:0.299994:0.579413:0.299994:0.000000
2 m/s, una aceleración de 1m/s . Al instante en que el auto 2 ingresa :@0.108241:0.323454:0.599903:0.323454:0.599903:0.306956:0.108241:0.306956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.331191:0.317102:0.336144:0.317102:0.336144:0.307484:0.331191:0.307484:0.000000
a la avenida, el auto 1 se encuentra a 60 m a la izquierda del ingreso.  :@0.108236:0.340805:0.599905:0.340805:0.599905:0.324307:0.108236:0.324307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para mejor comprensión: ¿Se produce un choque por alcance? :@0.108236:0.358155:0.554377:0.358155:0.554377:0.341658:0.108236:0.341658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para saber si existe o no choque, denotamos con   la posición de los au-:@0.108236:0.530304:0.595817:0.530304:0.595817:0.513806:0.108236:0.513806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.443277:0.530419:0.450752:0.530419:0.450752:0.513951:0.443277:0.513951:0.000000
tos   segundos más tarde. Con la información suministrada, obtenemos  :@0.108236:0.547655:0.599905:0.547655:0.599905:0.531157:0.108236:0.531157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.132125:0.547770:0.137789:0.547770:0.137789:0.531301:0.132125:0.531301:0.000000
el par de ecuaciones:  :@0.108236:0.579493:0.263611:0.579493:0.263611:0.562995:0.108236:0.562995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.271433:0.566397:0.278908:0.566397:0.278908:0.549928:0.271433:0.549928:0.000000
t:@0.358127:0.566397:0.363791:0.566397:0.363791:0.549928:0.358127:0.549928:0.000000
x:@0.271433:0.589853:0.278908:0.589853:0.278908:0.573385:0.271433:0.573385:0.000000
t:@0.306246:0.589853:0.311910:0.589853:0.311910:0.573385:0.306246:0.573385:0.000000
t:@0.350324:0.589853:0.355988:0.589853:0.355988:0.573385:0.350324:0.573385:0.000000
60 20 ,(auto 1),:@0.308345:0.566285:0.432876:0.566285:0.432876:0.549788:0.308345:0.549788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.297518:0.589738:0.306014:0.589738:0.306014:0.573240:0.297518:0.573240:0.000000
0,5 ,(auto 2),:@0.328458:0.589738:0.432529:0.589738:0.432529:0.573240:0.328458:0.573240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.357028:0.581702:0.361945:0.581702:0.361945:0.572153:0.357028:0.572153:0.000000
=−:@0.283264:0.566918:0.308501:0.566918:0.308501:0.550637:0.283264:0.550637:0.000000:0.000000
+:@0.327863:0.566918:0.338439:0.566918:0.338439:0.550637:0.327863:0.550637:0.000000
=:@0.283264:0.590370:0.293840:0.590370:0.293840:0.574089:0.283264:0.574089:0.000000
+:@0.314936:0.590370:0.325512:0.590370:0.325512:0.574089:0.314936:0.574089:0.000000
donde   y   son las incógnitas. :@0.108239:0.611090:0.324933:0.611090:0.324933:0.594592:0.108239:0.594592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x t:@0.159273:0.611205:0.188517:0.611205:0.188517:0.594737:0.159273:0.594737:0.000000:0.000000:0.000000
Graficamos las dos ecuaciones.:@0.364987:0.635569:0.584483:0.635575:0.584483:0.619077:0.364987:0.619071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conclusión:@0.364978:0.660271:0.445852:0.660271:0.445852:0.643556:0.364978:0.643556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: ¡Sí se produce un  :@0.445565:0.660054:0.599899:0.660054:0.599899:0.643556:0.445565:0.643556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
accidente!:@0.364978:0.677404:0.433811:0.677404:0.433811:0.660907:0.364978:0.660907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 La solución de este problema nos :@0.364978:0.701883:0.599932:0.701883:0.599932:0.685386:0.364978:0.685386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
muestra varias reflexiones. En un :@0.364978:0.719234:0.599895:0.719234:0.599895:0.702737:0.364978:0.702737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiempo aproximado de 3,72 se-:@0.364978:0.736585:0.595736:0.736585:0.595736:0.720087:0.364978:0.720087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gundos, se produce el accidente :@0.364978:0.753936:0.599934:0.753936:0.599934:0.737438:0.364978:0.737438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por impericia y descuido de los :@0.364978:0.771287:0.599914:0.771287:0.599914:0.754789:0.364978:0.754789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos conductores de los autos. El :@0.364978:0.788637:0.599876:0.788637:0.599876:0.772140:0.364978:0.772140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conductor del auto 1 no toma en :@0.364978:0.805988:0.599878:0.805988:0.599878:0.789490:0.364978:0.789490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
consideración la advertencia y al :@0.364978:0.823339:0.599897:0.823339:0.599897:0.806841:0.364978:0.806841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
observar el ingreso del auto 2, no reduce la velocidad. El conductor del :@0.108230:0.840690:0.599833:0.840690:0.599833:0.824192:0.108230:0.824192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
auto 2 desestima la posición y velocidad del auto 1, y comete la impru-:@0.108230:0.858040:0.595771:0.858040:0.595771:0.841543:0.108230:0.841543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dencia de ingresar a la avenida. En lo sucesivo, toma en consideración las :@0.108230:0.875391:0.599932:0.875391:0.599932:0.858893:0.108230:0.858893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
advertencias en las vías, las velocidades, tiempos y distancias. Este ejem-:@0.108230:0.892742:0.595786:0.892742:0.595786:0.876244:0.108230:0.876244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
plo nos muestra cómo la matemática ayuda a comprender esta clase :@0.108230:0.910093:0.599891:0.910093:0.599891:0.893595:0.108230:0.893595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de riesgos y a tomar precauciones en las vías. Ten presente que en 3 s el :@0.108230:0.927443:0.600011:0.927443:0.600011:0.910946:0.108230:0.910946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
auto 1 recorre 60 m.:@0.108230:0.944794:0.245071:0.944794:0.245071:0.928296:0.108230:0.928296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Auto 1:@0.112631:0.420829:0.141157:0.420829:0.141157:0.410973:0.112631:0.410973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Auto 2:@0.412267:0.420931:0.440793:0.420931:0.440793:0.411075:0.412267:0.411075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Carril derecho:@0.265724:0.429895:0.325117:0.429895:0.325117:0.420039:0.265724:0.420039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Entrada:@0.385302:0.478945:0.419133:0.478945:0.419133:0.469089:0.385302:0.469089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Instante inicial:@0.506317:0.455362:0.568052:0.455362:0.568052:0.445507:0.506317:0.445507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Instante inicial:@0.136802:0.455362:0.198526:0.455362:0.198526:0.445507:0.136802:0.445507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia digital:@0.684804:0.106800:0.827156:0.106800:0.827156:0.091327:0.684804:0.091327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Visita:@0.685042:0.135849:0.725004:0.135849:0.725004:0.120377:0.685042:0.120377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el siguiente enlace :@0.725006:0.135427:0.849489:0.135427:0.849489:0.120364:0.725006:0.120364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para que puedas practicar este :@0.638498:0.151269:0.840886:0.151269:0.840886:0.136206:0.638498:0.136206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tema: :@0.638498:0.167111:0.678340:0.167111:0.678340:0.152048:0.638498:0.152048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/11m08:@0.678340:0.167441:0.776226:0.167441:0.776226:0.152127:0.678340:0.152127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B = (3,72; 14,34):@0.259717:0.704823:0.306767:0.704823:0.306767:0.697980:0.259717:0.697980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.262407:0.802531:0.265538:0.802531:0.265538:0.796372:0.262407:0.796372:0.000000
0:@0.224479:0.802531:0.227610:0.802531:0.227610:0.796372:0.224479:0.796372:0.000000
–5:@0.171482:0.802531:0.178373:0.802531:0.178373:0.796372:0.171482:0.796372:0.000000:0.000000
–10:@0.125391:0.802531:0.135413:0.802531:0.135413:0.796372:0.125391:0.796372:0.000000:0.000000:0.000000
10:@0.305367:0.802531:0.311630:0.802531:0.311630:0.796372:0.305367:0.796372:0.000000:0.000000
5:@0.209297:0.764092:0.212428:0.764092:0.212428:0.757933:0.209297:0.757933:0.000000
10:@0.207735:0.730677:0.213997:0.730677:0.213997:0.724518:0.207735:0.724518:0.000000:0.000000
15:@0.207735:0.697262:0.213997:0.697262:0.213997:0.691104:0.207735:0.691104:0.000000:0.000000
20:@0.207735:0.663847:0.213997:0.663847:0.213997:0.657689:0.207735:0.657689:0.000000:0.000000
0:@0.207989:0.792319:0.211120:0.792319:0.211120:0.786160:0.207989:0.786160:0.000000
c:@0.199825:0.793921:0.202525:0.793921:0.202525:0.787762:0.199825:0.787762:0.000000
x:@0.331150:0.799849:0.333999:0.799849:0.333999:0.793690:0.331150:0.793690:0.000000
y:@0.209394:0.633045:0.212334:0.633045:0.212334:0.626886:0.209394:0.626886:0.000000
Toma en cuenta que::@0.690865:0.234116:0.794755:0.234116:0.794755:0.222639:0.690865:0.222639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si son parábolas secantes,  :@0.680157:0.246186:0.811238:0.246186:0.811238:0.234709:0.680157:0.234709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el sistema tiene dos soluciones.:@0.666379:0.258256:0.819239:0.258256:0.819239:0.246779:0.666379:0.246779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.736140:0.412602:0.739278:0.412602:0.739278:0.406430:0.736140:0.406430:0.000000
4:@0.736140:0.395857:0.739278:0.395857:0.739278:0.389685:0.736140:0.389685:0.000000
6:@0.736140:0.379111:0.739278:0.379111:0.739278:0.372939:0.736140:0.372939:0.000000
8:@0.736140:0.362365:0.739278:0.362365:0.739278:0.356193:0.736140:0.356193:0.000000
10:@0.734574:0.345619:0.740850:0.345619:0.740850:0.339447:0.734574:0.339447:0.000000:0.000000
12:@0.734574:0.328873:0.740850:0.328873:0.740850:0.322701:0.734574:0.322701:0.000000:0.000000
14:@0.734574:0.312128:0.740850:0.312128:0.740850:0.305956:0.734574:0.305956:0.000000:0.000000
16:@0.734574:0.295382:0.740850:0.295382:0.740850:0.289210:0.734574:0.289210:0.000000:0.000000
18:@0.734574:0.278636:0.740850:0.278636:0.740850:0.272464:0.734574:0.272464:0.000000:0.000000
2:@0.763552:0.438592:0.766690:0.438592:0.766690:0.432420:0.763552:0.432420:0.000000
–2:@0.717050:0.438592:0.723956:0.438592:0.723956:0.432420:0.717050:0.432420:0.000000:0.000000
–4:@0.694738:0.438592:0.701644:0.438592:0.701644:0.432420:0.694738:0.432420:0.000000:0.000000
–6:@0.672426:0.438592:0.679332:0.438592:0.679332:0.432420:0.672426:0.432420:0.000000:0.000000
4:@0.785857:0.438592:0.788995:0.438592:0.788995:0.432420:0.785857:0.432420:0.000000
6:@0.808169:0.438592:0.811307:0.438592:0.811307:0.432420:0.808169:0.432420:0.000000
x:@0.827967:0.436524:0.830821:0.436524:0.830821:0.430352:0.827967:0.430352:0.000000
y:@0.735445:0.267386:0.738392:0.267386:0.738392:0.261214:0.735445:0.261214:0.000000
y = x²:@0.767724:0.408173:0.782846:0.408173:0.782846:0.402001:0.767724:0.402001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y = –x  - 14:@0.794711:0.309139:0.824768:0.309135:0.824768:0.302963:0.794711:0.302967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.811520:0.306742:0.813350:0.306742:0.813350:0.303144:0.811520:0.303144:0.000000
(–3, 9):@0.682639:0.358209:0.699908:0.358209:0.699908:0.352037:0.682639:0.352037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(3, 9):@0.783094:0.355487:0.796595:0.355487:0.796595:0.349315:0.783094:0.349315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si son parábolas tangentes,:@0.676292:0.490805:0.809330:0.490805:0.809330:0.479328:0.676292:0.479328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el sistema tiene una solución.:@0.669618:0.502875:0.816005:0.502875:0.816005:0.491398:0.669618:0.491398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–2:@0.732287:0.641357:0.739193:0.641357:0.739193:0.635185:0.732287:0.635185:0.000000:0.000000
–3:@0.732287:0.658103:0.739193:0.658103:0.739193:0.651931:0.732287:0.651931:0.000000:0.000000
–4:@0.732287:0.674849:0.739193:0.674849:0.739193:0.668677:0.732287:0.668677:0.000000:0.000000
–5:@0.732287:0.691596:0.739193:0.691596:0.739193:0.685423:0.732287:0.685423:0.000000:0.000000
–1:@0.732287:0.624621:0.739193:0.624621:0.739193:0.618449:0.732287:0.618449:0.000000:0.000000
0:@0.736140:0.607875:0.739278:0.607875:0.739278:0.601703:0.736140:0.601703:0.000000
1:@0.736140:0.591129:0.739278:0.591129:0.739278:0.584957:0.736140:0.584957:0.000000
2:@0.736140:0.574383:0.739278:0.574383:0.739278:0.568211:0.736140:0.568211:0.000000
3:@0.736140:0.557637:0.739278:0.557637:0.739278:0.551465:0.736140:0.551465:0.000000
4:@0.736140:0.540891:0.739278:0.540891:0.739278:0.534718:0.736140:0.534718:0.000000
5:@0.736140:0.524144:0.739278:0.524144:0.739278:0.517972:0.736140:0.517972:0.000000
1:@0.763552:0.617272:0.766690:0.617272:0.766690:0.611100:0.763552:0.611100:0.000000
–1:@0.717049:0.617272:0.723955:0.617272:0.723955:0.611100:0.717049:0.611100:0.000000:0.000000
–2:@0.694736:0.617272:0.701643:0.617272:0.701643:0.611100:0.694736:0.611100:0.000000:0.000000
–3:@0.672423:0.617272:0.679330:0.617272:0.679330:0.611100:0.672423:0.611100:0.000000:0.000000
2:@0.785857:0.617272:0.788995:0.617272:0.788995:0.611100:0.785857:0.611100:0.000000
3:@0.808170:0.617272:0.811308:0.617272:0.811308:0.611100:0.808170:0.611100:0.000000
x:@0.827968:0.615204:0.830823:0.615204:0.830823:0.609032:0.827968:0.609032:0.000000
y:@0.735445:0.512882:0.738391:0.512882:0.738391:0.506710:0.735445:0.506710:0.000000
Si son parábolas que no se cortan,:@0.658883:0.736304:0.826739:0.736304:0.826739:0.724828:0.658883:0.724828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el sistema no tiene solución.:@0.673745:0.748374:0.811864:0.748374:0.811864:0.736898:0.673745:0.736898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–2:@0.732287:0.885961:0.739193:0.885961:0.739193:0.879789:0.732287:0.879789:0.000000:0.000000
–3:@0.732287:0.902707:0.739193:0.902707:0.739193:0.896535:0.732287:0.896535:0.000000:0.000000
–4:@0.732287:0.919453:0.739193:0.919453:0.739193:0.913281:0.732287:0.913281:0.000000:0.000000
–1:@0.732287:0.869220:0.739193:0.869220:0.739193:0.863048:0.732287:0.863048:0.000000:0.000000
0:@0.736140:0.852474:0.739278:0.852474:0.739278:0.846302:0.736140:0.846302:0.000000
1:@0.736140:0.835728:0.739278:0.835728:0.739278:0.829556:0.736140:0.829556:0.000000
2:@0.736140:0.818982:0.739278:0.818982:0.739278:0.812810:0.736140:0.812810:0.000000
3:@0.736140:0.802236:0.739278:0.802236:0.739278:0.796063:0.736140:0.796063:0.000000
4:@0.736140:0.785489:0.739278:0.785489:0.739278:0.779317:0.736140:0.779317:0.000000
5:@0.736140:0.768743:0.739278:0.768743:0.739278:0.762571:0.736140:0.762571:0.000000
1:@0.763552:0.861878:0.766690:0.861878:0.766690:0.855705:0.763552:0.855705:0.000000
–1:@0.717049:0.861878:0.723955:0.861878:0.723955:0.855705:0.717049:0.855705:0.000000:0.000000
–2:@0.694736:0.861878:0.701643:0.861878:0.701643:0.855705:0.694736:0.855705:0.000000:0.000000
–3:@0.672423:0.861878:0.679330:0.861878:0.679330:0.855705:0.672423:0.855705:0.000000:0.000000
2:@0.785857:0.861878:0.788995:0.861878:0.788995:0.855705:0.785857:0.855705:0.000000
3:@0.808170:0.861878:0.811308:0.861878:0.811308:0.855705:0.808170:0.855705:0.000000
x:@0.827968:0.859809:0.830823:0.859809:0.830823:0.853637:0.827968:0.853637:0.000000
y:@0.735445:0.757488:0.738391:0.757488:0.738391:0.751316:0.735445:0.751316:0.000000
 ©:@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 :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000