﻿106:@0.054582:0.966558:0.078778:0.966558:0.078778:0.950778:0.054582:0.950778:0.000000:0.000000:0.000000
El gráfico de un MRUV :@0.196081:0.117049:0.348919:0.117049:0.348919:0.101986:0.196081:0.101986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se representa con una parábo-:@0.153337:0.132891:0.350307:0.132891:0.350307:0.117828:0.153337:0.117828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la. ¿Conoces la ecuación de la :@0.153337:0.148733:0.347879:0.148733:0.347879:0.133670:0.153337:0.133670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
parábola?:@0.153337:0.164575:0.215340:0.164575:0.215340:0.149512:0.153337:0.149512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.199643:0.090434:0.323253:0.090434:0.323253:0.072751:0.199643:0.072751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál es la importancia :@0.191333:0.243351:0.344331:0.243351:0.344331:0.228288:0.191333:0.228288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de realizar gráficas del movi-:@0.153339:0.259193:0.336467:0.259193:0.336467:0.244130:0.153339:0.244130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
miento?:@0.153339:0.275035:0.205687:0.275035:0.205687:0.259972:0.153339:0.259972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.194183:0.217448:0.354751:0.217448:0.354751:0.199765:0.194183:0.199765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
CN.F.5.1.3. Obtener la velocidad instantánea empleando el gráfico posición en función del tiempo, y conceptualizar la aceleración media e instantánea, mediante el análisis :@0.147197:0.938928:0.879004:0.938928:0.879004:0.928886:0.147197:0.928886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de las gráficas velocidad en función del tiempo.:@0.145521:0.947729:0.349831:0.947729:0.349831:0.937687:0.145521:0.937687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gráficas del movimiento :@0.404235:0.106995:0.713015:0.106995:0.713015:0.062336:0.404235:0.062336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
acelerado:@0.404235:0.144714:0.523143:0.144714:0.523143:0.100055:0.404235:0.100055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De la gráfica :@0.404235:0.174603:0.495184:0.174603:0.495184:0.158106:0.404235:0.158106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
posición:@0.494914:0.175066:0.560069:0.175066:0.560069:0.158120:0.494914:0.158120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 versus :@0.560090:0.174603:0.611818:0.174603:0.611818:0.158106:0.560090:0.158106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiempo:@0.611548:0.175066:0.667338:0.175066:0.667338:0.158120:0.611548:0.158120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, se puede obtener la :@0.667340:0.174603:0.817663:0.174603:0.817663:0.158106:0.667340:0.158106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
velocidad:@0.817393:0.175066:0.891736:0.175066:0.891736:0.158120:0.817393:0.158120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.891761:0.174603:0.895903:0.174603:0.895903:0.158106:0.891761:0.158106:0.000000
de una partícula mediante la medición de la pendiente del ángulo en :@0.404235:0.191954:0.895921:0.191954:0.895921:0.175456:0.404235:0.175456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cualquier punto.:@0.404235:0.209305:0.520654:0.209305:0.520654:0.192807:0.404235:0.192807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De la gráfica :@0.404235:0.244006:0.499268:0.244006:0.499268:0.227509:0.404235:0.227509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
velocidad :@0.501041:0.244469:0.579410:0.244469:0.579410:0.227523:0.501041:0.227523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
versus :@0.581147:0.244006:0.629002:0.244006:0.629002:0.227509:0.581147:0.227509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiempo:@0.630775:0.244469:0.686565:0.244469:0.686565:0.227523:0.630775:0.227523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, se puede obtener la :@0.686567:0.244006:0.845060:0.244006:0.845060:0.227509:0.686567:0.227509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
acele-:@0.846833:0.244469:0.891761:0.244469:0.891761:0.227523:0.846833:0.227523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ración:@0.404235:0.261820:0.453091:0.261820:0.453091:0.244874:0.404235:0.244874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de una partícula mediante la medición de la pendiente del :@0.453091:0.261357:0.895845:0.261357:0.895845:0.244859:0.453091:0.244859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulo en cualquier punto.:@0.404235:0.278708:0.595094:0.278708:0.595094:0.262210:0.404235:0.262210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De la gráfica :@0.404235:0.313409:0.494916:0.313409:0.494916:0.296912:0.404235:0.296912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
velocidad:@0.494511:0.313872:0.568854:0.313872:0.568854:0.296926:0.494511:0.296926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 versus :@0.568837:0.313409:0.620429:0.313409:0.620429:0.296912:0.568837:0.296912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiempo:@0.620025:0.313872:0.675817:0.313872:0.675817:0.296926:0.620025:0.296926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, se puede obtener el desplaza-:@0.675798:0.313409:0.891775:0.313409:0.891775:0.296912:0.675798:0.296912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
miento por medio del cálculo del :@0.404215:0.330760:0.645740:0.330760:0.645740:0.314262:0.404215:0.314262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
área bajo la curva:@0.645740:0.331223:0.780672:0.331223:0.780672:0.314277:0.645740:0.314277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.780672:0.330760:0.783427:0.330760:0.783427:0.314262:0.780672:0.314262:0.000000
Ejemplo.:@0.404215:0.365924:0.471160:0.365924:0.471160:0.348978:0.404215:0.348978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Dos vehículos se mueven según muestra la Figura 3.15. :@0.471160:0.365462:0.864416:0.365462:0.864416:0.348964:0.471160:0.348964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ha-:@0.864185:0.365924:0.891676:0.365924:0.891676:0.348978:0.864185:0.348978:0.000000:0.000000:0.000000
lla:@0.404215:0.383275:0.422459:0.383275:0.422459:0.366329:0.404215:0.366329:0.000000:0.000000:0.000000
 la distancia que los separa en el instante t = 8 s.:@0.422459:0.382812:0.759771:0.382812:0.759771:0.366315:0.422459:0.366315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.578339:0.535275:0.584915:0.535275:0.584915:0.522339:0.578339:0.522339:0.000000
2:@0.578339:0.515309:0.584915:0.515309:0.584915:0.502373:0.578339:0.502373:0.000000
3:@0.578339:0.495342:0.584915:0.495342:0.584915:0.482407:0.578339:0.482407:0.000000
4:@0.578339:0.475376:0.584915:0.475376:0.584915:0.462441:0.578339:0.462441:0.000000
5:@0.578339:0.455410:0.584915:0.455410:0.584915:0.442474:0.578339:0.442474:0.000000
2:@0.639116:0.563463:0.645693:0.563463:0.645693:0.550528:0.639116:0.550528:0.000000
1:@0.612513:0.563463:0.619090:0.563463:0.619090:0.550528:0.612513:0.550528:0.000000
3:@0.665719:0.563463:0.672296:0.563463:0.672296:0.550528:0.665719:0.550528:0.000000
4:@0.692322:0.563463:0.698899:0.563463:0.698899:0.550528:0.692322:0.550528:0.000000
0:@0.576721:0.564321:0.583297:0.564321:0.583297:0.551386:0.576721:0.551386:0.000000
–1:@0.570441:0.576600:0.584915:0.576600:0.584915:0.563664:0.570441:0.563664:0.000000:0.000000
(0, 6):@0.553280:0.438151:0.581575:0.438151:0.581575:0.425216:0.553280:0.425216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.581282:0.412764:0.588548:0.412764:0.588548:0.397545:0.581282:0.397545:0.000000
x:@0.740224:0.557371:0.747262:0.557371:0.747262:0.542153:0.740224:0.542153:0.000000
B:@0.555946:0.425098:0.564678:0.425098:0.564678:0.409880:0.555946:0.409880:0.000000
A:@0.556051:0.608924:0.566530:0.608924:0.566530:0.593706:0.556051:0.593706:0.000000
(0, –2):@0.548722:0.593810:0.584915:0.593810:0.584915:0.580874:0.548722:0.580874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(4, 1):@0.708326:0.537287:0.736621:0.537287:0.736621:0.524351:0.708326:0.524351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolución:@0.404235:0.657988:0.488460:0.657988:0.488460:0.641042:0.404235:0.641042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Primero debemos hallar::@0.404235:0.674876:0.576560:0.674876:0.576560:0.658378:0.404235:0.658378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(1)    =   – :@0.404235:0.692227:0.489425:0.692227:0.489425:0.675729:0.404235:0.675729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r r:@0.432920:0.692342:0.464072:0.692342:0.464072:0.675873:0.432920:0.675873:0.000000:0.000000:0.000000
A:@0.464071:0.695572:0.470641:0.695572:0.470641:0.685971:0.464071:0.685971:0.000000
r:@0.489425:0.692342:0.495455:0.692342:0.495455:0.675873:0.489425:0.675873:0.000000
B:@0.495455:0.695572:0.500812:0.695572:0.500812:0.685971:0.495455:0.685971:0.000000
Definimos las ecuaciones de cada recta::@0.404235:0.709577:0.685791:0.709577:0.685791:0.693080:0.404235:0.693080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recta A::@0.404235:0.726928:0.463146:0.726928:0.463146:0.710430:0.404235:0.710430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.408593:0.751326:0.413552:0.751326:0.417715:0.737124:0.412756:0.737124:0.000000
t:@0.449922:0.751326:0.455296:0.751326:0.459459:0.737124:0.454085:0.737124:0.000000
3:@0.441798:0.743512:0.449112:0.743512:0.449112:0.729310:0.441798:0.729310:0.000000
4:@0.441798:0.761013:0.449112:0.761013:0.449112:0.746810:0.441798:0.746810:0.000000
2:@0.473691:0.751329:0.481005:0.751329:0.481005:0.737126:0.473691:0.737126:0.000000
A:@0.413691:0.753426:0.420192:0.753426:0.422841:0.744388:0.416340:0.744388:0.000000
=:@0.424790:0.752085:0.437693:0.752085:0.437693:0.735530:0.424790:0.735530:0.000000
−:@0.459651:0.752085:0.472554:0.752085:0.472554:0.735530:0.459651:0.735530:0.000000
Recta B: :@0.404235:0.783632:0.464591:0.783632:0.464591:0.767135:0.404235:0.767135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.407015:0.808352:0.411974:0.808352:0.416137:0.794150:0.411178:0.794150:0.000000
t:@0.459174:0.808352:0.464548:0.808352:0.468711:0.794150:0.463337:0.794150:0.000000
5:@0.450868:0.800537:0.458182:0.800537:0.458182:0.786334:0.450868:0.786334:0.000000
4:@0.451051:0.818038:0.458365:0.818038:0.458365:0.803835:0.451051:0.803835:0.000000
6:@0.484270:0.808354:0.491584:0.808354:0.491584:0.794151:0.484270:0.794151:0.000000
B:@0.411452:0.810451:0.416476:0.810451:0.419125:0.801413:0.414102:0.801413:0.000000
=−:@0.421655:0.809111:0.449020:0.809111:0.449020:0.792557:0.421655:0.792557:0.000000:0.000000
+:@0.469237:0.809111:0.482140:0.809111:0.482140:0.792557:0.469237:0.792557:0.000000
Reemplazamos el tiempo (t = 8 s) en las ecuaciones::@0.404235:0.840337:0.774796:0.840337:0.774796:0.823839:0.404235:0.823839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.404235:0.857803:0.410265:0.857803:0.410265:0.841334:0.404235:0.841334:0.000000
A:@0.410264:0.861033:0.416834:0.861033:0.416834:0.851432:0.410264:0.851432:0.000000
 = 4   y    = –4 :@0.416834:0.857687:0.547921:0.857687:0.547921:0.841190:0.416834:0.841190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.448564:0.857803:0.463360:0.857803:0.463360:0.841334:0.448564:0.841334:0.000000
 :@0.463360:0.862719:0.467502:0.862719:0.467502:0.846221:0.463360:0.846221:0.000000
 :@0.487749:0.862719:0.491891:0.862719:0.491891:0.846221:0.487749:0.846221:0.000000
r:@0.491891:0.857803:0.497921:0.857803:0.497921:0.841334:0.491891:0.841334:0.000000
B :@0.497921:0.861033:0.505693:0.861033:0.505693:0.851432:0.497921:0.851432:0.000000:0.000000
m:@0.547921:0.857803:0.562717:0.857803:0.562717:0.841334:0.547921:0.841334:0.000000
Reemplazamos los valores de posición en la ecuación (1)::@0.404241:0.875038:0.809613:0.875038:0.809613:0.858540:0.404241:0.858540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.404241:0.892505:0.410271:0.892505:0.410271:0.876036:0.404241:0.876036:0.000000
 = 4   – (–4  ) 8 :@0.410271:0.892389:0.557227:0.892389:0.557227:0.875891:0.410271:0.875891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.442001:0.892505:0.456797:0.892505:0.456797:0.876036:0.442001:0.876036:0.000000
m  =  m:@0.504671:0.892505:0.572022:0.892505:0.572022:0.876036:0.504671:0.876036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.414020:0.629089:0.416901:0.629089:0.416901:0.617613:0.414020:0.617613:0.000000
Figura 3.15.:@0.416901:0.629089:0.471380:0.629089:0.471380:0.617613:0.416901:0.617613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r(m):@0.556035:0.411967:0.572314:0.411967:0.572314:0.403719:0.556035:0.403719:0.000000:0.000000:0.000000:0.000000
t(s):@0.731734:0.502958:0.743929:0.502958:0.743929:0.494709:0.731734:0.494709:0.000000:0.000000:0.000000:0.000000
Cuando se mide la pen-:@0.196083:0.402845:0.350820:0.402845:0.350820:0.387782:0.196083:0.387782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diente del ángulo en un gráfico, :@0.153339:0.418687:0.360987:0.418687:0.360987:0.403624:0.153339:0.403624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hay que considerar la escala en :@0.153339:0.434529:0.356062:0.434529:0.356062:0.419466:0.153339:0.419466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el eje de las abscisas y de las or-:@0.153339:0.450371:0.354604:0.450371:0.354604:0.435308:0.153339:0.435308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denadas. Para obtener el ángulo :@0.153339:0.466213:0.363114:0.466213:0.363114:0.451150:0.153339:0.451150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
correcto, se debe graficar cada :@0.153339:0.482055:0.353826:0.482055:0.353826:0.466992:0.153339:0.466992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eje con la proporción de 1 a 1.:@0.153339:0.497897:0.348287:0.497897:0.348287:0.482834:0.153339:0.482834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuación de la recta::@0.153339:0.520868:0.285667:0.520868:0.285667:0.505805:0.153339:0.505805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y mx b:@0.153339:0.536815:0.208906:0.536815:0.208906:0.521779:0.153339:0.521779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.160357:0.536710:0.170225:0.536710:0.170225:0.521647:0.160357:0.521647:0.000000
+ .:@0.190577:0.536710:0.211421:0.536710:0.211421:0.521647:0.190577:0.521647:0.000000:0.000000:0.000000
En nuestro caso::@0.153339:0.559681:0.258666:0.559681:0.258666:0.544618:0.153339:0.544618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.153339:0.575628:0.160357:0.575628:0.160357:0.560592:0.153339:0.560592:0.000000
=posición ( ).:@0.160357:0.575523:0.248149:0.575523:0.248149:0.560460:0.160357:0.560460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.234693:0.575628:0.240198:0.575628:0.240198:0.560592:0.234693:0.560592:0.000000
m:@0.153339:0.591470:0.166848:0.591470:0.166848:0.576434:0.153339:0.576434:0.000000
=pendiente.:@0.166848:0.591365:0.245581:0.591365:0.245581:0.576302:0.166848:0.576302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.153339:0.607312:0.160164:0.607312:0.160164:0.592276:0.153339:0.592276:0.000000
= tiempo ( ).:@0.160164:0.607207:0.243820:0.607207:0.243820:0.592144:0.160164:0.592144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.230698:0.607312:0.235870:0.607312:0.235870:0.592276:0.230698:0.592276:0.000000
b:@0.153339:0.623154:0.161800:0.623154:0.161800:0.608118:0.153339:0.608118:0.000000
=posición en el eje.:@0.161800:0.623049:0.285792:0.623049:0.285792:0.607985:0.161800:0.607985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para calcular la pendiente, en :@0.153339:0.646019:0.345174:0.646019:0.345174:0.630956:0.153339:0.630956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
geometría analítica tenemos la :@0.153339:0.661861:0.354901:0.661861:0.354901:0.646798:0.153339:0.646798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación::@0.153339:0.677703:0.214587:0.677703:0.214587:0.662640:0.153339:0.662640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.155962:0.702264:0.168782:0.702264:0.172945:0.688061:0.160125:0.688061:0.000000
y:@0.188801:0.694448:0.195535:0.694448:0.199698:0.680246:0.192964:0.680246:0.000000
y:@0.219566:0.694448:0.226300:0.694448:0.230463:0.680246:0.223729:0.680246:0.000000
x:@0.188796:0.711949:0.195679:0.711949:0.199842:0.697747:0.192959:0.697747:0.000000
x:@0.219561:0.711949:0.226444:0.711949:0.230607:0.697747:0.223724:0.697747:0.000000
2:@0.198071:0.696548:0.202725:0.696548:0.202725:0.687510:0.198071:0.687510:0.000000
1:@0.228414:0.696548:0.233068:0.696548:0.233068:0.687510:0.228414:0.687510:0.000000
2:@0.198071:0.714053:0.202725:0.714053:0.202725:0.705015:0.198071:0.705015:0.000000
1:@0.228414:0.714053:0.233068:0.714053:0.233068:0.705015:0.228414:0.705015:0.000000
=:@0.172393:0.703023:0.185296:0.703023:0.185296:0.686468:0.172393:0.686468:0.000000
−:@0.205795:0.695206:0.218698:0.695206:0.218698:0.678651:0.205795:0.678651:0.000000
−:@0.205795:0.712707:0.218698:0.712707:0.218698:0.696152:0.205795:0.696152:0.000000
Recta A::@0.153344:0.739981:0.207134:0.739981:0.207134:0.724918:0.153344:0.724918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.155962:0.768180:0.168782:0.768180:0.172945:0.753978:0.160125:0.753978:0.000000
1:@0.188366:0.759410:0.195680:0.759410:0.195680:0.745208:0.188366:0.745208:0.000000
2:@0.227042:0.759410:0.234356:0.759410:0.234356:0.745208:0.227042:0.745208:0.000000
40:@0.199346:0.777870:0.229845:0.777870:0.229845:0.763667:0.199346:0.763667:0.000000:0.000000
3:@0.260594:0.760369:0.267908:0.760369:0.267908:0.746167:0.260594:0.746167:0.000000
4:@0.260594:0.777870:0.267908:0.777870:0.267908:0.763667:0.260594:0.763667:0.000000
( ):@0.208484:0.761671:0.240991:0.761671:0.240991:0.741474:0.208484:0.741474:0.000000:0.000000:0.000000
=:@0.172393:0.768939:0.185296:0.768939:0.185296:0.752385:0.172393:0.752385:0.000000
−−:@0.195479:0.760164:0.227189:0.760164:0.227189:0.743609:0.195479:0.743609:0.000000:0.000000
−:@0.208154:0.778628:0.221057:0.778628:0.221057:0.762073:0.208154:0.762073:0.000000
=:@0.243586:0.768939:0.256489:0.768939:0.256489:0.752385:0.243586:0.752385:0.000000
Recta B:@0.153344:0.801003:0.202156:0.801003:0.202156:0.785940:0.153344:0.785940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.156437:0.825792:0.169258:0.825792:0.173421:0.811590:0.160601:0.811590:0.000000
61:@0.191243:0.817977:0.220698:0.817977:0.220698:0.803774:0.191243:0.803774:0.000000:0.000000
04:@0.189883:0.835478:0.220382:0.835478:0.220382:0.821275:0.189883:0.821275:0.000000:0.000000
5:@0.246902:0.817977:0.254216:0.817977:0.254216:0.803774:0.246902:0.803774:0.000000
4:@0.252939:0.835478:0.260253:0.835478:0.260253:0.821275:0.252939:0.821275:0.000000
=:@0.172883:0.826553:0.185786:0.826553:0.185786:0.809998:0.172883:0.809998:0.000000
−:@0.200066:0.818736:0.212969:0.818736:0.212969:0.802181:0.200066:0.802181:0.000000
−:@0.198688:0.836240:0.211591:0.836240:0.211591:0.819685:0.198688:0.819685:0.000000
=:@0.224178:0.826551:0.237081:0.826551:0.237081:0.809997:0.224178:0.809997:0.000000
−:@0.240150:0.836240:0.253053:0.836240:0.253053:0.819685:0.240150:0.819685:0.000000
Competencia :@0.195568:0.364450:0.297840:0.364450:0.297840:0.348241:0.195568:0.348241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.195568:0.377022:0.283634:0.377022:0.283634:0.360813:0.195568:0.360813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000