90:@0.058599:0.966558:0.074760:0.966558:0.074760:0.950778:0.058599:0.950778:0.000000:0.000000
CN.F.5.1.9. Construir, a partir del gráfico posición versus tiempo, el vector velocidad instantánea evaluado en el instante inicial, considerando los vectores, posiciones y des-:@0.147197:0.912323:0.876480:0.912323:0.876480:0.902281:0.147197:0.902281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
plazamiento para dos instantes diferentes, inicial y final, haciendo que el instante final se aproxime al inicial tanto como se desee (pero que nunca sean iguales), y reconocer :@0.143844:0.921124:0.883987:0.921124:0.883987:0.911082:0.143844:0.911082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que la dirección del vector velocidad instantánea se encuentra en la dirección de la línea tangente a la trayectoria en el instante inicial.:@0.145521:0.929925:0.721836:0.929925:0.721836:0.919883:0.145521:0.919883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ¿Cuándo varía la :@0.196081:0.117049:0.309396:0.117049:0.309396:0.101986:0.196081:0.101986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
velocidad en un transcurso de :@0.153337:0.132891:0.352875:0.132891:0.352875:0.117828:0.153337:0.117828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiempo?:@0.153337:0.148733:0.206213:0.148733:0.206213:0.133670:0.153337:0.133670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Para qué se usa la velocidad :@0.153337:0.171704:0.342233:0.171704:0.342233:0.156641:0.153337:0.156641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
media?:@0.153337:0.187546:0.199124:0.187546:0.199124:0.172483:0.153337:0.172483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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
instante.:@0.191333:0.371707:0.249150:0.371707:0.249150:0.356446:0.191333:0.356446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 En física corres-:@0.249152:0.371509:0.352704:0.371509:0.352704:0.356446:0.249152:0.356446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ponde a un intervalo de tiempo :@0.153339:0.387351:0.364928:0.387351:0.364928:0.372288:0.153339:0.372288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que tiende a cero.:@0.153339:0.403193:0.268198:0.403193:0.268198:0.388130:0.153339:0.388130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Glosario:@0.204392:0.345607:0.271857:0.345607:0.271857:0.327924:0.204392:0.327924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué es un instante?  :@0.191333:0.271607:0.332071:0.271607:0.332071:0.256543:0.191333:0.256543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuánto tiempo dura?:@0.153339:0.287449:0.297471:0.287449:0.297471:0.272385:0.153339:0.272385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.194183:0.245703:0.354751:0.245703:0.354751:0.228020:0.194183:0.228020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Análisis de la velocidad:@0.404235:0.106995:0.689092:0.106995:0.689092:0.062336:0.404235:0.062336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
instantánea:@0.404235:0.144714:0.551036:0.144714:0.551036:0.100055:0.404235:0.100055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 260869829 :@0.906920:0.406954:0.906920:0.337159:0.895452:0.337159:0.895452:0.406954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En una carrera atlética o en una de caballos, la información que nece-:@0.404653:0.442392:0.892189:0.442392:0.892189:0.425894:0.404653:0.425894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sitamos conocer es la velocidad media, ya que será el ganador quien :@0.404653:0.459743:0.896314:0.459743:0.896314:0.443245:0.404653:0.443245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
haya recorrido la misma distancia en el menor tiempo. Hay ocasio-:@0.404653:0.477094:0.892255:0.477094:0.892255:0.460596:0.404653:0.460596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nes, sin embargo, en que es importante conocer la velocidad en un :@0.404653:0.494444:0.896318:0.494444:0.896318:0.477947:0.404653:0.477947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
instante específico, por ejemplo, cuando vamos en la autopista y no :@0.404653:0.511795:0.896297:0.511795:0.896297:0.495297:0.404653:0.495297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
queremos sobrepasar los límites de velocidad para evitar una sanción. :@0.404653:0.529146:0.896357:0.529146:0.896357:0.512648:0.404653:0.512648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es importante conocer la velocidad a la que se encuentra nuestro :@0.404653:0.546497:0.896395:0.546497:0.896395:0.529999:0.404653:0.529999:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
móvil en cada instante del camino.:@0.404653:0.563847:0.651285:0.563847:0.651285:0.547350:0.404653:0.547350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Analíticamente, la velocidad media es el cambio de posición en un :@0.404653:0.598549:0.896280:0.598549:0.896280:0.582051:0.404653:0.582051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intervalo de tiempo:   = :@0.404653:0.615900:0.590294:0.615900:0.590294:0.599402:0.404653:0.599402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.552610:0.616015:0.560394:0.616015:0.560394:0.599546:0.552610:0.599546:0.000000
m:@0.561084:0.619244:0.569710:0.619244:0.569710:0.609642:0.561084:0.609642:0.000000
∆ ∆:@0.590872:0.616435:0.635375:0.616435:0.635375:0.598028:0.590872:0.598028:0.000000:0.000000:0.000000
r:@0.604300:0.616015:0.610330:0.616015:0.610330:0.599546:0.604300:0.599546:0.000000
/ :@0.610908:0.615900:0.621947:0.615900:0.621947:0.599402:0.610908:0.599402:0.000000:0.000000
t:@0.635953:0.616015:0.641617:0.616015:0.641617:0.599546:0.635953:0.599546:0.000000
Como se observa en la Figura 3.8., un móvil pasa de una posición :@0.404654:0.650601:0.896396:0.650601:0.896396:0.634103:0.404654:0.634103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r  :@0.404654:0.668068:0.419530:0.668068:0.419530:0.651599:0.404654:0.651599:0.000000:0.000000:0.000000
1:@0.410683:0.671296:0.415389:0.671296:0.415389:0.661695:0.410683:0.661695:0.000000
a una posición  en un intervalo de tiempo :@0.420744:0.667952:0.743290:0.667952:0.743290:0.651454:0.420744:0.651454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 r:@0.526759:0.668068:0.538144:0.668068:0.538144:0.651599:0.526759:0.651599:0.000000:0.000000
2:@0.538130:0.671296:0.542836:0.671296:0.542836:0.661695:0.538130:0.661695:0.000000
∆:@0.744504:0.668487:0.757354:0.668487:0.757354:0.650081:0.744504:0.650081:0.000000
t:@0.759454:0.668068:0.765118:0.668068:0.765118:0.651599:0.759454:0.651599:0.000000
. La recta secante :@0.767237:0.667952:0.896351:0.667952:0.896351:0.651454:0.767237:0.651454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que pasa por ambas posiciones es la dirección de la velocidad media :@0.404665:0.685303:0.896253:0.685303:0.896253:0.668805:0.404665:0.668805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.416316:0.696349:0.423734:0.696349:0.423734:0.679905:0.416316:0.679905:0.000000
( ):@0.408128:0.708075:0.439808:0.708075:0.439808:0.684060:0.408128:0.684060:0.000000:0.000000:0.000000
v:@0.415197:0.704714:0.422507:0.704714:0.422507:0.689248:0.415197:0.689248:0.000000
m:@0.424334:0.706602:0.432367:0.706602:0.432367:0.697661:0.424334:0.697661:0.000000
del móvil. :@0.446534:0.705419:0.519126:0.705419:0.519126:0.688922:0.446534:0.688922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para entender la velocidad instantánea en un tiempo  , como mues-:@0.404652:0.740121:0.892178:0.740121:0.892178:0.723623:0.404652:0.723623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.788123:0.740237:0.793787:0.740237:0.793787:0.723768:0.788123:0.723768:0.000000
tra la Figura 3.9., lo que se requiere es hacer el intervalo de tiempo :@0.404652:0.757472:0.896422:0.757472:0.896422:0.740974:0.404652:0.740974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cada vez más pequeño, de tal manera que la recta secante llegue a :@0.404652:0.774822:0.896355:0.774822:0.896355:0.758325:0.404652:0.758325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
convertirse en una recta tangente a la trayectoria, llegando a un :@0.404652:0.792173:0.870507:0.792173:0.870507:0.775676:0.404652:0.775676:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆:@0.871545:0.792708:0.884395:0.792708:0.884395:0.774302:0.871545:0.774302:0.000000
t :@0.886514:0.792289:0.896320:0.792289:0.896320:0.775820:0.886514:0.775820:0.000000:0.000000
que tienda a ser 0. En ese momento se dice que el punto que toca :@0.404652:0.809524:0.896318:0.809524:0.896318:0.793026:0.404652:0.793026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la recta tangente con la trayectoria es el:@0.404652:0.826875:0.688639:0.826875:0.688639:0.810377:0.404652:0.810377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 instante :@0.688639:0.827092:0.757129:0.827092:0.757129:0.810377:0.688639:0.810377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el que se puede :@0.757572:0.826875:0.896299:0.826875:0.896299:0.810377:0.757572:0.810377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
verificar la velocidad instantánea del móvil. :@0.404652:0.844225:0.712911:0.844225:0.712911:0.827728:0.404652:0.827728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153632:0.604749:0.156513:0.604749:0.156513:0.593273:0.153632:0.593273:0.000000
Figura 3.8.:@0.156513:0.604749:0.205082:0.604749:0.205082:0.593273:0.156513:0.593273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153632:0.808054:0.156513:0.808054:0.156513:0.796577:0.153632:0.796577:0.000000
Figura 3.9.:@0.156513:0.808054:0.205082:0.808054:0.205082:0.796577:0.156513:0.796577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.210143:0.520524:0.220149:0.520524:0.220149:0.505920:0.210143:0.505920:0.000000:0.000000
t:@0.317847:0.500335:0.327853:0.500335:0.327853:0.485730:0.317847:0.485730:0.000000:0.000000
t:@0.352290:0.511807:0.357368:0.511807:0.357368:0.497203:0.352290:0.497203:0.000000
x:@0.357460:0.585671:0.364215:0.585671:0.364215:0.571067:0.357460:0.571067:0.000000
y:@0.154674:0.490894:0.161646:0.490894:0.161646:0.476289:0.154674:0.476289:0.000000
0:@0.154607:0.584395:0.162032:0.584395:0.162032:0.569790:0.154607:0.569790:0.000000
r:@0.179245:0.546921:0.189771:0.546921:0.189771:0.532317:0.179245:0.532317:0.000000:0.000000
r:@0.226242:0.540632:0.236767:0.540632:0.236767:0.526027:0.226242:0.526027:0.000000:0.000000
V:@0.341622:0.493925:0.351309:0.493925:0.351309:0.479321:0.341622:0.479321:0.000000
m:@0.351319:0.494353:0.358911:0.494353:0.358911:0.485839:0.351319:0.485839:0.000000
t:@0.215499:0.732991:0.225500:0.732991:0.225500:0.718394:0.215499:0.718394:0.000000:0.000000
t:@0.314371:0.713302:0.324372:0.713302:0.324372:0.698705:0.314371:0.698705:0.000000:0.000000
t:@0.345665:0.726139:0.350741:0.726139:0.350741:0.711542:0.345665:0.711542:0.000000
x:@0.355100:0.790955:0.361851:0.790955:0.361851:0.776358:0.355100:0.776358:0.000000
y:@0.166104:0.700354:0.173073:0.700354:0.173073:0.685757:0.166104:0.685757:0.000000
0:@0.163179:0.789921:0.170601:0.789921:0.170601:0.775323:0.163179:0.775323:0.000000
r:@0.189908:0.752730:0.200428:0.752730:0.200428:0.738132:0.189908:0.738132:0.000000:0.000000
r:@0.227969:0.748895:0.238490:0.748895:0.238490:0.734298:0.227969:0.734298:0.000000:0.000000
V:@0.344968:0.710950:0.354651:0.710950:0.354651:0.696352:0.344968:0.696352:0.000000
m:@0.354657:0.711571:0.362246:0.711571:0.362246:0.703061:0.354657:0.703061:0.000000
V:@0.344797:0.696796:0.359405:0.696796:0.359405:0.682199:0.344797:0.682199:0.000000:0.000000
La dirección de velocidad media :@0.143847:0.624759:0.357263:0.624759:0.357263:0.609695:0.143847:0.609695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre un tiempo:@0.143847:0.640601:0.250249:0.640601:0.250249:0.625537:0.143847:0.625537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 t  y t:@0.250249:0.640706:0.285697:0.640706:0.285697:0.625669:0.250249:0.625669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o :@0.259165:0.643654:0.265944:0.643654:0.265944:0.634887:0.259165:0.634887:0.000000:0.000000
1:@0.285696:0.643654:0.289993:0.643654:0.289993:0.634887:0.285696:0.634887:0.000000
Dirección de la velocidad instantá-:@0.144266:0.828063:0.368887:0.828063:0.368887:0.813000:0.144266:0.813000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nea en un tiempo :@0.144266:0.843905:0.263929:0.843905:0.263929:0.828842:0.144266:0.828842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.263929:0.844010:0.269100:0.844010:0.269100:0.828974:0.263929:0.828974:0.000000