127:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento numérico y variacional:@0.603971:0.043660:0.926928:0.043660:0.926928:0.024915:0.603971:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Verifica cada paso del siguiente ejercicio.:@0.073089:0.136836:0.410945:0.136836:0.410945:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.158749:0.136836:0.162559:0.136836:0.162559:0.119889:0.158749:0.119889:0.000000
A  la distancia recorrida por un cuerpo  que  cae :@0.103214:0.161702:0.489982:0.161702:0.489982:0.145268:0.103214:0.145268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
libremente, al que se le ha dado una velocidad inicial :@0.103214:0.178344:0.490144:0.178344:0.490144:0.161910:0.103214:0.161910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.103214:0.194986:0.110945:0.194986:0.110945:0.178579:0.103214:0.178579:0.000000
0:@0.111205:0.198154:0.116442:0.198154:0.116442:0.188573:0.111205:0.188573:0.000000
, y cuyo rozamiento con el aire se desprecia, la :@0.116629:0.194982:0.489853:0.194982:0.489853:0.178548:0.116629:0.178548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calculamos mediante la siguiente función: :@0.103210:0.211624:0.412732:0.211624:0.412732:0.195190:0.103210:0.195190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
donde  es la aceleración debida a la gravedad, que :@0.103210:0.294270:0.489994:0.294270:0.489994:0.277837:0.103210:0.277837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g :@0.156384:0.294270:0.168966:0.294270:0.168966:0.277864:0.156384:0.277864:0.000000:0.000000
tiene un valor constante de 9,8 m/s .:@0.103206:0.316959:0.367324:0.316964:0.367324:0.300530:0.103206:0.300525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.358932:0.310900:0.364169:0.310900:0.364169:0.301319:0.358932:0.301319:0.000000
Si  :@0.103217:0.354158:0.122526:0.354158:0.122526:0.337725:0.103217:0.337725:0.000000:0.000000:0.000000:0.000000
 calculemos la velocidad y la aceleración :@0.203614:0.354161:0.489885:0.354161:0.489885:0.337727:0.203614:0.337727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a los 2 segundos de iniciada la caída. Se tiene: :@0.103204:0.380635:0.428765:0.380635:0.428765:0.364201:0.103204:0.364201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Y t:@0.197909:0.407997:0.216555:0.407997:0.216555:0.391591:0.197909:0.391591:0.000000:0.000000:0.000000
( )= 0,5  + 4,9 :@0.206560:0.407997:0.303567:0.407997:0.303567:0.391563:0.206560:0.391563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.255763:0.407997:0.261138:0.407997:0.261138:0.391591:0.255763:0.391591:0.000000
t ,   t:@0.303254:0.407997:0.330824:0.408000:0.330824:0.391594:0.303254:0.391591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.308396:0.401936:0.313354:0.401936:0.313354:0.392371:0.308396:0.392371:0.000000
 ≥ 0.:@0.330603:0.408000:0.360970:0.408000:0.360970:0.391566:0.330603:0.391566:0.000000:0.000000:0.000000:0.000000:0.000000
Primeramente, la velocidad viene dada por ::@0.103219:0.435362:0.403434:0.435362:0.403434:0.418928:0.103219:0.418928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.171694:0.503968:0.175725:0.503968:0.175725:0.487534:0.171694:0.487534:0.000000
Luego, la aceleración  ( ) se calcula como::@0.103210:0.531337:0.401858:0.531337:0.401858:0.514903:0.103210:0.514903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a  t:@0.254876:0.531337:0.276946:0.531337:0.276946:0.514931:0.254876:0.514931:0.000000:0.000000:0.000000:0.000000
 :@0.203649:0.572040:0.207680:0.572040:0.207680:0.555607:0.203649:0.555607:0.000000
Para  = 2,    (2) = 9,8 :@0.103210:0.600837:0.259140:0.600837:0.259140:0.584403:0.103210:0.584403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t :@0.137118:0.600837:0.145733:0.600837:0.145733:0.584431:0.137118:0.584431:0.000000:0.000000
a :@0.184388:0.600837:0.196886:0.600837:0.196886:0.584431:0.184388:0.584431:0.000000:0.000000
m:@0.264031:0.592365:0.278646:0.592365:0.278646:0.575959:0.264031:0.575959:0.000000
s:@0.265706:0.608757:0.272075:0.608757:0.272075:0.592351:0.265706:0.592351:0.000000
2:@0.272012:0.602691:0.276969:0.602691:0.276969:0.593126:0.272012:0.593126:0.000000
.:@0.283605:0.600837:0.286808:0.600837:0.286808:0.584403:0.283605:0.584403:0.000000
En conclusión, el cuerpo ha caído en 2 segundos una :@0.103214:0.647698:0.489943:0.647698:0.489943:0.631264:0.103214:0.631264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
altura de  (2) = 20,6 :@0.103214:0.669124:0.258939:0.669124:0.258939:0.652690:0.103214:0.652690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Y :@0.173032:0.669124:0.185273:0.669124:0.185273:0.652718:0.173032:0.652718:0.000000:0.000000
m; :@0.259546:0.669124:0.280844:0.669124:0.280844:0.652718:0.259546:0.652718:0.000000:0.000000:0.000000
tiene una velocidad de 20,1 :@0.281304:0.669124:0.489803:0.669124:0.489803:0.652690:0.281304:0.652690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.108249:0.685879:0.122865:0.685879:0.122865:0.669473:0.108249:0.669473:0.000000
s:@0.112372:0.702272:0.118741:0.702272:0.118741:0.685865:0.112372:0.685865:0.000000
 y una aceleración constante de  9,8 :@0.127816:0.694353:0.390407:0.694353:0.390407:0.677919:0.127816:0.677919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.395308:0.685879:0.409924:0.685879:0.409924:0.669473:0.395308:0.669473:0.000000
s:@0.396983:0.702272:0.403352:0.702272:0.403352:0.685865:0.396983:0.685865:0.000000
2:@0.403287:0.696205:0.408245:0.696205:0.408245:0.686640:0.403287:0.686640:0.000000
.:@0.414882:0.694350:0.418085:0.694350:0.418085:0.677916:0.414882:0.677916:0.000000
En la Figura 2.1 se muestra la gráfica de la función  , y :@0.103210:0.750087:0.489799:0.750087:0.489799:0.733653:0.103210:0.733653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Y:@0.462023:0.750087:0.470932:0.750087:0.470932:0.733680:0.462023:0.733680:0.000000
a la derecha se muestra la gráfica de la función  .:@0.103210:0.766728:0.456390:0.766728:0.456390:0.750295:0.103210:0.750295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.444149:0.766728:0.453261:0.766728:0.453261:0.750322:0.444149:0.750322:0.000000
a:@0.613828:0.025200:0.620990:0.025200:0.620990:0.012229:0.613828:0.012229:0.000000
a + h4:@0.703419:0.026920:0.739703:0.026920:0.739703:0.013950:0.703419:0.013950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a + h1:@0.775884:0.027780:0.812168:0.027780:0.812168:0.014810:0.775884:0.014810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.820825:0.023738:0.827261:0.023738:0.827261:0.009770:0.820825:0.009770:0.000000
1:@0.619358:0.140459:0.624916:0.140459:0.624916:0.129485:0.619358:0.129485:0.000000
0:@0.580576:0.143910:0.586134:0.143910:0.586134:0.132935:0.580576:0.132935:0.000000
t:@0.693385:0.153779:0.697186:0.153779:0.697186:0.142804:0.693385:0.142804:0.000000
1:@0.578292:0.172874:0.583850:0.172874:0.583850:0.161899:0.578292:0.161899:0.000000
2:@0.578292:0.197234:0.583850:0.197234:0.583850:0.186259:0.578292:0.186259:0.000000
3:@0.578292:0.221594:0.583850:0.221594:0.583850:0.210619:0.578292:0.210619:0.000000
4:@0.578292:0.245954:0.583850:0.245954:0.583850:0.234979:0.578292:0.234979:0.000000
5:@0.581291:0.270315:0.586849:0.270315:0.586849:0.259340:0.581291:0.259340:0.000000
6:@0.581291:0.294675:0.586849:0.294675:0.586849:0.283700:0.581291:0.283700:0.000000
7:@0.581291:0.319035:0.586849:0.319035:0.586849:0.308060:0.581291:0.308060:0.000000
y:@0.581454:0.338253:0.586673:0.338253:0.586673:0.327278:0.581454:0.327278:0.000000
y = 0,5t + 4,9t²:@0.623110:0.203189:0.691867:0.203189:0.691867:0.192214:0.623110:0.192214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.806182:0.140459:0.811740:0.140459:0.811740:0.129485:0.806182:0.129485:0.000000
0:@0.767399:0.143910:0.772958:0.143910:0.772958:0.132935:0.767399:0.132935:0.000000
t:@0.880208:0.153779:0.884010:0.153779:0.884010:0.142804:0.880208:0.142804:0.000000
1:@0.765116:0.172874:0.770674:0.172874:0.770674:0.161899:0.765116:0.161899:0.000000
2:@0.765116:0.197234:0.770674:0.197234:0.770674:0.186259:0.765116:0.186259:0.000000
3:@0.765116:0.221594:0.770674:0.221594:0.770674:0.210619:0.765116:0.210619:0.000000
4:@0.765116:0.245954:0.770674:0.245954:0.770674:0.234979:0.765116:0.234979:0.000000
5:@0.768114:0.270315:0.773673:0.270315:0.773673:0.259340:0.768114:0.259340:0.000000
6:@0.768114:0.294675:0.773673:0.294675:0.773673:0.283700:0.768114:0.283700:0.000000
7:@0.768114:0.319035:0.773673:0.319035:0.773673:0.308060:0.768114:0.308060:0.000000
v:@0.768265:0.338253:0.773535:0.338253:0.773535:0.327278:0.768265:0.327278:0.000000
y = 0,5t + 9,8t:@0.811790:0.203189:0.876858:0.203189:0.876858:0.192214:0.811790:0.192214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.833545:0.358082:0.845013:0.358082:0.845013:0.348030:0.833545:0.348030:0.000000
 :@0.844778:0.358741:0.847710:0.358741:0.847710:0.346789:0.844778:0.346789:0.000000
Figura 2.1:@0.847657:0.358741:0.898495:0.358741:0.898495:0.346789:0.847657:0.346789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los sistemas de referencia, como por ejemplo el :@0.103210:0.821808:0.489757:0.821808:0.489757:0.805374:0.103210:0.805374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistema de coordenadas rectangulares, se utilizan :@0.103210:0.838450:0.489817:0.838450:0.489817:0.822016:0.103210:0.822016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para facilitar la comprensión de lo que ocurre en la :@0.103210:0.855091:0.490092:0.855091:0.490092:0.838658:0.103210:0.838658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
caída libre de los cuerpos. La parte positiva apunta :@0.103210:0.871733:0.489880:0.871733:0.489880:0.855300:0.103210:0.855300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia abajo, como se indica en la gráfica.:@0.103210:0.888375:0.396461:0.888375:0.396461:0.871941:0.103210:0.871941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Evaluación formativa:@0.131433:0.098522:0.446328:0.098522:0.446328:0.067281:0.131433:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.  En una pista larga y recta, un automóvil parte del :@0.514231:0.388191:0.930530:0.388191:0.930530:0.371521:0.514231:0.371521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reposo. Su velocidad, en :@0.544355:0.404833:0.731395:0.404833:0.731395:0.388163:0.544355:0.388163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m/s:@0.731226:0.404833:0.758082:0.404833:0.758082:0.388427:0.731226:0.388427:0.000000:0.000000:0.000000
 está dada por: :@0.758027:0.404833:0.873158:0.404833:0.873158:0.388163:0.758027:0.388163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  Calcula la velocidad y la aceleración en :@0.545774:0.511367:0.873904:0.511367:0.873904:0.494933:0.545774:0.494933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t =  s:@0.876087:0.511367:0.923928:0.511367:0.923928:0.494961:0.876087:0.494961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5  . :@0.902318:0.511367:0.930959:0.511367:0.930959:0.494933:0.902318:0.494933:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.926928:0.511367:0.930959:0.511367:0.930959:0.494933:0.926928:0.494933:0.000000
¿Existe aceleración en el instante   = 10 s?:@0.575920:0.528009:0.876106:0.528009:0.876106:0.511575:0.575920:0.511575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.816411:0.528009:0.821786:0.528009:0.821786:0.511603:0.816411:0.511603:0.000000
si :@0.684101:0.438679:0.698330:0.438679:0.698330:0.422245:0.684101:0.422245:0.000000:0.000000:0.000000
t < :@0.698054:0.438679:0.720272:0.438679:0.720272:0.422273:0.698054:0.422273:0.000000:0.000000:0.000000:0.000000
8,:@0.720014:0.438679:0.731942:0.438679:0.731942:0.422245:0.720014:0.422245:0.000000:0.000000
33,6 - 0,2t si   > 8.:@0.684101:0.453712:0.801466:0.453712:0.801466:0.437278:0.684101:0.437278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.767210:0.453712:0.772585:0.453712:0.772585:0.437306:0.767210:0.437306:0.000000
.:@0.723125:0.481434:0.726328:0.481434:0.726328:0.465001:0.723125:0.465001:0.000000
3.  La pista de un aeropuerto tiene una longitud de  :@0.514231:0.598745:0.930815:0.598745:0.930815:0.582076:0.514231:0.582076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3000 :@0.544355:0.615387:0.589563:0.615387:0.589563:0.598718:0.544355:0.598718:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.595270:0.615387:0.610143:0.615387:0.610143:0.598704:0.595270:0.598704:0.000000
. Para  despegar, debe  alcanzar  una :@0.610897:0.615387:0.930808:0.615387:0.930808:0.598718:0.610897:0.598718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
velocidad de al menos 280 :@0.544355:0.632029:0.759229:0.632029:0.759229:0.615360:0.544355:0.615360:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
km/h:@0.760493:0.632029:0.800054:0.632029:0.800054:0.615346:0.760493:0.615346:0.000000:0.000000:0.000000:0.000000
 en los primeros :@0.800179:0.632029:0.930786:0.632029:0.930786:0.615360:0.800179:0.615360:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
segundos.:@0.544355:0.648671:0.622304:0.648671:0.622304:0.632001:0.544355:0.632001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La función de posición viene dada por :@0.544355:0.673537:0.826041:0.673537:0.826041:0.657103:0.544355:0.657103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S  t  = 2t:@0.544355:0.700899:0.609940:0.700899:0.609940:0.684493:0.544355:0.684493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.557940:0.700899:0.573678:0.700899:0.573678:0.684465:0.557940:0.684465:0.000000:0.000000:0.000000
 + 0,95 + 0,11 ,:@0.610180:0.700899:0.743980:0.700896:0.743980:0.684462:0.610180:0.684465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.665733:0.700899:0.671108:0.700899:0.671108:0.684493:0.665733:0.684493:0.000000
2 :@0.671384:0.694832:0.679164:0.694832:0.679164:0.685251:0.671384:0.685251:0.000000:0.000000
t:@0.729710:0.700896:0.735084:0.700896:0.735084:0.684490:0.729710:0.684490:0.000000
3    :@0.735349:0.694832:0.754126:0.694832:0.754126:0.685251:0.735349:0.685251:0.000000:0.000000:0.000000:0.000000:0.000000
t :@0.755501:0.700896:0.764466:0.700896:0.764466:0.684490:0.755501:0.684490:0.000000:0.000000
∈:@0.766399:0.701479:0.781732:0.701479:0.781732:0.683824:0.766399:0.683824:0.000000
 [0, 60] medida en :@0.782100:0.700896:0.930996:0.700896:0.930996:0.684462:0.782100:0.684462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
metros.:@0.544333:0.717538:0.598454:0.717538:0.598454:0.701104:0.544333:0.701104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  Analiza si en 30 segundos el avión alcanza la :@0.545774:0.737293:0.930726:0.737293:0.930726:0.720859:0.545774:0.720859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
velocidad mínima requerida.:@0.575902:0.753934:0.783164:0.753934:0.783164:0.737501:0.575902:0.737501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  Calcula la distancia recorrida en 30 segundos.:@0.545774:0.778795:0.904416:0.778795:0.904416:0.762361:0.545774:0.762361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c.  Calcula la aceleración que alcanza el avión en 30 :@0.545774:0.803657:0.931258:0.803657:0.931258:0.787223:0.545774:0.787223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
segundos.:@0.575902:0.820299:0.650426:0.820299:0.650426:0.803865:0.575902:0.803865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d.  Encuentra qué distancia ha recorrido y qué :@0.545774:0.845161:0.931079:0.845161:0.931079:0.828727:0.545774:0.828727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
velocidad tiene el avión en 40 segundos.:@0.575902:0.861802:0.866900:0.861802:0.866900:0.845369:0.575902:0.845369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e.  Halla a qué distancia del extremo del aeropuerto :@0.545774:0.886664:0.931162:0.886664:0.931162:0.870231:0.545774:0.870231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se encuentra el avión al minuto de haber iniciado :@0.575902:0.903306:0.931259:0.903306:0.931259:0.886872:0.575902:0.886872:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el despegue.:@0.575902:0.919948:0.668575:0.919948:0.668575:0.903514:0.575902:0.903514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Respuesta en el texto:@0.533204:0.356941:0.632908:0.356941:0.632908:0.346483:0.533204:0.346483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ver respuesta en lynk.ec/11m15.:@0.577353:0.939732:0.727508:0.939732:0.727508:0.929274:0.577353:0.929274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000