Un avión vuela con una velocidad de 600km / h y una altura de 2km sufre un accidente y se le cae un motor ¿Q TIEMPO CAE EL MOTOR EN LLEGAR AL SUELO ¿ q distancia cae?

<img src="https://tex.z-dn.net/?f=Hola~~Yuli" />

<img src="https://tex.z-dn.net/?f=Vamos~hacer~una~peque%5Ctilde%7Bn%7Da~ilustraci%5Cacute%7Bo%7Dn%3A" />

<img src="https://tex.z-dn.net/?f=.~~~~~~~~~~~~~~%20%20%20y_%7Bo%7D%20%3D2km%3D2000m~~~~V%20_%7Bo%7D%20%3D0%20%5C%5C%20%5C%5C~~~~~~~~~~~~~~~~%20%7C%5Chookrightarrow~~%5Chookrightarrow~~%5Chookrightarrow......avion%20%5C%5C%20~~~~~~~~~~~~~~~~%7C%20~~%5CBox%20%5C%5C%20~~~~~~~~~~~~~~~~%7C%20%5C%5C%20~~~~~~~~~~~~~~~~%7C~~~~~~%5CBox~~~~~~~~~t%3D%3F%20%5C%5C%20~~~~~~~~~~~~~~~~%7C~~~~~~~~~~~~~~~%20~~%20~g%3D9%2C8m%2Fs%5C%C2%B2%20%5C%5C%20~~~~~~~~~~~~~~~~%7C~~~~~~~~~~~%5CBox%20%5C%5C%20~~~~~~~~%5Cxrightarrow%7B~y%3D0~~~~~~~~~~~~~~~~%5CBox~~~~~~~~~~~%20V%3D%3F~~~~~~~%7D%20%5C%5C%20~~~~~~~~~~~~Xo%20%3D0~~~~~~~~~~~~~%20~~~X%3D%3F%5C%5C%20~~~~~~~~~~~~V%20_%7Bx%7D%20%3D600km%2Fh%3D166%2C7m%2Fs%20%5C%5C%20" />

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<img src="https://tex.z-dn.net/?f=Use~sempre~la~gravedad~negativo%28-%29~con~la~referencial%3A%20%5C%5C%20Usaremos~dos~f%5Cacute%7Bo%7Drmulas~que~son%3A%20%5C%5C%20%20%5C%5C%20%5Cboxed%7By%3D%20y_%7Bo%7D%20%2BVo.t%20%5Cpm%20%20%5Cfrac%7B1%7D%7B2%7D%20g.%20t%5E%7B2%7D%20%7D----%5C%20%5Ctextgreater%20%5C%20%28I%29%20%5C%5C%5Cboxed%7B%20x%3D%20x_%7Bo%7D%20%2Bvt%7D--------%5C%20%5Ctextgreater%20%5C%20~%28II%29" />

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<img src="https://tex.z-dn.net/?f=Datos%3A%20%5C%5C%20Yo%3D2000m%20%5C%5C%20Vo%3D0%20%5C%5C%20Y%3D0%20%5C%5C%20g%3D9%2C8m%2Fs%5C%C2%B2%20%5C%5C%20%20V_%7Bx%7D%20%3D%3F%20%5C%5C%20V%20_%7Box%7D%20%3D0%20%5C%5C%20X%3D%3F%20%5C%5C%20Xo%3D0" />

<img src="https://tex.z-dn.net/?f=Respondiendo~%20la~%20primera%20~pregunta%3A%20%5C%5C%20Calculando~el~tiempo~%28t%29~cuando~cae~el~motor%20%5C%5C%20%20%5C%5C%20Reemplazando~datos~en~la~formula~%28I%29~tenemos%3A%20%5C%5C%200%3D2000%2B0.t-%20%5Cfrac%7B1%7D%7B2%7D%289%2C8%29.%20t%5E%7B2%7D%20%20%20%5C%5C%20%20%5C%5C%20-2000%3D-%20%5Cfrac%7B1%7D%7B2%7D%289%2C8%29.t%5C%C2%B2%20%20%5C%5C%20%20%5C%5C%20-4000%3D-9%2C8t%5C%C2%B2~~~---%5C%20%5Ctextgreater%20%5C%20multiplicamos~por~%28-1%29%2C%20tenemos%3A%20%5C%5C%20%20%5C%5C%204000%3D9%2C8t%5C%C2%B2%20%5C%5C%20%20%5C%5C%20t%5C%C2%B2%3D%20%5Cfrac%7B4000%7D%7B9%2C8%7D%20%20%5C%5C%20%20%5C%5C%20" />

<img src="https://tex.z-dn.net/?f=%20t%5E%7B2%7D%20%3D408%2C16%20%5C%5C%20%20%5C%5C%20t%3D%20%5Csqrt%7B408%2C16%7D%20%20%5C%5C%20%20%5C%5C%20%5Cboxed%7B%5Cboxed%7Bt%3D20%2C2s%7D%7D---%5C%20%5Ctextgreater%20%5C%20tiempo~que%20~cae~el~motor" />

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<img src="https://tex.z-dn.net/?f=Ahora~usaremos~la~formula~%28II%29~reemplazaremos~los~datos~y%20el%20valor%20%5C%5C%20del~tiempo%28t%29%2C%20vea%3A%20%5C%5C%20%20%5C%5C%20x%3D0%2B166%2C7%2820%2C2%29%20%5C%5C%20%20%5C%5C%20%5Cboxed%7B%5Cboxed%7Bx%3D3367%2C34m%7D%7D----%5C%20%5Ctextgreater%20%5C%20la~distancia~que~cae" /> = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = Espero te sirva, saludos!