Formula de V cuadrada.docx
mg−b v 2=ma m dv =mg−b v 2 dt dv b =g− v 2 dt m dv =dt b 2 g− v m v ∫ 0 t dv =∫ dt b g− v 0 m g− −m 2bv b 2 v
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- Author / Uploaded
- Ricardo Gonzalez
Citation preview
mg−b v 2=ma m
dv =mg−b v 2 dt
dv b =g− v 2 dt m
dv =dt b 2 g− v m
v
∫ 0
t
dv =∫ dt b g− v 0 m
g−
−m 2bv
b 2 v m
∫ g
du =t u
ln ¿
(
ln 1−
b 2 −2 bv v = t mg m
)
b 2 ln 1− v =e mg
(
)
2
−b v t m
b v2 =e mg
−2 bv t m
b v2 =1−e mg
−2 bv t m
1−
v=
√
(
mg 1−e 2 bv
−2bv t m
)
Estudiante: Ricardo González Cédula: 8-959-373 Grupo: 1II-111