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Lostsunrise [7]
3 years ago
13

Un buzo profesional está explorando el fondo marino a 48 metros bajo el nivel del mar (−48 m). Al volver a la superficie del mar

(0 m), debe hacer pausas de seguridad que evitan cambios bruscos de presión: debe subir nadando verticalmente 8 metros en un minuto, detenerse durante 5 minutos, luego volver a subir 8 metros en un minuto, y así hasta llegar a la superficie.
Mathematics
1 answer:
Maru [420]3 years ago
4 0

Respuesta:

31 minutos para llegar a la superficie del mar.

Explicación paso a paso:

Dado que :

Profundidad inicial = 48 m

8 metros = 1 minuto

Tiempo de parada por cada minuto de nado vertical = 5 minutos

Por lo tanto,

1 minuto = (48 - 8) = 40 metros

Tiempo de parada = 5 minutos

1 minuto = (40 - 8) = 32 metros

Tiempo de parada = 5 minutos

1 minuto = (32 - 8) = 24 m

Tiempo de parada = 5 minutos

1 minuto = (24 - 8) = 16 m

Tiempo de parada = 5 minutos

1 minuto = (16 - 8) = 8 m

Tiempo de parada = 5 minutos

1 minuto = 8 - 8 = 0 (superficie del mar)

(1 * 6) minuto + (5 * 5) minuto

6 + 25 = 31 minutos

31 minutos para llegar a la superficie.

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Answer:

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[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-20te^{-0.6t}}{0.6}+\frac{20e^{-0.6t}}{(0.6)^2}]^{10}_{0}

[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-200e^{-6}}{0.6}+\frac{20e^{-6}}{(0.6)^2}]+\frac{20}{(0.60^2}

[\int{20te^{-0.6t}} \, dt]^{10}_0=\frac{20(1-e^{-6}}{(0.6)^2}-\frac{200e^{-6}}{0.6}

[\int{20te^{-0.6t}} \, dt]^{10}_0\sim {54.49}

Substitute the value in 1

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