English, 22.05.2021 16:10, thesarav

Distancia (en metros) que recorre un proyectil disparado desde un avión de combate, se puede describir según la función: () = 8,6t+1,25t2 + 0,6t3, donde t son los segundos transcurridos. A) ¿Cuál es la rapidez instantánea del proyectil a los 3,7 segundos de ser disparado? B) ¿Cuál es su aceleración instantánea a los 4,1segundos de ser disparado?

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answered: samanthablain192

a) La rapidez instantánea del proyectil a los 3,7 segundos de ser disparado es de 42,492 metros por segundo.

b) La aceleración instantánea del proyectil a los 4,1 segundos de ser disparado es de 17,26 metros por segundo al cuadrado.

Explanation:

El enunciado está incompleto puede prestarse a confusión, la forma correcta del mismo se presenta a continuación:

La distancia en metros que recorre un proyectil disparado desde un avión de combate se puede describir según la función $s(t) = 8,6\cdot t + 1,25\cdot t^{2} + 0,6\cdot t^{3}$ , donde son los segundos transcurridos desde el lanzamiento del proyectil. a) ¿Cuál es la rapidez instantánea del proyectil a los 3,7 segundos de ser disparado? b) ¿Cuál es su aceleración instantánea a los 4,1 segundos de ser disparado?

a) La rapidez instantánea del proyectil, en metros por segundo, es la primera derivada de la función distancia con respecto al tiempo, es decir:

$v(t) = \frac{ds(t)}{dt} = 8,6 + 2,50\cdot t + 1,8\cdot t^{2}$ (1)

Si sabemos que $t = 3,7\,s$ , entonces la rapidez instantánea del proyectil a los 3,7 segundos de ser disparado es:

$v(3,7\,s) = 8,6 + 2,50\cdot (3,7\,s) + 1,8\cdot (3,7\,s)^{2}$

$v(3,7\,s) = 42,492\,\frac{m}{s}$

La rapidez instantánea del proyectil a los 3,7 segundos de ser disparado es de 42,492 metros por segundo.

b) La aceleración instantánea del proyectil, en metros por segundo al cuadrado, es la segunda derivada de la función distancia con respecto al tiempo, es decir:

$a(t) = \frac{dv(t)}{dt} = \frac{d^{2}s(t)}{dt^{2}} = 2,50 + 3,6\cdot t$ (2)

Si sabemos que $t = 4,1\,s$ , entonces la aceleración instantánea del proyectil a los 4,1 segundos de ser disparado es:

$a(4,1\,s) = 2,50 + 3,6\cdot (4,1\,s)$

$a(4,1\,s) = 17,26\,\frac{m}{s^{2}}$

La aceleración instantánea del proyectil a los 4,1 segundos de ser disparado es de 17,26 metros por segundo al cuadrado.

answered: Guest

explanation:

related words: : : : : : :

administration noun

the government of a country

affairs

events and activities relating to the government, politics, economy, etc. of a country, region, or the world

the corridors (of power)

the places where people use their political influence and major political decisions are made

government

the process, method, or effects of governing

play politics

to use politics for your own reasons, without caring about the effects on other people

political

relating to politics

political

interested or involved in politics

politically

in a political way

politicize

to bring an issue, organization, way of doing something, etc. to the attention of the public so that it can be discussed

politicize

to make someone more interested and involved in politics

politicking

political activity by someone who is only interested in doing things for their own advantage, not in other people

politics

the ideas and activities involved in getting power in a country or over a particular area of the world

politics

the profession of being a politician

politics

the ideas and activities used by people within a particular group to try to get power

public affairs

political issues that affect most people

public life

work that involves being known to a lot of people, especially in politics, but also in religion and education

public office

a job in the government that you have because you were chosen or elected

public service

work or important positions in the government, or in organizations controlled by the government

representation

in politics, the job of officially people and making decisions for them

sociopolitical

involving a combination of social and political matters

state

the government of a country

answered: Guest

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Distancia (en metros) que recorre un proyectil disparado desde un avión de combate, se puede describ...