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where k is a positive constant and g is the acceleration due to gravity, is a model for the velocity v of a body of mass m that is falling under the influence of gravity. because the term −kv represents air resistance, the velocity of a body falling from a great height does not increase without bound as time t increases. use a phase portrait of the differential equation to find the limiting, or terminal, velocity of the body.

Respuesta :

Because the term −Kev. represents air resistance, the velocity of a body falling from a great height does not increase without bound as time t increases.

What is resistance?

In 1609, utilizing this early form of the telescope, Galileo turned into the principal individual to record perceptions of the sky made with the assistance of a telescope. He before long made his most memorable galactic revelation. Galileo Galilei (1564-1642) is viewed as the dad of present-day science and made significant commitments to the fields of physical science, stargazing, cosmology, arithmetic and reasoning. Galileo designed a superior telescope that let him notice and depict the moons of Jupiter, the rings of Saturn, the periods of Venus. Galileo saw in late 1609 that the outer layer of the Moon isn't smooth. Early the following year, he noticed the four biggest moons of Jupiter. Later in 1610, he noticed the periods of Venus a proof of heliocentrism as well as Saturn, however he thought the planet's rings were two different planets.

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