Un cuerpo cae libremente desde 845m de altura.¿cuanto demora en llegar al suelo y con que rapidez lo hace?

Explanation:

A body falls freely from 845m high, how long does it take to the body to reach the ground and with which velocity?

This problem is a good example of Free Fall, where the main condition is that the initial velocity must be zero , and the main equations for this situation as follows:

(1)

(2)

Where:

is the final height of the body

is the initial height of the body

is the initial velocity of the body

is the time

is the acceleration due to gravity on Earth

Having this clear, let's start finding from (1):

(3)

(4)

(5)

Substituting (5) in (2):

(6)

Finally:

Note the velocity is negative because of the downward trajectory of the body due to the free fall.

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