# Free Fall: Straight Line Movement With Constant Acceleration

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Free fall: straight line movement with constant acceleration

## ABSTRACT

The description of the free fall remains directOne of the ideas raised, the essence of researchers who gave way to the discovery of how any object that is dropped into the same speed is maintained, regardless of their weight, this was verified thanks to the help of large researchers: Galileo Galilei as one of the most important and Leonardo da Vinci to mention some of them.

## Freefall

### Free fall objects

This can be described as a vertical movement of any free moving object, that is, we can when an object is launched with an initial speed equal to zero.

Theorem 1: If a moving particle, moving evenly at constant speed, crosses two distances, the required time intervals are one for the other in the relationship of these distances.

By dropping an object we can only understand it through the unique interaction of gravity (acceleration of gravity). Maintaining its style of speed variation, which experiences any type of more subject to a constant force that only depends on the intensity and force that is applied in said object, which considering all those possibilities the only one that can exert this force is gravity isor the force of attraction to earth.

This force of attraction that can be generated by a constant movement is only directed down whose value can vary according to the position in which the object is located from the moment it will have its fall, the force that is going toBeing applied will be 9.8 m/s, which in turn is also an acceleration of gravity being the same for all objects and is independent of the masses of these objects.

### Fundamental laws of free fall

• Every body that falls freely has a vertical trajectory.

If we apply a force parallel to its veloc.r.or.v.). If, in addition, the body was at rest, the movement will occur in the direction and meaning of said force.

By having an ascending or descending movement by means of a uniformly accelerated rectilinear movement (M.r.or.a), we can guide ourselves through a fixed reference system which can be handled by coinciding with the reference system so that the movement axis of the object coincides with its trajectory.

With this we can get:

• This object will not have any kind of movement through the axis of the "x" therefore its speed will be of Ax = 0.
• This object will have movement through the axis of the "y" therefore it is one (m.r.or.a), its acceleration will be Ay = 0.

Therefore, if we apply Newton’s second law to verify how the forces in which we describe and the movements can be established as follows.

∑Fy = m⋅a ⋮ ∑Fx = 0

• The fall of the bodies is a uniformly accelerated movement

It is when the object through the axis in which no obstacle is found on its path, that movement that describes the object can be varied or accelerated.

• Therefore, the trajectory movement will be carried out in a straight line being its normal zero acceleration.
• Its instantaneous speed can change its module uniformly: it can eventually increase or decrease according to the time unit in which it is being presented directly.
• Its tangential acceleration is constant.

In a proportional way a direct connection between the average acceleration and the instantaneous acceleration (A = am) can be established.

Although the movements are indistinctly separated or being in contrary directions it can be seen that from the point of view of physics they are (m.r.or.a).

• All bodies fall with the same acceleration

It was discovered by Galileo, later perfected by Isaac Newton and in the hands of Albert Einstein provided a mechanics of the Cosmos mechanics. It was one of the greatest mysteries of physics – all bodies fall with constant acceleration – the law of gravity or law of the fall of bodies.

Any object that has a direct relationship to the fall in any type of vacuum will be maintained with constant acceleration, this mention creates the concept of law of gravity. We will mention in a direct way that law that consists exactly;It is part of a small reaction that creates a norm in all the objects that fall without having an obstacle in its path, it will always be the same regardless of its weight as well as with a constant acceleration.

The easiest way to understand all this type of concept is to know a mechanic called derived. The object that maintains a relationship with that void and not with that world that is not so familiar to us is precisely to distinguish because an object differs in its fall from another according to how it behaves with opposition to the air.

Approximately 400 years ago, when everyone thought that heavy bodies fell faster than the light ones, Galileo realized that in void all bodies would fall at the same speed. Of course, Galileo couldn’t get a vacuum, but he could imagine one. He painted a heavy body attached to a light (by a rope), this composite body would fall more in a hurry or more slowly than the heavy body only? If the light body fell more slowly, it would retard the fall of the heavy body, but at the same time a compound body has to weigh more than only one heavy, therefore, the compound body would have to fall more in a hurry than the heavy body alone, but neverslower. It is obvious that the idea that a heavy body falls faster only leads to an inescapable contradiction.

The only permanent option was to maintain that the bodies or objects fell to the same speed if air resistance is suppressed. To have a clear idea we should check what speed that would make the objects reach the ground at the same time. Leonardo da Vinci, had proposed 100 years before Galileo Galilei, creating the theory that an object would travel greater distances to higher time intervals, this idea was raised since he had his dream of being able to fly.

Subsequently, he got another theory that said that each time interval was maintained directly related to each unit of whole numbers. Galileo Galilei adopted Leonardo Per he.

## conclusion

It can be understood that through the laws in which our universe is submerged one of the most essential is handled, the law of gravity that helped us discover how each and each of the objects that are directly related to each other, those ideas formed thatThey remained in ancient times were wrong to what our eyes saw and for this to demonstrate, there was the help of great researchers who considered that that force that interacted with the objects did not depend on the weight of those and that the interaction could be generatedto both objects to reach the ground at the same time.

That had to be demonstrated, the first to raise that idea of the relationship between the weight of the objects, the gravity and the resistance of the air was Leonardo da Vinci that 100 years before Galileo Galilei, forged by his ideas of wanting to fly through the air raisedThe hypothesis that the free fall of the body was related to the cardinality of numbers, which 100 years later Galileo Galilei managed to demonstrate through one of his greatest inventions that the relationship of the fall of the bodies was proportional to the cardinality ofodd numbers.

In this case, it agreed that the free fall maintained its cardinality relationship regardless of its weight, and although the plane in which the experiment was carried out varied according to the axis of the “y” this did not change the relationship at allof time that impressed Galileo.

• Referenced bibliography
• Ponce, c. (August 17, 2016). Galileo Galilei and his free fall law. Recovered from https: // bestiariatopologico.Blogspot.com/2016/08/Galileo-Galilei-Y-Su-Law-De-Caida-Libre.HTML
• Rivera, j., Muro c. (November 12, 2015). Law of the fall of the bodies (part 1 of 2). Recovered from http: // ntrzacatecas.com/2015/11/12/law-of-la-caa-de-los-body-part-1-2/
• Fernández, J. (s.F.) Equations uniformly accelerated rectilinear movement (m.R.OR.A.). Recovered from https: // www.Fisicalab.com/section/Mrua-Ecuations#Contents

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