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The free fall is uniformly retarded MUA

formulas are valid:
a) vf = gt
b) h = 1 / 2 g t2
c) VF2-VI2 = 2GH
and when you release the body from a height h, we have that vi = 0, then
2GH vf = Root

Note: In the fall of bodies of air resistance increases with the rate of fall. In the first few seconds the resistance is small and grows with increasing speed, until after a certain time is equal to the weight of the body and the acceleration vanishes, ie, from that moment the body reaches its limit speed, continuing the fall with uniform motion.

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Movement (MUR)

Al MUR is also called negative acceleration or retardation (-a)

If v (final) - v (initial) v (final) is less than vinicial, then -a = v (final) - v (initial) / t
hence v (final)-v (initial) =-a \u200b\u200b* t

If v (final) = 0 (stop), then the equation would -v ( initial) =-a \u200b\u200b* tmax
The time it takes for the body to stop is called "maximum time (tmax)
Therefore tmax = vi / a

The maximum space (dmax) is the path by phone from the moment that begins the delay until it stops.
If d = Vm * t ; vi-vf / 2 = Vm , then d = (vi + vf / 2) * t if vf = 0 and t = tmax = vi / a

Substituting d = vi / 2 * vi / 2 = vi2/2a , thus
dmax = vi2/2a
know that vf = vi-a * t ; d = Vm * t , replace in Vm = (Vi + Vf) / 2
Then d = (vi + vi-a * t) / 2 * t
d = (2vi - a * t / 2) * t , this means that the multiplication is: d = (2vi * t - a * t) / 2
ie d = vi * t - a / 2 * t2

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Uniformly Accelerated Motion (MUA)

A Mobile has a uniformly accelerated motion when the body increases or decreases speed kept pace.
if a = delta v / t, then V = V0 + at
The mobile photo ever experience the same gear.

average acceleration a = v (final) - v (initial) / t = delta v / delta t
the average speed is Vm = v (final) + v (initial) / 2
Space traveled during time t will d = Vm * t

know that d = Vm * t and Vm = (vi + vf) / 2 ie d = (vi + vf) / 2 * t , but
vf = vi + at , then
d = (vi + vi + at) / 2 * t , rearranging: d = (2 vi + at) / 2 * t
being d = (vi * t + t2) / 2
therefore d = vi * t + a / 2 * t2 We

other deduction:
know vf-vi = a * t ; d = Vm * t , then vf-vi = a * (d / Vm) Vm
(vf - vi) = a * d but as Vm = (vf + vi) / 2
then (vf + vi) / 2 * (vf-vi) = a * d , this equation is multiplied by 2
(vf + vi) ( vf-vi) = 2ad
VF2 - VI2 = 2ad if vi = 0, then VF2 = 2ad therefore 2ad vf = Root

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Movement Speed \u200b\u200bGraphic Acceleration vs time

accelerated or varied movement is called to any movement whose speed does not remain constant, ie a movement in which the speed increases, decreases (slow) or change direction. This movement is typical of a roller-coaster car.

Acceleration is the change of speed over a period of time: a = delta v / delta t
where v = v (final) - v (initial)
The acceleration of a mobile can be as distance graph vs. time or velocity vs. time.

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In this type of graph, the area under the curve corresponds to displacement (m) of a mobile and obtained by removing the total area dividing it into smaller areas such as squares, rectangles or triangles, which are easily calculable.

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uniform linear motion (MRU)

MUR = uniform rectilinear movement characterized by very regular and therefore predictable over time. Therefore a displacement body performs the same in equal time intervals. The graph distance (x) vs time (t) shows a straight line with equal slope. The slope in this type of graph corresponds to the speed.

The slope (n) is obtained as n = delta and / delta X

yes, we know that Vm = d (final) - d (initial) / t
applying the equation we have to d (final) = d (initial) + vt

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average speed (Vm): is defined as the ratio of the total distance traveled by a body (d) and total time (t) used in this way. Vm = d / t

Average speed (Vm vector): The average speed is the ratio between the movement performed and the total time.

Velocity is a vector quantity because it depends on one direction, while speed is a scalar quantity because it depends on the direction.

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Speed \u200b\u200band Movement Speed \u200b\u200band rest on Movement and Rest

The Movement is a change of body position relative to a reference. It is clear that the direction of motion is relative, because if we go on a plane, traveling companions are seen as at rest relative to us and we can say that they sleep in their seats with ease. However, transparent aircraft fuselage, a person who is outside would say that all passengers and make it move at lightning speed, to the observer outside the aircraft. Thus, the movement depends on the observer. Usually
our reference system is usually the earth and the mountains as the mountains of the Andes are clearly at rest, but if you look at the mountains from the moon would see that it moves at breakneck speed. Career

: the curve or road course that describes the body as it moves from point A to point B. Displacement

: The shift experienced by the body from point A to point B, regardless of the way through. Is represented as a straight line or arrow from A to B

Distance traveled: the path length or distance actually traveled by a mobile.