Kinematics aims to provide a description of the spatial position of bodies or systems
of material particles, the rate at which the particles are moving (velocity), and the rate at
which their velocity is changing (acceleration). When the causative forces are disregarded,
motion descriptions are possible only for particles having constrained motion namely,
moving on determinate paths. In unconstrained, or free, motion, the forces determine the
shape of the path. In order to describe the motion of an object, first describe its position
where it is at any particular time. More precisely, it is needed to specify its position relative
to a convenient reference frame. Earth is often used as a reference frame, and we often
describe the position of objects related to its position to or from Earth. Mathematically, the
position of an object is generally represented by the variable x.
Dyke (2002) stated that there are a variety of quantities associated with the motion of
objects such as displacement (and distance), velocity (and speed), acceleration, and time.
Knowledge of each of these quantities provides descriptive information about an object's
motion. There are kinematic equations which is a set of four equations that can be utilized to
predict unknown information about an object's motion if other information is known. The
equations can be utilized for any motion that can be described as being either a constant
velocity motion (an acceleration of 0 m/s/s) or a constant acceleration motion. They can
never be used over any time period during which the acceleration is changing. Each of the
kinematic equations include four variables. The values of three of the four variables are
known, then the value of the fourth variable can be calculated. In this manner, the kinematic
equations provide a useful means of predicting information about an object's motion if other
information is known.
Although displacement is described in terms of direction, distance is not. Distance is
defined to be the magnitude or size of displacement between two positions. Note that the
distance between two positions is not the same as the distance traveled between them.
Distance traveled is the total length of the path traveled between two positions. Distance has
no direction and, thus, no sign. According to Corben (2001), in kinematics it is nearly always
deal with displacement and magnitude of displacement, and almost never with distance
traveled. One way to think about this is to assume to marked the start of the motion and the
end of the motion. The displacement is simply the difference in the position of the two marks
and is independent of the path taken in traveling between the two marks. The distance
traveled, however, is the total length of the path taken between the two marks. Displacement
is an example of a vector quantity. Distance is an example of a scalar quantity. A vector is
any quantity with both magnitude and direction.
In recent studies, for a particle moving on a straight path, a list of positions and
corresponding times would constitute a suitable scheme for describing the motion of the
particle. A continuous description would require a mathematical formula expressing position
in terms of time. When a particle moves on a curved path, a description of its position
becomes more complicated and requires two or three dimensions. In such cases continuous
descriptions in the form of a single graph or mathematical formula are not feasible. The
position of a particle moving on a circle, for example, can be described by a rotating radius of
the circle, like the spoke of a wheel with one end fixed at the center of the circle and the other
end attached to the particle. The rotating radius is known as a position vector for the particle,
and, if the angle between it and a fixed radius is known as a function of time, the magnitude
of the velocity and acceleration of the particle can be calculated. Velocity and acceleration,
however, have direction as well as magnitude; velocity is always tangent to the path, while
acceleration has two components, one tangent to the path and the other perpendicular to the
tangent.
Many studies discussed that motion is not with constant velocity nor speed. While
driving in a car, continuously speed up and slow down. A graphical representation of motion
in terms of distance vs. time, therefore, would be more variable or curvy rather than a straight
line, indicating motion with a constant velocity as shown below.
According to Faber (2000), velocity is constantly changing, it can be estimated in
different ways. One way is to look at our instantaneous velocity, represented by one point on
curvy line of motion graphed with distance as against time. In order to determine velocity at
any given moment, the slope should be determined at that point. On the other hand,
acceleration is a vector that points in the same direction as the change in velocity, though it
may not always be in the direction of motion (Drazin, 2000). For example, when an object
slows down, or decelerating, its acceleration is in the opposite direction of its motion.
Many studies emphasized that the motion of an object can be depicted graphically by
plotting the position of an object over time. This distance-time graph can be used to create
another graph that shows changes in velocity over time. As acceleration is velocity in m/s
divided by time in s, it can further derive a graph of acceleration from a graph of an object’s
speed or position. In using the kinematics equations, can make some mathematical
assumptions. When an object in motion moves through the air, air resistance slows the
object’s speed. When using the equations of motion, it is assumed that air resistance is
insignificant enough to ignore. The second assumption we can make when using these
equations involves acceleration. It is already known that acceleration is constant for
kinematics problems, which means that the average acceleration is equal to this value.
Objects in free fall, or projectiles, all experience the same acceleration, regardless of their
mass. This means that whenever an object is thrown, dropped, or falling, it moves with a
constant downward acceleration of equation. It is important to remember that this value is a
magnitude. If it is assumed upwards to be a positive direction or y value, then an object
falling downward will have a negative acceleration of equation.
Furthermore, when kinematics is applied to the atmosphere, refers to the description
of both air motion and the motion of patterns describing other properties of air, such as
moisture content, temperature, and pressure (Singh, 2001). This description is without regard
to forces and other physical processes that cause the motions. Air motion itself is an
important causal factor for many of the pattern changes of the other properties of the air.
Daily sequences of weather maps showing horizontal wind flow and the movement of
patterns in pressure and temperature dramatize the kinematic perspective of the atmosphere.
Conclusion
Recent studies highlighted that physics instruction produces only little changes in
students’ conceptual knowledge. The students may know how to use formulas and calculate
certain numerical problems but they still fail to comprehend the physics concepts. The
mentioned studies indicate that instruction can only be effective if it takes into account the
student preconceptions. The proper concepts have to be learned but also the misconceptions
have to be unlearned (Wagner & Vaterlaus, 2011).