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#### Definition Of kinematics: Distinguish The Difference Between Scalars And Vectors

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### Define kinematics?

Kinematics can be defined as the branch of physics and sub-division of classical mechanism which is concerned about geometrical motion of body and system. It is merely without any consideration of the involved force. Kinematics aim to provide a complete description for spatial position of the given bodies or system for material particles. It merely focuses on rate at which the particles are moving and change in its velocity. For a given particle moving on straight line, the corresponding position and time constitute will be considered to be suitable scheme that describes the overall motion of any given particle. A mathematical equation will be required for expressing the position with respect to time.

If the given particle moves on curved path, then description of it position will become much more complicated that requires two or more dimension. In this kind of cases, the description is provided in form of graph or mathematical formula which is not feasible. The position of the particle in a circle can be described by rotation radius of the circle like spokes of the wheel. It comes up with one end which fixed at the centre, and another is attached to the particle. Rotating radius is considered to position vector of the particle. Both velocity and acceleration come up with direction and magnitude where the velocity is found to be tangent to the given path. Acceleration comes up with two components that are one tangent to the path, and second one is perpendicular to the tangent.

### Evaluate displacement within a frame of reference?

Ans: There are mainly two choices which the individual need to make for defining their position with respect to variable X.  Individual need to decide where the X=0 and where direction will be positive. It is completely referred to the coordinate system or choice of frame of reference. As long it is consistent, the given frame is found to be valid. For example, consider the situation of sitting in a train in a station when the passenger inside it notice that station is moving backwards direction. Most of the passenger will claim the fact that they fail to notice that the train is moving. But for the passengers within the train will notice that station will start moving. It merely highlights that a third party arbitrary choice that goes on choosing the coordinate system. Valid frames of reference aim to differ from each other, which is achieved by moving each other by relative to each other. It can become strange to make use of coordinate system which is moving relative to the earth. For some instance, the frame of reference which is moving along the train can be considered to be convenient for describing various things which are taking place on the train. Frame of reference is considered to be vital for describing the displacement of objects.

### Distinguish the difference between scalars and vectors

Ans: Scalar Quantity mainly aims to define quantity that comes up one element in the given number field. It helps in attachment of unit of measurements like degree or even meters. The quantity aims to exhibit the magnitude or even size. It comes up with numerical value, which is found in the measurement unit. The suitable example is speed of the car, body temperature and lastly distance between two locations. It follows the same rules of ordinary algebra which is needed for combining scalar quantities like scalar, which can be added and multiplied.

Mathematical quantity requires two independent characteristics that are magnitude and direction. Magnitude aims to represent size of quantity, absolute value and direction that represent side that is East, West, North and south. Displacement in between two points that is velocity and acceleration of moving body that is force and weight. Vector aims to follow triangle law for addition between quantities. Arrow is used in it for indicating vector quantity which is placed over and next to symbol which donates vector.

 Scalar Quantity Vector Quantity Scalar Quantity is mainly used for describing quantity, which comes one characteristic that are magnitude. Vector is a physical quantity that requires both magnitude and direction. Scalar Quantities are used for explaining single dimension quantities only. Vector is used for explaining multi-dimensional quantities. Scalar quantities only make changes in the magnitude Vector is mainly used for making changes in both the aspects that is magnitude and direction. Scalar quantity aim to follow ordinary rules of algebra for function like addition, multiplication and subtraction Vector aims to follow vector rules for performance of operation.

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