Kinematics analyse the motion in term of

Question

Accepted Answer

The correct option is (3):
Kinematics is the branch of classical mechanics that is fundamentally concerned with describing the motion of objects without reference to the forces that cause that motion. The language of kinematics revolves entirely around the geometrical aspects of movement, defining how a body changes its position over time. Therefore, the essential terms used to analyze motion in kinematics are position, which leads to displacement, and the time derivatives of displacement, which are velocity and acceleration. Since acceleration describes the rate of change of velocity, and displacement describes the change in position, both are core kinematic quantities required for a complete analysis of motion.

The incorrect option is (1):
Selecting only "Acceleration" as the term of analysis for kinematics is incomplete because it omits other crucial components of motion analysis. While acceleration is a key kinematic quantity, as it represents the rate of change of velocity, it is derived from and related to displacement and velocity. Acceleration tells us how the velocity vector changes over time, but it does not specify the initial or final positions of the object. A full kinematic analysis requires the understanding and calculation of all these interdependent vector quantities, and both displacement and acceleration are included in the foundational kinematic equations. Therefore, stating that kinematics only analyzes motion in terms of acceleration gives an insufficient definition of the subject.

The incorrect option is (2):
Similarly, choosing only "Displacement" is an incomplete answer, even though displacement is the most fundamental kinematic quantity, defining the net change in an object's position. However, the analysis of motion is rarely complete with just the change in position; it requires understanding *how* that change occurs. This 'how' is described by the rate of change of displacement, which is velocity, and the rate of change of velocity, which is acceleration. Kinematic equations specifically link displacement, velocity, and acceleration, demonstrating that all three are indispensable for a comprehensive analysis.

The incorrect option is (4):
The statement "All options are wrong" is incorrect because Option 3, "Both Acceleration and Displacement," accurately identifies two of the three core vector quantities (displacement, velocity, and acceleration) used in the analysis of motion within kinematics. Kinematics is defined by the study of these very geometric properties of motion—the spatial and temporal relationships of position, velocity, and acceleration. Since both acceleration and displacement are included as fundamental variables in kinematic equations, Option 3 correctly represents the scope of kinematic analysis.