Kinematics

Variables of Motion In order to describe the general state of the motion of a physical system, we use the equations of motion. Generally, the equation of motion is governed by the four main variables of position, time, velocity, and acceleration. For example, in the case of motion of a simple pendulum, the equation of […]

A system of equations consists of two or more linear equations that possess more than one variable. A solution to a system of equations is typically the set of values capable of solving the linear equations and satisfying the system of equations simultaneously.  A system has two major properties: It consists of several functions that

A system of linear equations is a set of two or more linear equations. They are typically made up of two or more variables such that all the equations can be considered simultaneously and can represent a single problem with two or more unknown variables.  System of linear equations solutions refers to a set of

The symbol A-1 denotes the inverse of a matrix. It is only when the whole matrix is A. Many formulas are there that will help you calculate the matrix inverse. But before getting the inverse of a matrix, we must know about the points, i.e., adjacent and determinants. The matrix inverse is the type that

To depict the motion of an object in two dimensions (a plane) or three dimensions (space), we must use vectors to represent the physical quantities listed above. As a result, learning of vectors is required first. What exactly is a vector? How do you multiply, add, and subtract vectors? This will be learned so that

Kinematics is a field of mechanics concerned with the study of a body’s motion without considering the source of the motion. For example, we may state that the body is moving with acceleration without explaining the origin of the acceleration or the amount of force it is experiencing, and we may calculate other characteristics such

Introduction Kinematics is the science that describes the movement of objects using words, diagrams, numbers, graphs, and equations. Kinematics is a part of mechanics. The goal of any study of kinematics is to result in sophisticated mental models which can be used to describe (or explain) the motion of real objects. Kinematics is beneficial in

The first-order derivative is the derivative of a function determined by one variable or the derivative of a dependent variable with respect to an independent variable. The higher-order derivatives are derivatives at a point chosen by two variables. For instance, if you take the slope of a tangent line at some point, such as in

In three-dimensional geometry, lines that intersect the x, y, and z axes are referred to as the direction cosines of the line. They are defined as follows: To preserve consistency, the letters l, m, and n are often employed to denote these directional cosines.   Cosine angles may be determined only after the angle formed

Everything in this world is made up of different shapes. Some are definite, while some are indefinite in manner. Now, let’s look into the shapes to determine the present area. For definite shapes, we can apply formulas to find the area. However, for indefinite shapes, we need to divide the shapes into some numbers to