Kinematics

Expression Substitution

Expression Substitution is useful when we have to convert a very complicated function into a smple form. We can use Expression Substitution in inverse trigonometric function, differentiation of function, and sometimes even in the integration of function. If we find any of the expressions involved in function, we first need to make the right substitution […]

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Class 11, Equations of motion in a plane, IIT JEE, Kinematics, Physics

Unit vector

Vectors are a type of geometric object with magnitude and direction. Vectors have a beginning point and a terminal point that reflects the point’s end position. Vectors can be subjected to a variety of mathematical operations, including addition, subtraction, and multiplication.  A unit vector is a type of vector that has a magnitude of one. 

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Class 11, IIT JEE, Kinematics, Physics, Relative velocity

Speed-Time Graphs

Our investigation of one-dimensional kinematics has been focused on the various ways in which the motion of objects can be represented mathematically and numerically. Verbal communication, diagramming communication, numerical communication, equational communication, and graphing communication are examples of such methods. When describing motion, velocity versus time graphs is used to help you understand what’s going

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Class 11, IIT JEE, Kinematics, Physics, Relative velocity

Position versus time graphs

Although understanding the numerical aspects of physics with equations and derivations may be tedious, doing it with the aid of graphs can be both engaging and straightforward, making it easier to comprehend what the solution is describing. Graphs play an essential part in Physics since they are used in almost all ideas. Position versus time

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Class 11, IIT JEE, Kinematics, Physics, Relative velocity

Displacement as a Function of Time

To explain displacement as a function of time, we must first derive a displacement expression, commonly known as the second equation of motion. Consider a body moving at v1 at time t1, subjected to constant accelerations, resulting in v2 at time t2. The key assumptions Assuming these assumptions, let’s come up with the following. The

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Class 11, IIT JEE, Kinematics, Physics, Relative velocity

Darcy Weisbach equation

The Darcy–Weisbach equation is an empirical equation in fluid dynamics that connects the head loss, or pressure loss, caused by friction along a given length of pipe to the average fluid flow velocity for an incompressible fluid. Henry Darcy and Julius Weisbach are the names of the equation. There is currently no more accurate or

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Class 11, IIT JEE, Kinematics, Physics, Relative velocity

Average speed and instantaneous velocity

Speed and velocity are two different entities. Average speed is the total path length traversed by an object divided by the time taken for the motion. Instantaneous speed is the speed recorded at a specific point in time.  On the other hand, average velocity implies the change in position of an object (displacement) divided by

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Class 11, IIT JEE, Kinematics, Physics, Relative velocity

Limits Using Definite Integrals

Finding the integral involves the sum of the areas. Similarly, definite integrals are helpful to calculate the area within the start and endpoints between which the area is occupied; this can be said to be the limits. If we take [a, b], as the limit points to find the area of the curve f(x), concerning

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Class 11, IIT JEE, Kinematics, Motion in a straight line, Physics