Kinematics Concepts

   Sunday, July 19, 2020   

Kinematics Concepts include all Definitions, Laws, Diagrams, Rules, Examples, Results etc.

Page 1

Frame of reference | Point Objects | Distance | Displacement | Distance v/s displacement | Calculating distance in one-dimensional motion | Displacement | Numerical Problems on distance and displacement | Distance in two-dimensions | Displacement of an Object Moving in two dimensions where direction changes after finite distance

Page 2

Introduction to Distance | Displacement of an Object Moving in two dimensions | Speed | Uniform Speed | Speed by distance moved and time taken by an object | Odometer | Speedometer | Uniform motion | Uniform Motion | Non-Uniform Motion

Page 3

Difference between uniform and non-uniform motion | Non-uniform Motion | Uniform v/s Non-uniform motion | Velocity | Uniform motion | Average speed | Calculating average speed | Average velocity | Non-Uniform Speed and Velocity | Instantaneous speed

Page 4

Instantaneous velocity | Average Velocity | Uniform acceleration | Define and calculate instantaneous acceleration | Average Acceleration | Understand Acceleration as Second Derivative of Displacement | Acceleration as a rate of change of velocity with respect to displacement | Definition of Jerk | Distance in nth second(distance-time graph) | 

Average velocity from a displacement-time graph

Page 5

Higher order problems on displacement-time graphs | Average velocity from velocity-time graph | Acceleration from velocity-time graph | Displacement from velocity-time graph | Velocity-time graph | Velocity Time graph for rest, uniform motion and uniform acceleration | Area under acceleration time graph | Velocity time graph for motion described piece-wise | Interpretation of acceleration-time graph | Acceleration Vs Time Graph for piece-wise execution of motion

Page 6

Velocity-displacement graph | Feasibility of a graph | Inferring motion plots from given plots | Problems on vectors | Acceleration in Motion of Bodies | Relation between position vector and velocity vector | Relation between acceleration vector and velocity vector | First equation of motion | Second equation of motion | Third equation of motion

Page 7

Constant acceleration in two dimensions | Constant acceleration in three dimensions | Third equation of motion | Distance Traveled in nth second | Finding Stopping Distance | Solving problems involving more than one equation of motion | Problems Involving First Equation of Motion | Problems on second equation of motion | Problems on Third Equation of Motion | Use of first equation of motion

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Missing Variables in Problem involving second equation of motion | Finding Missing Variables of Third Equation of Motion | Problems Involving more than one Equation of Motion | Total distance traveled when velocity and accelerations are in opposite directions | Motion in different acceleration for different time intervals | Motion involving more than one uniform acceleration | problem on acceleration as a function of velocity | problem on acceleration as a function of displacement | Relative Displacement | Motion of a body

Page 9

Relative motion of a body | Triangle Law of Vector addition in Relative Motion | Relative Acceleration | Relative Velocity | Interpreting Relative Motion Through Graphs | Problems on relative motion between point objects | Relative Motion between finite length objects | Relative motion between point objects moving in two dimensions | Objects moving upstream or downstream in a river | Problems on objects crossing a river

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Object crossing a river where relative velocity is inclined to river velocity | Problems on objects crossing a river to reach certain point on the opposite bank | Problem Analogous to Objects moving upstream or downstream in a river | Relative motion in river crossing like situations | Rain-Man Problem | Rain-Man Problem where rainfall is inclined to man's velocity | Velocity of approach and separation | Distance of closest approach | Heavy and light objects falls together on the earth surface | Interpret conclusions by observing graphs

Page 11

Maximum Height of a Projectile | Equations of Motion under free fall | Problem on two dimensional motion | Problems on freely falling objects | Problems on motion under gravity including collisions with the ground | Projectile Motion | Understanding displacement,velocity and acceleration vectors in projectile motion | Derive formula for various parameters for projectile from certain height above the ground | projectile motion | Range of a Projectile Motion

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Time of Flight of a Projectile | Maximum Height of a Projectile | Average Velocity of Projectile | Range of a Projectile | Relative Position of a Projectile with respect to a vertical obstacle | Angle of Projection of a Projectile | Magnitude of velocity at any point in projectile motion | Angle of Projection of a Projectile with horizontal | Radius of curvature of projectile at a point | Equation of trajectory

Page 13

Equation of Parabolic Trajectory | Path length of a projectile | Problem based on projectile motion on | Projectile Projected from certain height above the ground | Projectile clearing multiple obstacles | Projectile on an inclined Plane | Relative motion between an object in linear motion and a projectile | Relative Motion between freely falling body and a projectile | Relative motion in projectiles | Problems on condition of collision between a projectile and an object in uniform motion

Page 14

Problems on relative motion between two projectile projected