Motion In A Plane - Introduction

This section introduces the concept of motion in a plane, focusing on the use of vectors to describe qualities like position, displacement, velocity, and acceleration.

Scalars And Vectors

This section classifies physical quantities into scalars and vectors, highlighting their differences primarily concerning direction and magnitude.

Position And Displacement Vectors

This section introduces position and displacement vectors, explaining their significance in describing motion in a plane.

Equality Of Vectors

Two vectors are equal if they have the same magnitude and direction.

Multiplication Of Vectors By Real Numbers

This section discusses the effect of multiplying vectors by real numbers, which impacts their magnitude and direction depending on the sign of the scalar.

Addition And Subtraction Of Vectors — Graphical Method

The section covers the graphical methods for adding and subtracting vectors, emphasizing the triangle and parallelogram laws of vector addition.

Resolution Of Vectors

This section covers the resolution of vectors into components, detailing how any vector can be expressed as a combination of two non-collinear vectors.

Vector Addition – Analytical Method

This section introduces the analytical method of vector addition, contrasting it with the graphical method, while providing formulas for calculating resultant vectors.

Motion In A Plane

This section introduces the concept of describing motion in two dimensions using vectors, focusing on position vectors, velocity, and acceleration.

Position Vector And Displacement

This section introduces the concept of the position vector and how displacement is calculated using the position of a particle in a two-dimensional plane.

Velocity

Velocity represents the rate of change of position and is defined as a vector quantity with both magnitude and direction.

Acceleration

This section defines acceleration in a two-dimensional motion and distinguishes between average and instantaneous acceleration.

Motion In A Plane With Constant Acceleration

This section discusses the motion of an object in a two-dimensional plane under constant acceleration, detailing how velocity and position change over time.

Projectile Motion

Projectile motion is the motion of an object in flight, governed by horizontal and vertical components under the influence of gravity.

Uniform Circular Motion

Uniform circular motion refers to motion in a circular path with a constant speed, where the object's velocity continuously changes due to the change in direction.

Summary

This section distinguishes between scalar and vector quantities, covering their properties and operations.

Points To Ponder

This section contrasts path length and displacement, average speed and velocity, and discusses circular motion and resultant velocities.