### Equation of Motion in one dimension Lecture 4 Csir Net Physics

The study of motion in one dimension involves understanding how objects move along a straight line. This fundamental aspect of mechanics is essential for solving problems in physics and is particularly important for exams like the CSIR NET Physics/JRF.

#### Basic Concepts

**Displacement**(s): Displacement is a vector quantity that refers to the change in position of an object. It has both magnitude and direction.

**Velocity** (v): Velocity is the rate of change of displacement with time. It is also a vector quantity.

**Acceleration** (a): Acceleration is the rate of change of velocity with time.

#### Equations of Motion for Uniformly Accelerated Motion

In one-dimensional motion with constant acceleration, the following three equations are used to relate displacement, velocity, acceleration, and time.

#### Applications of Equations of Motion

**Free Fall:**When an object falls freely under gravity, its motion can be described using these equations, with a replaced by g (acceleration due to gravity).**Projectile Motion:**The horizontal and vertical components of projectile motion can be analyzed separately using these equations.**Kinematic Problems:**These equations are used to solve various problems involving initial and final velocities, acceleration, time, and displacement.

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By mastering these equations and understanding their derivations and applications, students can effectively analyze and predict the motion of objects in one-dimensional scenarios, a crucial skill for the CSIR NET/JRF Physics exam.