Equations of Motion(and their derivation)

There are three equations of motion:-

Explanation:-

This equation is used to find the final velocity of a body or latest velocity of body or current velocity of body. This equation is known ass first equation of body.
Whenever a body starts to move it have some initial velocity and when after some interval of time t it have some change in velocity, after which its velocity becomes So above equation is for final velocity. Now see its derivation.
Change in velocity ∆v is equal to,

(2)

This is equation is used to find the distance covered by a body having initial velocity Vi and after time t.

Consider a car moving with initial velocity Vi and final velocity Vf, then it would have average velocity will be,

 

(3)

In this equation there is distance , acceleration, final velocity and initial velocity are related.

We could find one, if we know other.

According to first equation of motion,

What is motion? Types of motion

Motion:-

When a body does not change its position with time it is said that it is in rest but when it changes it is called that body is in motion.

Types of Motion:-

There are few basic types of motion:

1. Translational motion

2. Rotational motion

3. Random motion

4. Circular motion

Translational:-

A body covering some distance while moving whether it is on straight line or curved line, but distance covering is necessary. it is known as translational motion.

i.e. You driving a car towards your destination the road sometimes will not be straight turns will come but you will cover distance.

Rotational:-

A body moving on its axis and its all parts have different directions. no matter in which direction it moves but move on its axis is known as rotational motion.

i.e. A beblayde moving on its axis, a fan blades moving.

Random Motion:

When a body moves randomly, it is known as random motion.
Random motion means when body doesn't follow a specific path just a zig zag type path to move then this movement is known as random motion.

i.e. Fly, Mosquitoes etc,  flying around you randomly is an example of random motion.

Circular Motion:

When a body moves in a circular path, it is known as circular motion.

it is simple type of motion when body moves in a closed circular path it is known as circular motion.

i.e. a racing car moving on a circular racing track.