# MOTION

# MOTION

## MOTION , THERE DIFFERENT TYPES, AND EQUATIONS OF MOTION .

**Motion –**

** Rest and Motion** -An object is said to be in rest , if body does not change its position with time , with respect to surroundings . An object is said to be in motion , if body changes its position with time , with respect to surroundings .

**Motion of the body can be of following type **–

– In rectilinear motion a point mass body moves along a straight line . but in translator motion a body which is not a point mass moves in a straight line path.__Rectilinear / Translatory motion__

– In circular motion a point mass object moves on a circular path. But in rotatory motion a body which is not a point mass moves on a circular path .__Circular or rotatory motion__

– oscillatory motion is a type of motion in which a body moves to and fro or back and forth repeatedly about a fixed point. If in the oscillatory motion, amplitude is very small then the motion of the body is said to be in vibratory motion.__Oscillatory or vibratory motion__

Motion in one , two and three dimensions-

– The motion of a body is said to be in one dimensional if only one co-ordinate specify the position of the object in the given time. In such a motion body moves along a straight line__One dimensional motion__**Two dimensional motion**– The motion of a body is said to be in two dimensional if any two coordinate specify the motion of the body.– The motion of a body said to be in three dimensional if all three coordinates specify the motion of the body . in such kind of motion body may cover a specific motion or irregular motion.__Three dimensional motion__

__ __

__UNIFORM AND NON-UNIFORM MOTION- __

** Uniform motion –** If a body covers equal distance in equal interval of time then it is said the motion of a body is uniform .

__Some important features of the uniform motion is following-__

(a) For a uniform motion ** **along a straight line in a given direction , the distance and magnitude of the displacement remain the same .

(b) The velocity in uniform motion doesn’t depend upon the time interval .

(c)There is no need of force for an object to be in uniform motion .

(d) The velocity in uniform motion is in dependent of choice of origin.

(e) The average and instantaneous velocities have value in uniform motion.

__ __

__If the motion of the object is uniform the following formula is used to find the __

__different– different physical quantities .__

Distance = speed **x** time ; speed = distance / time

Displacement = velocity **x** time ; Velocity = displacement** /** time ;

Average speed = total distance covered / total time taken .

Average velocity = total displacement covered / total time taken

V = **X _{2}-X_{1}** /

**t**

_{2}-t_{1 }.

** Non-uniform motion- **An object is said to be in non-uniform motion if it covers unequal distance in equal interval of time ,or equal distance in unequal interval of time. The velocity of a body changes with time it may increase ( accelerated ) or decrease (deaccelerate) with time .

** Following are the important equations of motion**– for uniformly accelerated motion

- 1
^{st}of motion ( it is also known as velocity – time relation)- v = u + at ( Where v=final velocity, u= initial velocity , a= acceleration, t = time taken .) - 2
^{nd}of motion (it also known as distance – time relation ) – S=ut+1/2 at^{2}(where s=displacement ; u = initial velocity ; a= acceleration ; t = time taken .) - 3
^{rd}of motion (it is also known as the velocity- position relation) – V^{2}-U^{2}=2aS (where – S= displacement ; V= final velocity ; U= initial velocity ; a= acceleration .)

**TO SEE THE VIDEO FOR THE DERIVATION OF ALL THREE EQUATIONS OF MOTION CLICK HERE-**

- 4
^{th}of motion ( distance covered by the body in n^{th}second ) S_{nth}= u+ a(2n-1)/2 . (where S_{nth}= distance covered in n^{th}second ; a= acceleration ; n= given time ; u= initial velocity .)

**TO SEE THE VIDEO FOR THE DERIVATION OF 4 ^{th} EQUATION OF MOTION CLICK HERE-**

To download objective practice paper of motion in st line (akash)click here-

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