# Kinamatics

♦ Kinematics is the branch of mechanics dealing with the motion of the bodies without

reference to either mass or force causing it.

♦ A body is said to be at rest, When it is not changing its position with time, with respect to

the surrounding.

♦ A body is said to be in motion. If it is changing its position with time, with respect to the

surroundings.

♦ Uniform Velocity: If a body travels equal distances in equal intervals of time, however

small these intervals may be along a straight line in a particular direction; then it is said to

be moving with uniform velocity .

♦ Acceleration: Acceleration in the rate of change of velocity of a particle.

Acceleration = Change velocity/Time.

Uniform Acceleration: If equal changes in velocity take place in equal intervals of time

however small these intervals of time may be then the body is said to be moving with

uniform acceleration.

♦ Equation of motion of uniformly accelerated body along a straight line.

Let 'u' be its initial velocity i.e., the velocity at the start of the study of motion at t = 0

Let 'v' be its final velocity i.e., the velocity after time 't' has passed.

'a' its uniform acceleration and 's' is the distance travelled by it in time 't'

♦ Particle: A Particle is a small portion matter without extent. Mathematically, it is denoted

by a point.

♦ Scalar: Physical Quantity which has only magnitude and direction is known as vector

quantity.

ex: Displacement, Velocity, Acceleration, Force, Weight etc.

♦ Distance and Displacement: The total length of the path of a particle. During its motions

is called the distance covered by it.

Suppose a particle has changed its position suppose a particle has changed from A

(initial Position) to the position B (Final Position) form following diagram.

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