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Derive the Kinematics Equations.

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These are the various relations between u, v, a, t and s for the moving particle where the notations are used as :

u = Initial velocity of the particle at time t = 0 sec 

v = Final velocity at time t sec 

a = Acceleration of the particle 

s = Distance travelled in time t sec 

sn = Distance travelled by the body in nth sec

When particle moves with constant acceleration 

(i) Acceleration is said to be constant when both the magnitude and direction of acceleration remain constant. 

(ii) There will be one dimensional motion if initial velocity and acceleration are parallel or anti-parallel to each other.

(iii) Equations of motion in scalar form 

Equation of motion in vector form

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