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Second Equation of Motion

Let 'u' be the initial velocity of a body which moves with uniform acceleration 'a'.

After 't' seconds let its velocity be 'v'. During this interval of time, the body covers a distance 's'.
 

It is given that acceleration of the body is uniform.

 

The average velocity of the body =
 

Distance travelled by the body in 't' seconds is given by

s = average × time= t ……………. (1)

But v = u + at ……………. (2)

 

Using equation (2), equation (1) can be written as
 

s = t
  = t
  =

s = ut+at2


 




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