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CBSE Class 11-science Answered

S=ut+(1/2)at^2
Asked by geetasinghaastha | 16 Aug, 2021, 20:07: PM
answered-by-expert Expert Answer
Distance S travelled by a body that is moving with uniform acceleration is given as
 
Distance S = Average velocity × time 
 
Let u is initial velocity , v is final velocity after time t .
 
Average velocity = ( u + v) /2
 
Final velocity v is given as , v = u + ( a × t ) 
 
where a is uniform acceleration 
 
Hence average velocity = [ u + u + ( a × t ) ] /2  = u + [ (1/2) a × t ]
 
Distance S travelled int time t ,  S = { u + [ (1/2) a × t ] } × t =  ( u t ) + [ (1/2) a t2 ] 
Answered by Thiyagarajan K | 16 Aug, 2021, 20:28: PM

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