S=ut+(1/2)at^2

Asked by geetasinghaastha | 16th Aug, 2021, 08:07: PM

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 | 16th Aug, 2021, 08:28: PM