Question

derive the relation SNth=u+a/2(2n-1)for uniformly acceleration motion ​

Answer 1

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Answer 2

These equations describe relation between initial velocity (u), final velocity (v), displacement(s), time (t) and acceleration (a), for uniformly accelerated motion.                        

First equation

v = u+at

Second equation

s= ut+ at2

Third equation

v 2- u2 =2as

Distance traveled in nth second (Sn) is the distance traveled in one second between t = n and t = n-1 seconds

Sn=u +  (2n-1)