Question

Derive the following equation of motion by analytical method:-(a) S=ut+1/2at^2

Answer 1

$\mathfrak{\huge{\orange{\underline{\underline{Answer :}}}}}$

Consider an object which has travelled displacement s in the time t under uniform acceleration a.Let intial velocity of the object be u and the final velocity v.

s=1/2t(u+v) -1

from the veocity relation

v=u+at -2

substitute 1 in 2

s=1/2t(u+u+at)

=1/2t(2u+at)

s=ut+1/2at^2

Hope It Will Help.❤️

Answer 2

Answer:

AVG velocity = displacement /time

AVG velocity=s/t

that=v+u/t

v+u/t=s/t

then v=u+at

u+at+v=s/t

2u+at/2=s/t

do cross multiplication

(2u+at)=2s

2ut+at square/2=s

that s=it+1/2at square