Question

check the correctness of the relation s=ut+1/2at²

Answer 1

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 this may help you  and be the brainliest..

Answer 2

average velocity=u+v/2

or, s=distance

s=v^t

so. s= (u+v)t/2

v=u+at

so. s=(u+u+at)t/2

=(2u+at)t/2

=2ut+at sq.

s=ut+1/2at sq.