Derives `s=ut+1/2at^(2)`
Derive one equation for displacement of a body which is in the uniform acceleration.

Explanation

1) Let u be the initial velocity.
v be the velocity at time 't'.
a be the acceleration.
s be the displacement is time 't'.
2)
3) The body is in the uniform velocity, acceleration is constant.
Average velocity = `(v+u)/2" "........(1)`
4) Also we know average velocity = `s/t" ".....(2)`
5) From (1) and (2)
`(v+u)/2=s/t`
6) We know that `u+at=v" ".....(3)`
Substitute (3) in `(v+u)/2=s/t`
`(u+at+u)/2=s/t`
`(2u+at)/2=s/t`
`ut+1/2at^(2)=s`
7) `s=ut+1/2at^(2)`