Question

Prove the following equation:-

$s = ut + \frac{1}{2} \: {at}^{2}$

Answer 1

v=u + at
2as = v^2 - u^2
2as=(u+at)^2 -u^2
2as=u^2 +(at)^2 +2uat -u^2
2as=(at)^2 + 2 uat
s=(at)^2 + 2uat / 2a
s=ut+1/2at^2