Question

Prove that s=ut+1/2at^2
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Answer 1

Hope this will help u......

Answer 2

To Prove

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

•Suppose a body moves with Initial velocity "u" having uniform acceleration"a"it's velocity becomes "v"

Suppose body covers distance"S" during this time

Distance=Average speed×Time

$s = \frac{v + u}{2} \times t$

$s = \frac{u+at+u}{2}\times \: t \: \: (as \: v = u+at)$

$s = \frac{(2u+at)}{2} \times t$

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

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

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

Proved