Question

How to prove S= ut + 1/2 at²​

Answer 1

☆ ...Derivation of the second equation of motion (v=u+½at²) Equation for position-time relation

As pr definition, .......

For A body under uniform acceleration, one can write ,

Distance travelled,s= Area of the rectangle OADC

or,

$s = ( \frac{1}{2} \times base \times height) - (length \times breadth)$

s= (½×AD×BD) +(oC×OA) ....(1)

AD=oc=t

BD=(BC-DC) =(v-u)=(u+at-u)=at

Substituting for these in eq...(1)

S=½×t×at+(t×u)

s=ut+½at².....

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