Question

Prove that S=ut+1/2at2 graphically.

Answer 1

So from the diagram

Area= u+v2×u+v2× tt

⇒⇒ s=u+v2×ts=u+v2×t

Now you know that v=u+atv=u+at

So replacing v by the above relation in the equation of area we get,

s=u+u+at2×ts=u+u+at2×t

⇒⇒ s=(u+at2)×ts=(u+at2)×t

So we get s=ut+12at2s=ut+12at2

Hopefully I have sufficiently help you out.

Thanks for reading!