please give the answer by the using of graphical method where the symbol as usual
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FIGURE IN THE ATTACHMENT.
ANSWER:-
Consider the velocity time graph of an object that moves under uniform acceleration.
Let 's' the distance travelled by a body.
Therefore,From the graph distance travelled (s)= area of a Trapezium OABC = area of the rectangle OADC=area of the triangle ABD.
In the above graph OA=CD=u and BC=v.
We know that acceleration(a)= change in velocity by time.
a=BD/t
BD=at
Therefore, s=area of trapezium OABC= area of rectangle OADC+ area of triangle ABD.
=OC×OA×1/2+AD×BD
=t×u×1/2×t×at
s=ut+1/2at^2
HENCE,DERIVED.
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