Question

2nd kinematic equation derivation s =ut+1/2at^2 . prove it mathematically using graph​

Answer 1

Answer:

Aim:Derive kinematic equation of derivatives s=ut+1/2at² by graphically

Solutions :As we know ,area under v-t graph = displacement(s)

s = area under graph AB

s = area of rectangleOCEA+area of triangleAEBs s =(OA×OC) + (1/2×AE×BE).........(1)

from the figure show in the picture ,we considered,,

OA =u

OC=t

AE=OC=t

andBE=at

(((((((((as we know ,slope of v-t curve =tanΦ= =acceleration

(,,a=BE

AE

a=BE

t

BE=at))))))))

substitute these values in (1) experiment

s=ut+1/2(t)(at)

s= ut+1/2at²

hence derived✨

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