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K.E is the amount of work to stop a moving body.Therefore W=Fd
But F=-ma (K.E is opposite to workdone)
then,W=-mad
NOw,
-2as=v^2-u^2
-2a[x(t)-x(0)]=v(t)^2-v(0)^2
-2ad=0-v^2
-2ad=-v^2
-ad=-1/2v^2
ad=1/2v^2
but W=-mad
then,putting the value
W=m1/2v^2
therefore k.e=1/2mv^2
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Moderation Team
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