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V² - u² = 2as

v² - 0 = 2as

a = v²/2s

WD= mas = m * v²/2s * s = mv²/2

Or, 1/2mv²

v² - 0 = 2as

a = v²/2s

WD= mas = m * v²/2s * s = mv²/2

Or, 1/2mv²

v^2-u^2=2as OR

s=v^2-u^2/2a...................................................................eqa=1

Force,F=ma.....................................................................eqa=2

Work done by the force,

W=Fs...............................................................................eqa=3

Use equations 1 and 2 in equation 3.

ie; W=ma*(v^2-u^2/2a)

=1/2ma(v^2-u^2)

If the object is starting from rest ,

ie; when u=0,then W=1/2mv^2

This work done is equal to the change in kinetic energy of an object.

Therefore,kinetic energy possessed by the object is

E(k)=1/2mv^2