mv2.
Answer:
Suppose
a body of mass m is moving with velocity v. It is brought to rest by applying a
retarding force F. Suppose it traverses a distance s before coming to rest.
Kinetic energy of body, K.E. = Work done by retarding force to stop it.
i.e., kinetic energy = F . s ...(i)
But retarding force, F = ma ...(ii)
Initial velocity, u' = v, final velocity v' = 0
From equation u2 = v2 =u2
+ 2as,we have
(because here a is
retardation)
Distance, 
...
(iii)
Substituting values of-F and s from (ii) and (Hi) in
(i), we get Kinetic energy
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