User:Eg2c01/sandbox

we know that kinetic energy=1/2 mv^2 but ke=mv^2 can be proved. force(f)=mass(m)*acceleration(a) where m=mass a=acceleration work = energy work=force*displacement so, energy=force(f)*displacement(d) =f*d again kinetic energy(ke)=f*d =m*a*d =m*(v-u)/t*d        since, a=(v-u)/t =m*v/t*d   since,to gain kinetic energy an object's initial velocity(u)=0m/s =m*v/t*v*t since, displacement(d)=velocity(v)*time taken(t) =m*v*v     since,t gets cancelled =mv^2 therefore,ke=mv^2

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