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Power =Force*Velocity
Power=Const
Now multiply 't' both sides
So power*time=Energy
Const*t=m.a.v.t
Const *t=m.dv/dt.(v).t
Now by rearrangement
Const/m*(dt)=vdv
Now integ both sides
Const/m*(t)=v^2/2
Therefore
V= const *root (t)
:)
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