Work Done = $Fd$
Power = $Fv$
If the (net) Work Done = Change in Kinetic Energy, and the object starts from rest:
Work Done = $\frac{1}{2} mv^2$
Power = $\frac{1}{2} m av$
Power = $\frac{1}{2} F v$
This isn't correct though. How do I remove factor of $\frac{1}{2}$?