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W=Fd and F=ma W is work (energy), F is force, d is distance, m is mass, and a is acceleration.

plug in to get W=mad so ad=W/m

(vf^2)=(vi^2) + 2ad where vf and vi are velocity final and initial respectively.

Assume vi=o so (vf^s)=2ad

rearrange so ad=(vf^2)/2

Plug in again to get W=m[(vf^2)/2] which is kinetic energy.

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