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Unto

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I'm trying to show that the power delivered by a force equals the rate at which the particle is changing.

Now P = [tex]\vec{F}[/tex] [tex]\bullet[/tex] [tex]\vec{v}[/tex]

= m[tex]\vec{a}[/tex] [tex]\bullet[/tex] [tex]\vec{v}[/tex]

= m[tex]\vec{v}[/tex] [tex]\stackrel{\delta}{\delta t}[/tex][tex]V^2[/tex]

This book is now telling me that the above line = 2[tex]\vec{a}[/tex] [tex]\bullet[/tex] [tex]\vec{v}[/tex]whyyyyy?