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A block of mass $m$ is moving according to the equation: $ x(t) = bt^3 $.

The average power delivered in time $t$ is

A

$ {3mb}^2t^3 $

B

$ {6mb}^2t^3 $

C

$ {9mb}^2t^3 $

D

$ \cfrac{9}{2}{mb}^2t^3 $

E

$ \cfrac{{mb}^2t^3}{2} $

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