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A block of mass $m$ is moving according to the equation $x(t) = bt^2$, where $b$ is a constant.

The average power delivered in time $t$ is

A

$ {mb}^2t $

B

$ {2mb}^2t $

C

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

D

$ {4mb}^2t $

E

$ \cfrac {{mb}^2t}{4} $

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