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The position of a particle varies with time according to the equation:

$$x(t) = t^3– 12t+5$$

What is the acceleration of the particle when it changes direction?

A

$2\text{ m/s}^2$

B

$4\text{ m/s}^2$

C

$6\text{ m/s}^2$

D

$10\text{ m/s}^2$

E

$12\text{ m/s}^2$

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