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Maximum Speed on a Closed Interval
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A particle moves along a line so that at time $$t \geq 0$$ its position is given by $$n(t) = t^3 - 9t^2 + 15t + 2$$. At what time $$t$$ does the particle have maximum speed?

A

$$t = 3$$

B

$$t = 5$$

C

$$t = 0$$

D

$$t = 1$$

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