Maximum Speed on a Closed Interval
A particle moves along a line, and its position at time $$t \geq 0$$ is given by $$n(t) = t^3 - 9t^2 + 15t + 2$$. On the closed interval $$[0, 5]$$, at what time $$t$$ does the particle attain its maximum speed?
A
$$t = 3$$
B
$$t = 0$$
C
$$t = 5$$
D
$$t = 1$$
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