Maximum Speed on a Closed Interval
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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