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Maximum Speed on a Closed Interval

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A particle moves along a line, and its position at time t≥0t \geq 0 is given by n(t)=t3−9t2+15t+2n(t) = t^3 - 9t^2 + 15t + 2. On the closed interval [0,5][0, 5], at what time tt does the particle attain its maximum speed?

A

t=3t = 3

B

t=0t = 0

C

t=5t = 5

D

t=1t = 1

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