For , the position of a particle is meters. Determine the open intervals on this…

MATHEMATICS · Subjective · A Level · Mathematics · Kinematics · Kinematics

Problem

For 0≤t≤40 \le t \le 4, the position of a particle is s(t)=t3−6t2+9ts(t)=t^{3}-6t^{2}+9t meters. Determine the open intervals on this domain where the particle’s speed is increasing.

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