The velocity of a particle on seconds is centimeters per second

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

The velocity of a particle on [0,5][0,5] seconds is v(t)=t3−6t2+8tv(t) = t^{3} - 6t^{2} + 8t centimeters per second. The particle is at position s=0s=0 cm when t=0t=0. Determine the time in [0,5][0,5] at which the particle attains its absolute minimum position, and state that minimum position.

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