The velocity of a particle for seconds is given by meters per second

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

The velocity of a particle for 0≤t≤40\le t\le 4 seconds is given by v(t)=t3−6t2+9tv(t)=t^{3}-6t^{2}+9t meters per second. Determine the total distance the particle travels over this time interval.

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