The velocity of a car is modeled by meters per second for

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

Problem

The velocity of a car is modeled by

v(t)=t^{3}-6t^{2}+8t

meters per second for

0\le t\le 5

. Calculate the total distance the car travels on this interval. Report your answer to three decimal places.