A race car is traveling on a straight track at a velocity of 80 meters per second…

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

Problem

A race car is traveling on a straight track at a velocity of 80 meters per second when the brakes are applied at time t=0t=0 seconds. From time t=0t=0 to the moment the race car stops, the acceleration of the race car is given by a(t)=−6t2−ta(t)=-6 t^{2}-t meters per second per second. During this time period, how far does the race car travel?

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