Braking distance from variable acceleration

A racing car is travelling on a straight horizontal track at a velocity of $80\text{ m s}^{-1}$ when the brakes are applied at time $t = 0$ seconds. From time $t = 0$ to the moment the car stops, the acceleration of the car is given by $a(t) = -(6t^2 + t)\text{ m s}^{-2}$.

During this time period, the distance the car travels, correct to the nearest metre, is