A driver takes $0.20s$ to apply the brakes after he sees a need for it. This is called the reaction time of the driver. If he is driving a car at a speed of $54 km/h$ and the brakes causes a deceleration of $ 6.0 \ { m }/{ { s }^{ 2 } }$, find the distance traveled by the car after he sees the need to put the brakes on.