An automobile A travels on a straight road at the constant speed \(v_{A}=75 \mathrm{~km} / \mathrm{h}\). A second car B arrives at the speed \(v_{B}=130 \mathrm{~km} / \mathrm{h}\) and starts braking inducing a constant deceleration \(a_{B}=-9.0 \mathrm{~m} / \mathrm{s}^{2}\) when it is at the distance \(d\) from A. Determine the minimum distance \(d\) such that the collision between the cars is avoided.