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Two cars A and B are travelling in the same direction with velocities v1 and v2 $\left({v}_{1}>{v}_{2}\right)$. When the car A is at a distance d ahead of the car B, the driver of the car A applied the brake producing a uniform retardation a There will be no collision when

(1) $d<\frac{{\left({v}_{1}-{v}_{2}\right)}^{2}}{2a}$

(2) $d<\frac{{v}_{1}^{2}-{v}_{2}^{2}}{2a}$

(3) $d>\frac{{\left({v}_{1}-{v}_{2}\right)}^{2}}{2a}$

(4) $d>\frac{{v}_{1}^{2}-{v}_{2}^{2}}{2a}$