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Two cars A and b are travelling in same direction with velocities $V_1$ and $V_2 (V_1 > V_2)$ when the car A is at a distance d ahead of car B , the driver of the car A applied the broke producing a uniform retardation a. There will be no collision when

$\begin{array}{1 1} d < \large\frac{(V_1-V_2)^2}{2a} \\ d < \large\frac{V_1^2-V_2^2}{2a} \\ d > \large\frac{(V_1-V_2)^2}{2a} \\ d < \large\frac{V_1^2-V_2^2}{2a} \end{array} $
Thanks a lot for your help...

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