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Two cars \( A \) and \( B \) are travelling in the same direction with velocities \( V_{A} \) and \( V_{B}\left(V_{A}V_{B}\right) \). When the car : \( A \) is a distance behind car \( B \), the driver of the car \( A \) applies the brakes producing a uniform retardation a; there will be no collision when
(a) \( s\frac{\left(V_{A}-V_{B}\right)^{2}}{2 a} \)
(b) \( s=\frac{\left(V_{A}-V_{B}\right)^{2}}{2 a} \)
(c) \( s \geq \frac{\left(V_{A}-V_{B}\right)^{2}}{2 a} \)
(d) \( s \leq \frac{\left(V_{A}-V_{B}\right)^{2}}{2 a} \)
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