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

Question

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

Dr. Abubacker · Accepted Answer

(c) For same direction relative velocity $= \left| v_{1} - v_{2} \right|$
Distance covered, $d = \frac{\left( v_{1} - v_{2} \right)^{2}}{2a}$
For no collision, $d > \frac{\left( v_{1} - v_{2} \right)^{2}}{2a}$

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

Explanation

Reviewed by Dr. Abubacker

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