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NEET UG PHYSICS MCQ: MOTION IN A STRAIGHT LINE

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Two cars A and B are travelling in the same direction with velocities v1  and    v2(v1>v2).{v_1}\mathrm{\;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
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Correct option: C
d>(v1−v2)22ad > \frac{{{{\left( {{v_1} - {v_2}} \right)}^2}}}{{2a}}
Option C (d>(v1−v2)22ad > \frac{{{{\left( {{v_1} - {v_2}} \right)}^2}}}{{2a}}) is correct because it represents the condition where the relative velocity is reduced to zero before the cars collide.

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