question_answer

Two cars A and B are travelling in the same direction with velocities\[{{v}_{1}}\]and\[{{v}_{2}}({{v}_{1}}>{{v}_{2}})\]. 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:

A)  \[d<\left( \frac{{{v}_{1}}-{{v}_{2}}}{2a} \right)\]

B)         \[d>\frac{v_{1}^{2}-v_{2}^{2}}{2a}\]

C)  \[d>\frac{{{({{v}_{1}}-{{v}_{2}})}^{2}}}{2a}\]

D)         \[d<\frac{v_{1}^{2}-v_{2}^{2}}{2a}\]

E)  none of these