Two car `A` and `B` travelling in the same direction with velocities `v_1` and `v_2(v_1 gt v_2)`. When the car `A` is at a distance `d` ahead of the car `B`, the driver of the car `A` applied the brake producing a uniform retardation `a`. There wil be no collision when.

Options

A. `d lt ((v_1 - v_2)^2)/(2a)`
B. `d lt (v_1^2 -v_2^2)/(2a)`
C. `d gt ((v_1 - v_2)^2)/(2a)`
D. `d gt (v_1^2 - v_2^2)/(2a)`

Answer

C

Explanation

`d gt ((v_1 - v_2)^2)/(2a)`