A police party is chasing a dacoit in a jeep which is moving at a constant speed `v`. The dacoit is on a motor cycle. When he is at a distance `x` from the jeep, he accelerates from rest at a constant rate `alpha`. Which of the following relations is true, if the police is able to catch the dacoit ?A. `v^(2) lt ax`B. `v^(2) lt 2ax`C. `v^(2) ge 2ax`D. `v^(2) = ax`

A police party is chasing a dacoit in a jeep which is moving at a cons

1.	A police party is chasing a dacoit in a jeep which is moving at a constant speed `v`. The dacoit is on a motor cycle. When he is at a distance `x` from the jeep, he accelerates from rest at a constant rate `alpha`. Which of the following relations is true, if the police is able to catch the dacoit ?A. `v^(2) lt ax`B. `v^(2) lt 2ax`C. `v^(2) ge 2ax`D. `v^(2) = ax`
Answer» Correct Answer - (c ) Let the police catch the thief after time t Then, `S_("Police"): = vt` and `S_"Thief" = 1/2 at^(2)` The police will catch the thief, `x + 1/2 at^(2) = vt` `1/2 at^(2) - vt + x = 0` `t= (v+- sqrt(v^(2)-2ax))/(a)` `v^(2)-2ax ge0` or `v^(2) ge 2ax`

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