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)leax`B. `v^(2)le2ax`C. `v^(2)ge2ax`D. `v^(2)geax`

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)leax`B. `v^(2)le2ax`C. `v^(2)ge2ax`D. `v^(2)geax`
Answer» Correct Answer - C If police is able to catch the dacoit after time t, then `vt=x+(1)/(2)alphat^(2)` this gives `(alpha)/(2)t^(2)-vt+x=0` or `t=(v+-sqrt(v^(2)-2alphax))/(alpha)` for t be real `v^(2)gealphax`

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