A police chase a thief with a velocity uniform velocity 'v'. When the jeep was at a distance 'd' from a thief then the thief fled from the rest with an acceleration 'a'. so prove that the police caught the thief if v>=root over 2ad.
Asked by mugembosapta
12th July 2018,
11:43 PM
Answered by Expert
Answer:
Let after t seconds police catching the thief from the instance of thief's fleeing with acceleration 'a' ;
distance travelled by thief starting from rest = (1/2)×a×t2 ....................... (1)
distance travelled by police with uniform velocity = v×t ......................(2)
initially there is a gap of distance d ;
hence, we have, v×t = (1/2)×a×t2 + d ....................(3)
eqn.(3) is rewritten as, at2 - 2×v×t + 2d = 0 ............(4)
above quadratic eqn. has +ve solution if (2×v)2 > 8×a×d or 
Answered by Expert
13th July 2018,
6:29 AM
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