Ona statightroada policemanin ajeepchasesathiefwitha speedv.Whenthe thiefis adistancedfromthepolice- jeep, thethiefescapeswitha bikewitha constantaccelerationa.The policecancatchthe thiefifv^(2)ge2 ad - proveit .

Ona statightroada policemanin ajeepchasesathiefwitha speedv.Whenthe th

1.	Ona statightroada policemanin ajeepchasesathiefwitha speedv.Whenthe thiefis adistancedfromthepolice- jeep, thethiefescapeswitha bikewitha constantaccelerationa.The policecancatchthe thiefifv^(2)ge2 ad - proveit .
Answer» Solution :F thevelocityof thebikeof thethiefincrease from0 tovin timet , V= ator ,`t= ( v) /(a)` thedistancetravelledby thethiefin timet , ` s =(1)/(2)at^(2)=(1)/(2)a ( (v)/( a))^(2)= ( 1)/(2)( v^(2))/(a)` the distancetravelledbythepolice- jeepin timethas TOBE atleast( s+d) . hence, v `* ((v)/(a)) ge s+d` or ,` (v^2)/(a )ge(1)/(2)( v^(2))/(a)+ DOR ,(1)/(2) (v^(2))/(a)ged ` `or ,v^(2)ge2ad `