Two particles were projected simu ltaneously in horizontal plane with same velocity u perpendicu lar to each other. The time after which their velocities makes angle 60^(@) with each other is k(u)/(g). Find the value of k

Two particles were projected simu ltaneously in horizontal plane with

1.	Two particles were projected simu ltaneously in horizontal plane with same velocity u perpendicu lar to each other. The time after which their velocities makes angle 60^(@) with each other is k(u)/(g). Find the value of k
Answer» Solution :Velocity of 1st PARTICLE after time t `vecv_(1)=uhati-gt hatk` For 2nd particle `vecv_(2)=uhatj-gt hatk` Now, `vecv_(1).vecv_(2)=v_(1)v_(2)cos theta` `g^(2)t^(2)=(U^(2)+g^(2))cos theta` `cos theta=(g^(2)t^(2))/((u^(2)+g^(2)t^(2)))` For `theta=60^(@)` `g^(2)t^(2)=u^(2)` LTB u=gt