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» Correct Answer - 1
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


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