Two guns situated on the top of a hill of height 10 m fire one shot each with the same speed 5 3 ~m / s at some interval of time. One gun fires horizontally and other fires upwards at an angle of 60^ with the horizontal. The shots collide a

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Two guns situated on the top of a hill of height 10 m fire one shot each with the same speed 5 3 ~m / s at some interval of time. One gun fires horizontally and other fires upwards at an angle of 60^ with the horizontal. The shots collide at point P . The coordinates of point P with respect to the bottom of the hill are (in metres x, y ). find 3 x+y

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Correct answer: 20

aligned & x=5 3 t₁ =5 3 60^ t₂, t₂=2 t₁ & 10-y= 1 2 g t₁^2 -5 3 30^ t₂+ 1 2 g t₂^2 Solving & t₂=2 t₁=2 ~s x=5 3 ~m y=5 ~m aligned

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