# My 100 followers question

Two small stones $$A ,B$$ of masses $$1~kg$$ and $$2~kg$$ respectively, are projected simultaneously at $$t=0$$. The stone $$A$$ is projected horizontally with speed $$V_a~ms^{-1}$$ from the top of a tower that is $$Y$$ meters high and the stone $$B$$ is projected from the ground at a distance $$X$$ meters from the foot of the tower with speed $$V_b~=~90~ms^{-1}$$ at an angle of $$37^o$$ with the horizontal as shown in the figure. At time $$t~=~6~sec$$ after projection, they collide in air and at that moment their velocities are mutually perpendicular. Then find $$X~+~Y~+~V_a$$

Note: give the sum of the numerical values of $$X, Y , V_a$$.

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