269605 Two particles \(A\) and \(B\) of mass \(1 \mathrm{Kg}\) and \(2 \mathrm{Kg}\) respectively are projected in the directions shown in figure with speeds \(u_{A}=200 \mathrm{~m} / \mathrm{s}\) and \(u_{B}=50 \mathrm{~m} / \mathrm{s}\), Initially they were \(\mathbf{9 0} \mathbf{~ m}\) apart. Find the maximum height attained by the centre of mass of the particles. \(\left(~ g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)