A particle $$\(P\)$$ of mass $$\(0.5 \mathrm{~kg}\)$$ is moving with velocity $$\(\lambda(\mathbf{i}+\mathbf{j}) \mathrm{m} \mathrm{s}^{-1}\)$$ when $$\(P\)$$ receives an impulse of magnitude $$\(\sqrt{\frac{5}{2}} \mathrm{Ns}\)$$ Immediately after $$\(P\)$$ receives the impulse, the velocity of $$\(P\)$$ is $$\(4 \mathbf{i} \mathrm{m} \mathrm{s}^{-1}\)$$ Given that $$\(\lambda\)$$ is a constant, find the two possible values of $$\(\lambda\)$$ (6)

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