Rotational Motion: JEE Main 2022 Physics question

A body of mass $10 \mathrm{~kg}$ is projected at an angle of $45^{\circ}$ with the horizontal. The trajectory of the body is observed to pass through a point $(20,10)$. If $\mathrm{T}$ is the time of flight, then its momentum vector, at time $\mathrm{t}=\frac{\mathrm{T}}{\sqrt{2}}$, is _____________. [Take $\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}$ ]