1.
Two particles having position vectors r⃗1=(3i^+5j^) m\vec{r}_1 = (3\hat{i} + 5\hat{j})\ \text{m} and r⃗2=(−5i^−3j^) m\vec{r}_2 = (-5\hat{i} - 3\hat{j})\ \text{m} are moving with velocities v⃗1=(4i^+3j^) m/s\vec{v}_1 = (4\hat{i} + 3\hat{j})\ \text{m/s} and v⃗2=(ai^+7j^) m/s\vec{v}_2 = (a\hat{i} + 7\hat{j})\ \text{m/s}. If they collide after 2 s2\,\text{s}, then the value of aa is