At t=0, a body of mass 100 g starts moving under the influence of a force (5 i +10 j ) N. After 2 s its position is (2 x i +5 y j ) m. The ratio x: y…

At $\displaystyle t=0$, a body of mass $\displaystyle 100$ g starts moving under the influence of a force $\displaystyle (5 \hat{\mathrm{i}}+10 \hat{\mathrm{j}}) \mathrm{N}$. After $\displaystyle 2$ s its position is $\displaystyle (2 x \hat{\mathrm{i}}+5 y \hat{\mathrm{j}}) \mathrm{m}$. The ratio $\displaystyle x: y$ is $\displaystyle \_\_\_\_$.