A package is at rest on a conveyor belt which is initially at rest. The belt is started and moves to the right for 1.38 with a constant acceleration of $2 \mathrm{m}/{\mathrm{s}}^2$. The belt then moves with a constant deceleration $a_2$ and comes to a stop after a total displacement of $2.2 \mathrm{m}$. Knowing that the coefficients of friction between the package and the belt are ${\mu }_{ }=0.35$ and ${\mu }_k=0.25$, determine  the displacement of the package relative to the belt as the belt comes to a stop. (Take, $g=10 \mathrm{m}/{\mathrm{s}}^2$ )