A package is at rest on a conveyor belt which is initially at rest. The belt is started and moves to the right for $1.3s$ with a constant acceleration of  $\displaystyle 2 m/s^{2}$. The belt then moves with a constant deceleration $\displaystyle a_{2}$ and comes to a stop after a total displacement of $2.2m$. Knowing that the coefficients of friction between the package and the belt are $\displaystyle \mu_{s}=0.35$ and $\displaystyle \mu_{k}=0.25,$ determine