A package is at rest on a conveyor belt which is initially at rest. The belt is started an...

A package is at rest on a conveyor belt which is initially at rest. The belt is started and moves to the right for 1.5 s with a constant acceleration of 3.2 m/s2. The belt then moves with a constant deceleration a2 and comes to a stop after a total displacement of 4.6 m. Knowing that the coefficients of friction between the package and the belt are µs = 0.35 and µk = 0.25, determine (a) the deceleration a2 of the belt, (b) the displacement of the package relative to the belt as the belt comes to a stop.