Question

A 45ft long conveyor is used to move boxes up to a second level. The belt speed is 150ft/min and the conveyor is inclined at 15 degrees. Boxes are dropped vertically onto the conveyor and have no horizontal speed. The static and dynamic coefficient of friction between the belt and the box is u(s)=0.4 and u(k)=0.25 respectively. Determine the time it takes for a package to travel 45 ft on the conveyor.