Weight, Normal: You have opened a small delivery business that guarantees to deliver any box between 5 lbs. and 500 lbs. to any location in the area...

Weight, Normal: You have opened a small delivery business that guarantees to deliver any box between 5 lbs. and 500 lbs. to any location in the area by the next day. At your distribution center, boxes slide down a ramp between the delivery and the sorting area. You must determine the angle this ramp should have so that a box will take 5.0 seconds to slide down the ramp when starting from rest at the top. When the box arrives at the bottom of the ramp, you decide that its speed should be no larger than 10 ft/s so as not to damage the contents of the box. Using the latest technology, the surface of the ramp will be extremely slippery.