You have opened a small delivery business that guarantees to deliver any box bet

Question

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 the box will take t=5 s 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 v=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. Give your answer in "deg" (for degrees).

Explanation / Answer

LET THE ANGLE BE theta

acc down the slope=asin theta

now as per the problem

v=10ft/sec=0+gsinthetaX 5

g=32ft/sec2

so

10=5X32Xsin(theta)

theta=sin-1(1/16)

calculating we will get he answer.

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