Math 1271, Summer 2010, Worksheet 16.11. Two highways meet at right angles. Both highways are exactly straight lines. Onecar is traveling east at 50 mph and the other car is traveling north at 70 mph. The cargoing east leaves the intersection 2 hours before the car going north. At what rate is thedistance b etween the two cars increasing 3 hours after the time the car going north leavesthe intersection?2. A spotlight is 500 feet from a long straight wall. Let P denote the point on the wallnearest the spotlight. It is 500 feet from point P to the spotlight. The spotlight is rotatingat a rate of 3 revolutions per minute. How fast is the point where the spotlight marks thewall moving when the mark is 500 feet from point P ?1Math 1271, Summer 2010, Worksheet 16.23. Gravel is being dumped from a conveyor belt at a rate of 40π ft3/min and its coarsenessis such that it forms a pile in the shape of a cone whose height is always twice its diameterat its base. How fast is the height of the pile increasing when the pile is 5 feet
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