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5. A small airplane at an altitude of 5,000 feet is flying east at 300 feet per second (a bit over 200 miles per hour),

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5. A small airplane at an altitude of 5,000 feet is flying east at 300 feet per second (a bit over 200 miles per hour), and you are watching it with a small telescope as it passes directly overhead. (a) What is the slope of the telescope 5, 10 and 20 seconds after the plane passes overhead? (b) What is the slope of the telescope t seconds after the plane passes overhead? (c) After the plane passes overhead, is the slope of the telescope increasing, decreasing or staying the same? airplane - - - 5000 feet ground13. The graph below shows the distance of an air- plane from an airport during a long flight. (a) How far was the airplane from the airport at 1 p.m.? At 2 p.m.? (b) How fast was the distance changing at 1 p.m.? (c) How could the distance from the plane to the airport remain unchanged from 1:45 p.m. until 2:30 p.m. without the airplane falling? 400 300 distance (miles) 200 100 1 PM 2 4 time

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