At 5:00 am, here's what we know about two airplanes: Airplane #1 has an elevation of 17580 ft. and is descending at the rate of 310 ft/min. Airplane #2 has an elevation of 12700 ft. and is descending at the rate of 500 ft/min.
At 5:20 am, Airplane #2 quickly levels off its flight and flies horizontally. At 5:55 am, this plane then begins to climb at 200 ft/min.
(1) Let represent the time in minutes since 5:00 am, and let represent the elevation in feet. Write an equation for the elevation of each plane in terms of . Note that the equation for plane #2 will have 3 separate pieces.
plane #1:
plane #2 (descent):
plane #2 (steady elevation):
plane #2 (ascent):
(2) At what time will the two airplanes have the same elevation?
minutes after 5:00 am
(3) What is the elevation at that time?
feet
At 5:20 am, Airplane #2 quickly levels off its flight and flies horizontally. At 5:55 am, this plane then begins to climb at 200 ft/min.
(1) Let represent the time in minutes since 5:00 am, and let represent the elevation in feet. Write an equation for the elevation of each plane in terms of . Note that the equation for plane #2 will have 3 separate pieces.
plane #1:
plane #2 (descent):
plane #2 (steady elevation):
plane #2 (ascent):
(2) At what time will the two airplanes have the same elevation?
minutes after 5:00 am
(3) What is the elevation at that time?
feet