At 8:00 am airplane #1 has an elevation of 12250 ft. and is descending at the rate of 150 ft/min. At 8:24 am, airplane #2 takes off from its runway (elevation = 0 ft) and climbs at the rate of 100 ft/min. (1) Let t represent the time in minutes since 8:00 am, and let E represent the elevation in feet. Write an equation for the elevation of each plane in terms of t. plane #1: E(t) = = plane #2: E(t) = (2) At what time will the two airplanes have the same elevation? t = minutes after 8:00 am (3) What is the elevation at that time? E = feet 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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At 8:00 am airplane #1 has an elevation of 12250 ft. and is descending at the rate of 150 ft/min. At 8:24
am, airplane #2 takes off from its runway (elevation = 0 ft) and climbs at the rate of 100 ft/min.
(1) Let t represent the time in minutes since 8:00 am, and let E represent the elevation in feet. Write an
equation for the elevation of each plane in terms of t.
plane #1: E(t) =
=
plane #2: E(t) =
(2) At what time will the two airplanes have the same elevation?
t =
minutes after 8:00 am
(3) What is the elevation at that time?
E =
feet
4
Transcribed Image Text:At 8:00 am airplane #1 has an elevation of 12250 ft. and is descending at the rate of 150 ft/min. At 8:24 am, airplane #2 takes off from its runway (elevation = 0 ft) and climbs at the rate of 100 ft/min. (1) Let t represent the time in minutes since 8:00 am, and let E represent the elevation in feet. Write an equation for the elevation of each plane in terms of t. plane #1: E(t) = = plane #2: E(t) = (2) At what time will the two airplanes have the same elevation? t = minutes after 8:00 am (3) What is the elevation at that time? E = feet 4
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