A small, propeller driven, airplane is heading south at 120 mph. A commercial jet airplane is heading west at 600 mph. These airplanes are flying toward the same point at the same altitude (call it the origin). The first time this situation was observed (t 0),the propeller plane was 100 miles from the point where the flight patterns intersect. The jet was 550 miles from this intersection. (a) For each airplane, find parametric equations that model its motion. (b) Find an equation for the distance between the airplanes as a function of time. (c) When are the airplanes closest?
A small, propeller driven, airplane is heading south at 120 mph. A commercial jet airplane is heading west at 600 mph. These airplanes are flying toward the same point at the same altitude (call it the origin). The first time this situation was observed (t 0),the propeller plane was 100 miles from the point where the flight patterns intersect. The jet was 550 miles from this intersection. (a) For each airplane, find parametric equations that model its motion. (b) Find an equation for the distance between the airplanes as a function of time. (c) When are the airplanes closest?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:A small, propeller driven, airplane is heading south at 120 mph. A commercial
jet airplane is heading west at 600 mph. These airplanes are flying toward the same point at the
same altitude (call it the origin). The first time this situation was observed (t 0),the propeller
plane was 100 miles from the point where the flight patterns intersect. The jet was 550 miles from
this intersection.
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(a) For each airplane, find parametric equations that model its motion.
(b) Find an equation for the distance between the airplanes as a function of time.
(c) When are the airplanes closest?
(d) What is the minimum distance between the airplanes?
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