Suppose that two people standing 2 mi (10,560 ft) apart at points A and B hear a car backfire. The time difference between the sound heard at point A and the sound heard at point B is 8 sec. If sound travels 1100 ft/sec, find an equation of the hyperbola (with foci at A and B) on which the point of origination of the sound must lie. Car dị d2 A(-5280, 0) B(5280, 0)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 34E
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Suppose that two people standing 2 mi (10,560 ft) apart at points A and B hear a car backfire. The time difference between
the sound heard at point A and the sound heard at point B is 8 sec. If sound travels 1100 ft/sec, find an equation of the
hyperbola (with foci at A and B) on which the point of origination of the sound must lie.
Car
dị
d2
A(-5280, 0)
B(5280, 0)
Transcribed Image Text:Suppose that two people standing 2 mi (10,560 ft) apart at points A and B hear a car backfire. The time difference between the sound heard at point A and the sound heard at point B is 8 sec. If sound travels 1100 ft/sec, find an equation of the hyperbola (with foci at A and B) on which the point of origination of the sound must lie. Car dị d2 A(-5280, 0) B(5280, 0)
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