2) 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. A(-5280,0) d₁ Car B(5280, 0)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.1: The Circle And The Parabola
Problem 87E
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2) 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.
A(-5280,0)
d₁
Car
B(5280, 0)
Transcribed Image Text:2) 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. A(-5280,0) d₁ Car B(5280, 0)
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