50. A hospital is located 3 mi west and 4 mi north of the center of town. Suppose that a Medi-Vac helicopter flies at a constant speed from the hospital to the location of an accident 15 mi east and 20 mi south of the center of town in 15 min (i hr). Choose a coordinate system with the origin at the center of town. a. Write parametric equations to represent the path of the helicopter as a function of the time t (in hr) after the helicopter leaves the hospital. b. Where is the helicopter located 10 min after leaving the hospital?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 44E
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How do I solve 50?

50. A hospital is located 3 mi west and 4 mi north of the
center of town. Suppose that a Medi-Vac helicopter flies
at a constant speed from the hospital to the location of
an accident 15 mi east and 20 mi south of the center of
town in 15 min (i hr). Choose a coordinate system with
the origin at the center of town.
a. Write parametric equations to represent the path of
the helicopter as a function of the time t (in hr) after
the helicopter leaves the hospital.
b. Where is the helicopter located 10 min after leaving
the hospital?
Transcribed Image Text:50. A hospital is located 3 mi west and 4 mi north of the center of town. Suppose that a Medi-Vac helicopter flies at a constant speed from the hospital to the location of an accident 15 mi east and 20 mi south of the center of town in 15 min (i hr). Choose a coordinate system with the origin at the center of town. a. Write parametric equations to represent the path of the helicopter as a function of the time t (in hr) after the helicopter leaves the hospital. b. Where is the helicopter located 10 min after leaving the hospital?
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