Suppose you are standing in a field near a straight section of railroad tracks just as the locomotive of a train passes the point nearest to you, which is mi away. The train, with length - mi, is traveling at 13 mi/hr. If you start running in a straight line across the field, how slowly can you run and still catch the train? In which direction should you run? 3 Let v be your velocity and let x be the difference between the position of the locomotive when it passes you and the position at which you catch the tail of the train. What is the objective function in terms of x? (Type an expression.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Suppose you are standing in a field near a straight section of railroad tracks just as the locomotive of a train passes the point
nearest to you, which is mi away. The train, with length - mi, is traveling at 13 mi/hr. If you start running in a straight line
across the field, how slowly can you run and still catch the train? In which direction should you run?
3
Let v be your velocity and let x be the difference between the position of the locomotive when it passes you and the position at
which you catch the tail of the train. What is the objective function in terms of x?
(Type an expression.)
Transcribed Image Text:Suppose you are standing in a field near a straight section of railroad tracks just as the locomotive of a train passes the point nearest to you, which is mi away. The train, with length - mi, is traveling at 13 mi/hr. If you start running in a straight line across the field, how slowly can you run and still catch the train? In which direction should you run? 3 Let v be your velocity and let x be the difference between the position of the locomotive when it passes you and the position at which you catch the tail of the train. What is the objective function in terms of x? (Type an expression.)
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