Slowest shortcut Suppose you are standing in a field near

Chapter 7, Problem 53E

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QUESTION:

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 \(\frac{1}{4}\) mi away. The train, with length \(\frac{1}{3}\) mi, is traveling at 20 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?

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QUESTION:

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 \(\frac{1}{4}\) mi away. The train, with length \(\frac{1}{3}\) mi, is traveling at 20 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?

ANSWER:

Solution Step 1: Consider that one is standing in a field near a straight section of railroad tracks just as the locomotive of the train passes the point nearest to one, which is miaway. 4 The train has length of 3i, and is travelling at20 mi /hr. If one starts running in a straight line across the field, it is required to know with what speed and in what direction one should run.

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