Problem 6 The Train Problem A high-speed train rounds a corner traveling at speed 4v when it then sees a slower moving locomotive traveling at velocity va distance d ahead. 4v ข (a) Sketch the position and velocity as a function of time for both the train and locomotive (on the same plot) if the train accelerates in such a way that it just just avoids a collision. (b) What must the acceleration of the train be such that it just avoids a collision? Write your answer in terms of vand d.

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Chapter1: Units, Trigonometry. And Vectors
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Problem 6 The Train Problem
A high-speed train rounds a corner traveling at speed 4v when it then sees a slower moving locomotive
traveling at velocity va distance d ahead.
4v
ข
(a) Sketch the position and velocity as a function of time for both the train and locomotive (on the same
plot) if the train accelerates in such a way that it just just avoids a collision.
(b) What must the acceleration of the train be such that it just avoids a collision? Write your answer in
terms of vand d.
Transcribed Image Text:Problem 6 The Train Problem A high-speed train rounds a corner traveling at speed 4v when it then sees a slower moving locomotive traveling at velocity va distance d ahead. 4v ข (a) Sketch the position and velocity as a function of time for both the train and locomotive (on the same plot) if the train accelerates in such a way that it just just avoids a collision. (b) What must the acceleration of the train be such that it just avoids a collision? Write your answer in terms of vand d.
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