Trains heading toward each other

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Homework Help Overview

The problem involves two trains traveling towards each other at different speeds, with the goal of determining their initial distance apart 30 minutes before they cross paths. The subject area relates to kinematics and relative velocity.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between distance, speed, and time, with some suggesting that the initial distance may not be necessary for solving the problem. Others question the concept of relative velocity and seek simpler methods to approach the problem.

Discussion Status

The discussion is ongoing, with various interpretations of the problem being explored. Some participants have offered guidance on relative velocity, while others express confusion and seek further clarification on the concepts involved.

Contextual Notes

There is a mention of a potential misunderstanding regarding the problem's requirements, and some participants indicate that they misread the initial conditions. The discussion includes references to external resources for understanding relative velocity.

chawki
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Homework Statement


One train runs from A to B at 105 miles per hour, the other runs from B to A at 85 miles per hour.

Homework Equations


How far apart were the two trains 30 minutes prior to their crossing?

The Attempt at a Solution


if the distance between them is x, i can find the time when they cross each other.
t=x/(190)
 
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chawki said:

Homework Statement


One train runs from A to B at 105 miles per hour, the other runs from B to A at 85 miles per hour.

Homework Equations


How far apart were the two trains 30 minutes prior to their crossing?

The Attempt at a Solution


if the distance between them is x, i can find the time when they cross each other.
t=x/(190)
How far apart are the trains to begin with?
 
They didn't say
 
30 mins * relative velocity = x. won't that be the answer?
 
supratim1 said:
30 mins * relative velocity = x. won't that be the answer?
That works.
 
so initial distance is not required!
 
supratim1 said:
so initial distance is not required!

It is not. I misread the problem at first.
 
t-0.5=x/190 ?
 
supratim1 has already posted the method of calculation above (#4). Be sure to have a consistent system of units.
 
  • #10
yeah but i don't understand it
i don't know about the relative velocity
 
  • #12
i still don't get it...
isn't there another method more simple?
 
  • #13
chawki said:
i still don't get it...
isn't there another method more simple?
There isn't. This is a problem about relative velocity and you have to understand what that means. Here we go. Please think about and answer the following two questions.

Question 1
Suppose you are in a car traveling at 60 miles per hour going North. You look out the window and you see a road sign. Would you say that the road sign is moving? If so, how fast and in what direction?

Question 2
Suppose you are in a car traveling at 60 miles per hour going North. You look out the window and you see a car going in the opposite direction (South). The speedometer of that car reads 50 miles per hour. Would you say that that car is moving? If so, how fast and in what direction?
 

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