Two trains travel. Based on their leghths, mesure

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SUMMARY

This discussion focuses on a physics problem involving two trains traveling on parallel tracks. Train A, with a length of 1 km, moves at a constant speed of 50 m/s, while Train B, 0.5 km long, accelerates at 3 m/s² with a maximum speed of 60 m/s. The key questions are determining the instant Train B passes Train A and the distance Train A travels during that time. The solution involves using kinematic equations to analyze the motion of both trains and suggests creating a distance versus time graph for better visualization.

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  • Understanding of kinematic equations, specifically V = V0 + at and x = x0 + (0.5)t².
  • Knowledge of basic physics concepts such as acceleration and maximum speed.
  • Ability to convert units, particularly from kilometers to meters.
  • Familiarity with graphing techniques to visualize motion over time.
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  • Learn how to apply kinematic equations to solve motion problems in physics.
  • Research the concept of acceleration and its impact on velocity and distance.
  • Explore techniques for creating distance versus time graphs for multiple objects.
  • Study the implications of maximum speed in motion problems and how it affects acceleration phases.
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Students studying physics, particularly those focusing on kinematics, as well as educators looking for practical examples of motion analysis in real-world scenarios.

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Homework Statement


Two trains trqvel on Paralel tracks in the same direction. Train 'A' has a length of 1 km and traveling at 50 m / s. Train 'B' has a length of 0.5 km and starts at just the moment when the rear of the train 'A' passes at the front of the train 'B'. Train 'B' has an acceleration of 3 m / s ^ 2 and a maximum speed of 60 m / s.

a) At what instant does train B pass train A, that is to say at what point does the back of train 'B' pass the front of train 'A'?

b) How far did train 'A' travel during that time?


Homework Equations


I've got:
V= V0 + at
x= x0 +(0,5)t^2


The Attempt at a Solution


I converted the lengths from km to m.

Then, tried combining the equations, but i wind up with unknowns that i don't know what to do with.. Help me get started? Please!
 
Last edited:
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You would help yourself greatly if you could draw a distance versus time graph for the two trains. At least this will help you visualize what is going on. Suggestion: have one curve represent the location of the back-end of train A vs time, and the other curve represent the location of the front-end of train B vs time. This way the 2 curves can both start at the origin. A couple intermediate things you should determine that will help with the graph: How long will it take for the train B to reach its maximum speed? And, at that time, how far will the front-end of train B have traveled?
 
Last edited:

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