How Long Does a Train Take for a 48 km Trip with Intermediate Stops?

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Homework Help Overview

The discussion revolves around calculating the time it takes for a train to complete a 48 km trip with intermediate stops, focusing on the effects of acceleration, constant speed, and deceleration at each station. The problem involves kinematics and the application of motion equations.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the need for understanding constant acceleration equations and suggest breaking the problem into segments of acceleration, constant speed, and deceleration. There is an emphasis on sharing initial thoughts and attempts to facilitate guidance.

Discussion Status

The conversation is ongoing, with participants encouraging the original poster to share their ideas and attempts. Some guidance has been offered regarding the use of sketches to visualize the problem, but no consensus or resolution has been reached yet.

Contextual Notes

Participants note the importance of the specific parameters given, such as acceleration rates, stopping distances, and the time spent at each station, which may influence the approach to the problem.

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Calculate the time it takes a train to make a 48 km trip in the following two situations. Assume that at each station the train accelerates at a rate of 2.0 m/s2 until it reaches 50 km/h, then stays at this speed until its brakes are applied for arrival at the next station, at which time it decelerates at -3.0 m/s2. Assume it stops at each intermediate station for 20 s.

(a) The stations at which the trains must stop are 0.60 km apart.

I'm confused...
 
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This is a step by step problem. What do you know? do you know constant acceleration equations?
 
physicsss, if you try and start on the problem, we can guide you further. If you don't tell us what you've tried or what ideas you have, we really can't help you.
 
I'd start with sketches dividing the trip up into accelerating, constant and deccelerating parts. My sketch would look kind of like a number line, and I'd write in what was given and what I could find out about each part.
 

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