How Far Does a Slowing Train Travel?

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Homework Help Overview

The problem involves a train that decelerates from a speed of 30 m/s to 10 m/s over a period of 30 seconds, with a specific focus on determining the distance traveled before the speed decreases from 30 m/s to 20 m/s. This falls under the subject area of kinematics.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of different kinematic equations to approach the problem. Some express uncertainty regarding the initial velocity and acceleration, while others suggest methods to calculate acceleration based on changes in velocity over time.

Discussion Status

The discussion is ongoing, with participants exploring various equations and relationships relevant to the problem. Some guidance has been provided regarding the calculation of acceleration, but no consensus has been reached on the overall approach or solution.

Contextual Notes

There is a noted difficulty in determining the initial velocity and acceleration, which may affect the ability to solve the problem effectively. Participants are also navigating the constraints of homework rules that may limit the type of assistance provided.

lvck
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Homework Statement



1. A train moving at a speed of 30 m/s slows down to 10m/s in 30s. How far had the train gone before it's speed was reduced from 30m/s to 20 m/s?

Homework Equations



D= Vi times T + at(squared) divide it by 2

The Attempt at a Solution


None yet. Please help me with the solution
 
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Honestly I am having a hard time figuring out what the initial velocity is.. and the acceleration
 
You can figure the "a" simply by using the relationship that ΔV = a*t That Δ v is (10 - 30) = -20 = a*t

Using the V2 = ... formula then your final speed is 10 m/s and you Initial is 30 and your acceleration is negative because it's slowing you down to 20, then you can figure x.
 

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