Another motion problem for constant acceleration

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Homework Help Overview

The problem involves a truck traveling at a constant speed approaching a stationary car that begins to accelerate. The scenario is set on a two-lane highway, and the question focuses on determining the time it takes for the truck to reach the car.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss writing position functions for both the truck and the car, suggesting to set them equal to find the time of intersection. There is a request for clarification on how to express this in equation form.

Discussion Status

The discussion is ongoing, with some participants offering hints and encouragement. There is no explicit consensus yet, but a productive direction is emerging as participants explore the relationships between the truck's constant speed and the car's acceleration.

Contextual Notes

The original poster expresses uncertainty about how to approach the problem, indicating a potential gap in understanding the underlying concepts. There is also a reference to a similar problem, which may influence the discussion.

chroncile
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Homework Statement


A truck travels at a constant speed of 28.0 m/s in the fast lane of a two-lane highway. It approaches a stationary car stopped a the side of the road. When the truck is still 125 m behind the car, the car pulls out into the slow lane with an acceleration of 2.6 m/s2. How long will it take the truck to reach the car? (Answer is 6.32 s)


Homework Equations


N / A


The Attempt at a Solution


I have no idea how to do this :(
 
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This is similar to the wolf/rabbit problem.

Write the position as a function of time for both the truck and the car. Measure from the initial position of the truck when the car starts moving. Set them equal.
 
I'm sorry, but could you please write that out in equation form? I am not a clever man.
 
Oh, you're clever enough. :smile:

You just solved an almost identical problem! Hint: The truck moves at constant speed; the car accelerates.
 

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