What is the Constant Speed of the Bus During the Middle Section of the Trip?

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SUMMARY

The discussion focuses on determining the constant speed of a bus during a trip of 4.0 km that takes 6.0 minutes. The bus accelerates uniformly from rest over the first 0.50 km, maintains a constant speed for a section, and then decelerates uniformly over the last 0.25 km. Key equations used include V = v0 + at, x - x0 = v0t + 1/2 at², and v² = v0² + 2a(x - x0). The solution requires analyzing the motion in three distinct phases to calculate the constant speed accurately.

PREREQUISITES
  • Understanding of kinematic equations for linear motion
  • Familiarity with concepts of acceleration and deceleration
  • Ability to interpret and create velocity-time graphs
  • Basic knowledge of uniform motion principles
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  • Learn how to apply kinematic equations in real-world scenarios
  • Study the relationship between area under a velocity graph and distance
  • Explore uniform acceleration and deceleration calculations
  • Practice sketching and interpreting velocity-time graphs
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Students studying physics, particularly those focusing on kinematics, as well as educators looking for practical examples of motion analysis.

Kris.oh
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help with straight line motion!

Homework Statement


A bus travels in a straight line between 2 stops.The trip of 4.0km takes 6.0 minutes . The buis accelerates unniformly from rest during the first 0.50km, and thereafter it maintains a constant speed after which it slows down uniformly during the last 0.25km and eventually stops. Determine the value of the constant speed that the us maintained during one section of the trip.


Homework Equations


V=v0+at
x-x0 = v0t + 1/2 at2
v2 = v02 + 2a (x - x0 )

The Attempt at a Solution

 
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What have you done so far to work towards a solution?
 


Welcome to PF, Kris!
You have to show some attempt at the problem before we can help you.
I can't resist mentioning that there are two rather different approaches to motion problems that both work every time. One is to use the formulas and the other is to use the graphing relationships (area under velocity graph = distance; slope on velocity graph = acceleration). Which approach will you take? There are three different motions going on here, so the velocity graph might help you keep them organized. Or you could make 3 headings and right down the appropriate formula(s) for each.

If you use the graph, you'll need to sketch it on the computer and show it here. The best way is to save it as a .jpg image and upload it to a free photo site like photobucket.com. Then you can paste a link to it here. If you put IMG before the link and /IMG after it (both in square brackets), the diagram will show up right in the post.
 

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