How Does the Distance Traveled by the Truck Compare to That of the Car?

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Homework Help Overview

The discussion revolves around a problem in kinematics, specifically comparing the distances traveled by a car and a truck under constant acceleration and deceleration, respectively. The car accelerates from rest to 20 m/s over 5 seconds, while the truck decelerates from 20 m/s to a complete stop over 10 seconds.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the need to determine the acceleration of each vehicle and question how to calculate the distances traveled. Some express uncertainty about their calculations and seek clarification on relevant equations for constant acceleration.

Discussion Status

The discussion is ongoing, with participants exploring different aspects of the problem. Some have provided hints regarding average velocity and the need for a velocity vs. time graph, while others are questioning their understanding of the underlying concepts and calculations.

Contextual Notes

Participants are encouraged to show their work before receiving help, and there is an emphasis on understanding the equations related to constant acceleration. Some participants express doubt about their calculations, indicating potential gaps in information or understanding.

sarah111
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On a straight road, a car speeds up at a constant rate from rest to 20 m/s over a 5 second interval and a truck slows at a constant rate from 20 m/s to a complete stop over a 10 second interval. How does the distance traveled by the truck compare to that of the car?
 
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sarah111 said:
On a straight road, a car speeds up at a constant rate from rest to 20 m/s over a 5 second interval and a truck slows at a constant rate from 20 m/s to a complete stop over a 10 second interval. How does the distance traveled by the truck compare to that of the car?
Hello sarah111. Welcome to PF !

What have you tried?

Where are you stuck?


You should show some work before anyone gives help.

... but, here's a hint:
What is the average velocity of each vehicle?​
 
I feel like I can't answer the question because i don't know what the accceleration is. I tried using the equation for speed and found that the car stop 100m and the truck 200 but i don't feel that is right
 
sarah111 said:
On a straight road, a car speeds up at a constant rate from rest to 20 m/s over a 5 second interval and a truck slows at a constant rate from 20 m/s to a complete stop over a 10 second interval. How does the distance traveled by the truck compare to that of the car?

Sketch a velocity vs. time graph.
The car starts from rest and constantly increasing the speed until finally attained 20m/s after 5 secs.
The truck starts from 20m/s and constantly reducing the speed till zero.
Distance traveled is - velocity x time
 
sarah,

What equations do you know regarding constant acceleration?
 

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