Solve 1-D Motion Problem: Find Vo & a

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Homework Help Overview

The problem involves a truck's motion, specifically focusing on finding its initial speed and acceleration as it slows down over a distance of 40.0 m in 8.50 s to a final speed of 2.80 m/s.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to use a kinematic equation but expresses difficulty in progressing. Some participants suggest calculating the average speed as a potential step forward.

Discussion Status

Participants have engaged in exploring the average speed and its relationship to the initial speed. The original poster has calculated values for the initial speed and acceleration but seeks confirmation on their correctness. There is a mix of agreement and support from others in the discussion.

Contextual Notes

There is an indication of uncertainty regarding the correctness of the calculations, and the original poster is looking for validation of their results.

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A truck covers 40.0 m in 8.50 s while smoothly slowing down to a final speed of 2.80 m/s. (a) Find the truck's original speed. (b) Find it's acceleration.

I used the 2nd formula originally (X=volt+1/2aT^2) but I wasn't getting anywhere. Can someone point me in the right direction on how to do this problem? Any help is appreciated. Thanks.
 
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Try figuring out the average speed of the truck and see what that tells you.
 
I found it to be 4.71 m/s but I'm still stuck. Where do I go next?
 
Good. Now use that to find the initial speed:
[tex]v_{ave} = (v_i + v_f)/2[/tex]
 
Thanks for your help. I really appreciate it.

I got 6.62 m/s for part A and used V=Vo+at to get -.45m/s^2 on part B.

I hope this is correct. I'm pretty sure A is.

Can anyone confirm?
 
Last edited:
Looks good to me.
 

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