Uniform Acceleration-Algebraically

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Homework Help Overview

The problem involves an object that has been displaced 19.6 m east while uniformly accelerating from rest, with an average velocity of 5.00 m/s east. The goal is to determine the rate of acceleration.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the definition of average velocity and its relationship to time and displacement. There are attempts to apply kinematic equations, with some questioning how to isolate acceleration. Concerns about extracting time from the given information are raised, alongside discussions about the interpretation of average velocity.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of average velocity and its implications for finding time and acceleration. Some guidance has been provided regarding the extraction of time from the average velocity definition, but there is no explicit consensus on the approach to take.

Contextual Notes

Participants express uncertainty about the ability to extract time from the problem, and there are references to various kinematic equations without reaching a resolution. The original poster has stated their initial conditions and attempted to apply equations but is struggling with the manipulation needed to isolate acceleration.

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b]1. Homework Statement [/b]

An object was displaced 19.6 m east while uniformly accelerating from rest. If the average velocity of the object was 5.00 m/s east, what was the rate of acceleration?

Homework Equations





The Attempt at a Solution



So my Vo=0
Vf= 5.00m/s east
x=19.6m

I need to calculate acceleration. Which equation do I use and how would I manipulate it?
 
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What is the definition of average velocity? Can you extract a time from this definition and the given information?

If you know the time and the distance traveled, do you know of a kinematic equation that relates them to the acceleration?
 
gneill said:
What is the definition of average velocity? Can you extract a time from this definition and the given information?

If you know the time and the distance traveled, do you know of a kinematic equation that relates them to the acceleration?

I don't believe I can extract a time from the problem. I tried using Vf^2 = V0^2 + 2ax. I do not know how to isolate the a. Can you help? My average velocity is my final velocity in this problem, is that correct?
 
alit00 said:
I don't believe I can extract a time from the problem. I tried using Vf^2 = V0^2 + 2ax. I do not know how to isolate the a. Can you help? My average velocity is my final velocity in this problem, is that correct?

You can extract a time. Go back to your notes and find the definition of average velocity.
 
gneill said:
You can extract a time. Go back to your notes and find the definition of average velocity.

Average velocity is displacement/time. Would my time be 3.92s?
 
alit00 said:
Average velocity is displacement/time. I do not have a time in this case.

You have the average velocity and you have the displacement...
 
gneill said:
You have the average velocity and you have the displacement...

I still do not understand. I tried every equation and am not getting the answer
 
alit00 said:
I still do not understand. I tried every equation and am not getting the answer

Look at the definition for average velocity. Can you identify the time variable in the definition?
Isolate the time variable in the equation.
 

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