How Do Acceleration-Time Graphs Explain Motion?

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Homework Help Overview

The discussion revolves around understanding acceleration-time graphs in the context of a body moving along a straight line, with specific data points provided for position and velocity over time.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the creation of an acceleration graph and the calculation of average acceleration and force. Questions arise regarding the correctness of these calculations and the interpretation of negative force.

Discussion Status

Some participants have offered guidance on the calculations, while others are questioning the assumptions made regarding the signs of the force and acceleration. There is an ongoing exploration of the interpretations of the results.

Contextual Notes

Participants are working with specific values for mass, velocity, and time, and are attempting to clarify the implications of negative values in their calculations. There is a focus on ensuring the accuracy of the graphs and calculations based on the provided data.

Spruance
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A 2,0 kg body moves along a straight line.

bilde.gif


x={0,2,4,6,8,10,12,14,16,18,20} s
f(x)={10,10,20,30,50,50,50,20,10,5,0} m/s


a)
Make a acceleration-time graph

c)
Calculate the average force working on this body
 
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I tried to make a acceleration graph. However, something is wrong with it.

ww.png



c) First I tried to find the average acceleration,

a = ((v - v0)/(t-t1)) = (0 m/s - 10 m/s)/(20-0)) = -0,5 m/s^2

then

E = ma

= 2 kg * -0,5 m/s^2

= - 1 N


Can anyone correct me?
 
From the data given, both your graphs and calculations are correct. Why do you believe it be wrong?

~H
 
Ok. It is - 1 N, and not 1 N?
 
Spruance said:
Ok. It is - 1 N, and not 1 N?

Yes, it is -1N from the given data.

~H
 

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