Find Velocity when Acceleration Vs Time Graph

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Homework Help Overview

The discussion revolves around determining the velocity of a particle at 7 seconds using an acceleration versus time graph. Participants are exploring the relationship between acceleration and velocity through integration and the interpretation of areas under the graph.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to calculate the velocity by integrating the acceleration graph, questioning how to handle areas above and below the time axis. There is uncertainty about whether to add or subtract areas to find the total change in velocity.

Discussion Status

Some participants have expressed comfort with integration but are unsure about the implications of negative areas and how to properly account for them in their calculations. There is an ongoing exploration of how to interpret the areas under the graph to arrive at the correct velocity.

Contextual Notes

Participants are discussing the assumptions related to negative areas and the concept of area under the curve, indicating a need for clarification on these topics. There is also a mention of the original poster's feelings of embarrassment in seeking help, which may influence the discussion dynamics.

dgales4130
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Homework Statement


Find the particles Velocity at 7 seconds . ( Graph Below)

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Homework Equations


attachment.php?attachmentid=43188&stc=1&d=1327701250.jpg


The Attempt at a Solution



T=5 from 7-2
or
T=2 From 7-5 ( Because It's now -a)

I tried int from 0 to 5 -10dt and got -50
then AT=v with both
A @ 7 second = (-20*2)/2 = -20

Is velocity not negative.
I am really embarrassed to ask for help. I would love to understand , and maybe remind me some how science is fun ..
 

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I will assume you are familiar with differentiation since it's listed under relavant equations. Do you know integration yet? If not, think about the graph of a constant acceleration - how do you find the velocity of a constant acceleration versus time graph?
 
Yes , I am comfortable with doing integration.

In this case I am not sure what is area. I know that area is from t 0 - 5 is on the positive side . I am not sure if I should add the two areas to find the v at 7s or something else.

I haven't had I chance to talk about negative area to so it's just a bunch of assumitions , which I don't like.

So , Should I find the area of the partial triangle then the other one below axis ?

Or something else ?
 
If I just do are both on the positive side and negative side of the a axis i get the quantities

20 ( t , 1-2 ; up tri )
20 (t 1-2 ; below rectangle )
45 (t 2-5 ; large tri )
20 ( t 5-7 ; tri in 4 quadrant ) ( is this positive or negative area )
 
Last edited:

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