Deciphering Velocity-Time Graphs: How to Determine Acceleration?

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Homework Help Overview

The discussion revolves around understanding how to determine acceleration from a velocity-time graph, specifically addressing the interpretation of slope and the implications of changing velocity.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between slope and acceleration, questioning whether changing velocity implies changing acceleration. They also discuss discrepancies in the values presented on the graph and their implications.

Discussion Status

Participants are actively questioning assumptions about the graph's representation and the relationship between velocity and acceleration. Some guidance has been offered regarding the interpretation of slope, but there is no explicit consensus on the matter.

Contextual Notes

There are references to specific values on the velocity axis that participants find confusing, and there is an ongoing exploration of the definitions and implications of changing velocity versus changing acceleration.

alex2256
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OK, on a velocity-time graph, how does one determine the acceleration?

I actually attempted to find the slope of the line and the graph here:

http://www.physicsclassroom.com/Class/1DKin/U1L4a.cfm (the second graph with the rightward changing velocity) Why does it graph 4, 8, 12, 16 and 20 instead of the 2, 8, 18, 32 and 50 on the velocity axis?

If I find the slope of the line I get 2, 4, 6, 8, 10 which to me looks like constant acceleration and not rightward changing acceleration. Can anybody help me?

Thanks for the help.
 
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alex2256 said:
(the second graph with the rightward changing velocity)

...

looks like constant acceleration and not rightward changing acceleration.

One of these statements does not match the description in the link.
 
negitron said:
One of these statements does not match the description in the link.

I'm sorry, I meant "rightward changing velocity". In the second graph on that page from the top, they graph 4, 8, 12, 16 and 20 and not the numbers 2, 8, 18, 32 and 50. Am I missing something blatantly obvious here, or?
 
Well, does a changing velocity necessarily imply a changing acceleration?
 
Would I need to find the average acceleration by minusing the initial velocity from the final velocity divided by the final time minus the initial time to get 4m/s^2?
 
Why? Does the slope of the line change?
 
negitron said:
Why? Does the slope of the line change?

Oh.. do you mean I could simply find the slope of the line and that is my acceleration, since the slope of a line is the acceleration of an object on a v-t graph?
 
I do suggest you read the linked page in its entirety. You will find your answers there!
 

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