Velocity squared vs position graph

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Homework Help Overview

The discussion revolves around interpreting the slope of a velocity squared versus position graph in the context of kinematics. The original poster questions the meaning of the slope and its relation to acceleration, particularly in light of expected values for gravitational acceleration.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between the slope of the graph and acceleration, with some referencing the kinematic equation v² = u² + 2as. There is confusion regarding the variables involved, particularly the distinction between displacement and time.

Discussion Status

The discussion is active, with participants providing insights into the interpretation of the slope and questioning the assumptions made about the variables in the equation. There is no clear consensus yet, as different interpretations of the graph's axes are being explored.

Contextual Notes

Participants are navigating potential misunderstandings regarding the definitions of the variables in the kinematic equation, particularly the use of 's' for displacement versus time. The original poster's units of measurement also raise questions about consistency and accuracy in their calculations.

azn4lyf89
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I calculated a slope from a best fit line of a velocity squared vs position graph but I don't understand what this slope represents. My units come out to be in cm/seconds squared, so does that mean that's my acceleration? It seems to be way off from 9.80m/sec^2 which should be my acceleration. Or does this slope help me determine to acceleration?
 
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Well from v^2=u^2+2as

If you plot v2 vs. s, your gradient should be 2a
 
rock.freak667 said:
Well from v^2=u^2+2as

If you plot v2 vs. s, your gradient should be 2a

Isn't that only if the graph was velocity squared vs time? Because s is seconds right?
 
azn4lyf89 said:
Isn't that only if the graph was velocity squared vs time? Because s is seconds right?

s is displacement.

t is usually used to inidicate time.
 

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