How Do You Convert Between Position/Time and Velocity/Time Graphs?

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Homework Help Overview

The discussion revolves around converting between Position/Time graphs and Velocity/Time graphs, a topic relevant to kinematics in physics. Participants express confusion about the conversion process and seek clarification on the underlying concepts.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants attempt to understand how to derive one type of graph from the other, questioning the definitions and relationships between position and velocity. Some express a need for simpler explanations and examples to aid comprehension.

Discussion Status

There is ongoing dialogue with some participants offering insights about the definitions of velocity and the mathematical relationships involved. However, there is no explicit consensus on the best way to explain the conversions, and multiple interpretations are being explored.

Contextual Notes

Some participants mention difficulties in understanding the material, suggesting that the teaching methods may not be effective for the class. There are references to external resources that could provide additional context, but no specific solutions have been reached.

DjSiddiqi
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So i am in Grade 11. I have the worst teacher in the school, she cannot teach 4 ****. I need to know how to do you convert a Position/ Time graph into a Velocity/ Time graph and how do you convert a velocity/time graph into a position/time graph?

- PLz if someone could help me out with this. I would greatly appreciate it
 
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DjSiddiqi said:
So i am in Grade 11. I have the worst teacher in the school, she cannot teach 4 ****. I need to know how to do you convert a Position/ Time graph into a Velocity/ Time graph and how do you convert a velocity/time graph into a position/time graph?

- PLz if someone could help me out with this. I would greatly appreciate it

maybe your teacher just doesn't know how to relate the material to you.


But anyhow use the definition of velocity to help with conversion.

The gradients in a position (displacement)/time graph gives the velocity in that interval.

The area under the graph in a time interval in the velocity-time graph gives the displacement.
 
rock.freak667 said:
maybe your teacher just doesn't know how to relate the material to you.But anyhow use the definition of velocity to help with conversion.

The gradients in a position (displacement)/time graph gives the velocity in that interval.

The area under the graph in a time interval in the velocity-time graph gives the displacement.

bro no one in the class understands it.. n can u explain in simpler terms
 
Last edited:
DjSiddiqi said:
bro no one in the class understands it.. n can u explain in simpler terms

Read this http://www.physicsclassroom.com/Class/1DKin/u1l3a.cfm" . I can't really explain it properly without an example.
 
Last edited by a moderator:
From the definition of velocity, the graph of the velocity is the graph of the derivative function of the function giving position as a function of time (just like the graph y = 2x is the graph of the derivative function of the function f(x) = x2). You should be familiar with doing this from your first calculus class.
Likewise, position is the integral of velocity over time (otherwise known as the area under the graph of velocity as a function of time from 0 to t). Likewise, creating an approximation of this graph based on the graph of velocity versus time should be familiar from your calculus course.
If you are sketchy on the details, http://people.hofstra.edu/stefan_waner/Realworld/calctopic1/derivgraph.html may jog your memory.
 
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