Converting dt graph (and table) to velocity/time using two point

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Discussion Overview

The discussion revolves around the conversion of a distance/time graph, along with an accompanying table, into a velocity/time graph using the two-point method. Participants explore the relationship between distance and velocity, as well as the implications of different graph shapes on the resulting velocity graph.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant asks how to convert a distance/time graph into a velocity/time graph using the two-point method.
  • Another participant questions the relationship between velocity and distance, suggesting a need for clarification.
  • A participant states the equation d=vt, indicating a basic relationship between distance and velocity.
  • Further elaboration on the equation d=vt includes a description of how the shape of the distance-time graph affects the velocity-time graph, noting that a straight line results in a parallel line and a parabolic graph results in a straight line at an angle.
  • Another participant emphasizes that velocity is the time rate of change of displacement and corresponds to the slope of the distance-time graph, suggesting that understanding the physical meaning is crucial.

Areas of Agreement / Disagreement

Participants express varying levels of understanding regarding the conversion process and the underlying principles. There is no consensus on the best approach or the implications of different graph shapes.

Contextual Notes

Some assumptions about the nature of the graphs and the conditions under which the two-point method applies are not explicitly stated. The discussion does not resolve the mathematical steps involved in the conversion process.

Who May Find This Useful

Individuals interested in graph analysis in physics, particularly those studying kinematics and the relationships between distance and velocity.

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How can we convert a distance/time graph (that also contains a table of info) into velocity/time, using the two point method?
 
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celtics23 said:
How can we convert a distance/time graph (that also contains a table of info) into velocity/time, using the two point method?

What is the relationship between "velocity" and "distance"?

Zz.
 
d=vt
 
celtics23 said:
d=vt

'd' is displacement 've
you'll learn it afterward perhaps i see

i am giving you graph of speed vs time

if d-t graph is straight line at an angle α with x-axis then v-t graph is a line parallel to x axis
if d-t graph is parabolic then v-t graph is straight line at an angle θ with x axis
 
celtics23 said:
d=vt

Not quite.

You need to know that velocity is the time rate of change of displacement/position. In graph form, it corresponds to the slope at a given point in the displacement-time graph.

You should have enough here to answer the question.

Note that you need to know the physical meaning of all of this. It is not enough to just know/memorize the equation without understanding what it means.

Zz.
 

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