Why does the slope of a PT Graph equal the VT graph?

  • Thread starter Thread starter am2010
  • Start date Start date
  • Tags Tags
    Graph Slope
Click For Summary

Homework Help Overview

The discussion revolves around the relationship between position-time (PT) graphs and velocity-time (VT) graphs in the context of kinematics. The original poster seeks to understand why the slope of a PT graph corresponds to the values represented in a VT graph.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the definitions and implications of slope in the context of PT and VT graphs. Some clarify the types of graphs being discussed, while others question the meaning of slope and its relation to velocity.

Discussion Status

The discussion is active, with participants providing clarifications and exploring the definitions related to the graphs. There is an ongoing examination of the concept of slope and its significance in understanding the relationship between position and velocity.

Contextual Notes

There are some uncertainties regarding the specific types of graphs being referenced, as participants initially mention different graph types before converging on position-time and velocity-time graphs. This may indicate a need for clearer definitions or assumptions in the discussion.

am2010
Messages
15
Reaction score
0
Can someone please explain this to me (please see title)? I understand how to compute it but why is this so?

Thanks
 
Physics news on Phys.org
You mean momentum-time graph and velocity-time graph?
 
or is it the pressure-temperature and volume-temperature graph for ideal gases?
 
I mean Position-Time and Velocity-Time.
 
What does slope mean?

Slope = \frac{\Delta Y}{\Delta X}

What is your Y-axis? position (meters)
What is your X-axis? time (seconds)

Therefore,

Slope = position/time = meters/seconds = velocity

Velocity is the change of rate of change of position per unit time.
 

Similar threads

Slope of N - t graph of radioactive decay
  • · Replies 2 ·
Replies
2
Views
982
Solving Distance Traveled Using Formulas vs. Graphs
  • · Replies 6 ·
Replies
6
Views
2K
Speed of sound from resonant length of tube vs tuning fork wavelengths
  • · Replies 16 ·
Replies
16
Views
3K
Inconsistency in a Velocity-Time Graph
  • · Replies 13 ·
Replies
13
Views
4K
C 12B 2021 #23Analyzing Motion Graphs: Understanding Slopes and Acceleration
  • · Replies 2 ·
Replies
2
Views
2K
Graphs of RC Circuit Responses
  • · Replies 3 ·
Replies
3
Views
1K
Comparing slopes and accelerations in a graph
  • · Replies 5 ·
Replies
5
Views
2K
Finding the slope of a log-log graph?
  • · Replies 11 ·
Replies
11
Views
6K
Graphing Elastic Potential Energy
  • · Replies 10 ·
Replies
10
Views
2K
Difficulty Understanding 'Drag Crisis' (transitionary period from laminar to turbulent flow)
  • · Replies 1 ·
Replies
1
Views
1K