What does the graph look like if a = 0?

  • Thread starter Thread starter dg_5021
  • Start date Start date
  • Tags Tags
    Graph
Click For Summary

Homework Help Overview

The discussion revolves around the graphical representation of the equation x = xo + v0t + (1/2)at^2, specifically focusing on the scenario where acceleration (a) equals zero. Participants are exploring the implications of this condition on the shape of the graph of position (x) versus time (t).

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the nature of the graph when acceleration is zero, with some suggesting it would be linear while others consider the implications of initial velocity. There is also a mention of how the graph would differ if initial velocity were zero or negative.

Discussion Status

The discussion is active, with various interpretations being explored regarding the graph's shape under different conditions. Some participants provide insights into the linearity of the graph when acceleration is absent, while others reflect on the role of initial velocity.

Contextual Notes

There is an implicit assumption regarding the initial velocity (v0) and its potential values, which influences the discussion on the graph's characteristics.

dg_5021
Messages
80
Reaction score
0
For the equation x = xo + volt + (1/2)at^2, what does a graph of x versus t look like? What does the graph look like if a = 0?
 
Physics news on Phys.org
1. parabolic
2. linear
 
if a = 0 it would look like a linear graph as in / considering v0 doesn't equal zero or is negative
otherwise it would look like x^2 just that it's moved to the left:


a+bx+cx^2:
Code:
   |  ||
   |  ||
   \__|/
______|_
      |

x^2:
Code:
   | | |
   | | |
   \_|_/
_____|___
     |
 
When there is acceleration, the graph would be parabolic because of the t^2

when a=0, there is only velocity and so the graph would be only a linear slope
 

Similar threads

  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 7 ·
Replies
7
Views
4K
  • · Replies 19 ·
Replies
19
Views
2K
  • · Replies 4 ·
Replies
4
Views
1K
Replies
25
Views
3K
Replies
5
Views
3K
Replies
6
Views
2K