Understanding Velocity vs Time Graphs for Horizontal Motion

In summary, the slope of the velocity-time graph represents the acceleration of the object, with positive slope indicating acceleration in the positive direction and negative slope indicating acceleration in the negative direction. The height of the graph is the velocity, with values below the zero line indicating movement in the negative direction and values above the zero line indicating movement in the positive direction. Additionally, a positive slope below the zero line indicates the object is moving backwards faster, while a positive slope above the zero line indicates the object is slowing down.
  • #1
Fated
3
0
Quick question about translating what's on the Velocity vs Time graph into what is actually happening to the object. A cart is traveling on a straight horizontal track. So I determined that east is positive direction. So, if the velocity vs time graph is showing a negative slope of -0.2 does that mean that the cart is going backwards due west? (Vise versa, If cart has positive slope it is going forward?) If not what is the cart actually doing?
 
Physics news on Phys.org
  • #2
If the value of the velocity-time graph were -0.2, then it would be going backwards.

The slope of the velocity-time graph represents the acceleration of the object (in this case, it's slowing down).
 
  • #3
What do you mean the value? The line's starting position is at 9seconds on the velocity of -1.0. It has a positive slope of 0.2 and stops at 12seconds at -0.4. So this line is under the 0 line. So if it is under the line, with a positive slope what does that mean?
 
  • #4
°By "value" I mean the "y-coordinate" a.k.a. the height of the graph. (Sorry, I can't think of a better way to say it.)

So if the height of the graph is negative, (in other words, if the graph is below the time axis) then the velocity is in the negative direction (a.k.a. "backwards")


If the slope is positive, that means there is acceleration in the positive ("forwards") direction. If the slope is negative, then the acceleration is in the "backwards" direction. If the slope is zero, then there is no acceleration.

To summarize:
The height of the graph is the velocity, and the slope of the graph is acceleration.



Fated said:
What do you mean the value? The line's starting position is at 9seconds on the velocity of -1.0. It has a positive slope of 0.2 and stops at 12seconds at -0.4. So this line is under the 0 line. So if it is under the line, with a positive slope what does that mean?
The direction of the slope (either positive or negative) tells you the direction of the acceleration.

So if you're moving in the positive direction with a positive slope, then you will be speeding up
(you will be increasing your speed in the positive direction)

If you're moving in the negative direction with a negative slope, then you will still be speeding up
(but you will be increasing your speed in the negative direction)

If you're moving in the positive direction with a negative slope (or if you're moving in the negative direction with a positive slope) then you will be slowing down.



To summarize:
If the graph is sloping towards the "zero line" then you are slowing down.
If it is sloping away from the zero line, you are speeding up.
"Positive" and "negative" are just directions.
 
  • #5
Thanks a lot :) I got it now. I was mainly confused on what was happening below the x axis. But now I understand that when the line has a negative slope under the x axis, the object is moving backwards faster vs. positive slope, the object is slowing down!
 

What is kinematics?

Kinematics is the branch of physics that studies the motion of objects without considering the forces that cause the motion. It focuses on describing the position, velocity, and acceleration of an object over time.

What is a graphical argument in kinematics?

A graphical argument in kinematics is a method of analyzing motion by graphing the position, velocity, or acceleration of an object over time. It involves plotting data points on a graph and using the shape of the graph to understand the motion of the object.

How is position represented on a kinematics graph?

Position is represented on a kinematics graph as the vertical axis, also known as the y-axis. The position of an object at a specific time can be determined by finding the data point on the y-axis that corresponds to that time.

What does a straight line on a velocity-time graph indicate?

A straight line on a velocity-time graph indicates that the object is moving with a constant velocity. The slope of the line represents the velocity of the object. A steeper slope indicates a higher velocity, while a flatter slope indicates a lower velocity.

How can acceleration be determined from a kinematics graph?

Acceleration can be determined from a kinematics graph by finding the slope of the line on a velocity-time graph or the second derivative of the position-time graph. The slope of the line represents the change in velocity over time, while the second derivative represents the change in acceleration over time.

Similar threads

  • Introductory Physics Homework Help
Replies
13
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
2K
  • Introductory Physics Homework Help
Replies
3
Views
4K
  • Introductory Physics Homework Help
Replies
4
Views
4K
  • Introductory Physics Homework Help
Replies
7
Views
3K
  • Introductory Physics Homework Help
Replies
13
Views
2K
  • Introductory Physics Homework Help
Replies
7
Views
4K
  • Introductory Physics Homework Help
Replies
11
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
11K
  • Introductory Physics Homework Help
Replies
8
Views
5K
Back
Top