Velocity Time graphs and Displacements

In summary, the conversation discusses how to calculate the total displacement of a graph by using the equation A=1/2bh and A=bh. The line crossing the x-axis represents the 0 point and the negative values on the y-axis indicate the direction of velocity. The solution to this problem can be found by using the equation v=d/t and analyzing the graph.
  • #1
amd123
110
0

Homework Statement


How do i figure out the TOTAL displacement of this graph
http://img186.imageshack.us/img186/7677/36947032we7.jpg

Homework Equations



I'm guessing A=1/2bh
and A = bh

The Attempt at a Solution



I've got no idea due to the line crossing the X axis
 
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  • #2
ask yourself what velocities you're seeing. velocities include direction.

the Y - axis is telling you the velocity of the object, whereas the x-axis is telling you the time. you can tell the y-axis is velocity because of the negative values towards the bottom of the y axis. you can't see the negative values but they're there. remember the equation v = d/t :)
 
  • #3
the line crossing the x-axis is simply the line that tells you the 0 point. it plays no significance unless your graphing line passes it. at the point that it passes that horizontal x-axis line, that would tell you your velocity is 0 m/s.
 
  • #4
This problem is quite common in classrooms. The answer, along with the proper work, can be found at "www.youtube.com/watch?v=Yu_moia-oVI"[/URL].
 
Last edited by a moderator:

1. What is a velocity-time graph?

A velocity-time graph is a graphical representation of an object's velocity over a period of time. The slope of the graph at any point represents the object's instantaneous acceleration.

2. How is displacement related to a velocity-time graph?

Displacement is the area under a velocity-time graph. This means that the displacement can be calculated by finding the area of the triangle, rectangle, or trapezoid formed by the graph and the time axis.

3. What do different slopes on a velocity-time graph indicate?

The slope of a velocity-time graph represents the object's acceleration. A positive slope indicates a constant positive acceleration, a negative slope indicates a constant negative acceleration, and a zero slope indicates a constant velocity.

4. How can you calculate average velocity from a velocity-time graph?

The average velocity can be calculated by finding the slope of the line connecting two points on the velocity-time graph. This can be done by dividing the change in displacement by the change in time between the two points.

5. How can you determine if an object is at rest from a velocity-time graph?

If an object is at rest, the velocity-time graph will be a horizontal line at the x-axis, indicating that the velocity is consistently zero. This means there is no change in displacement over time, and the object is not moving.

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