DISPLACEMENT-TIME graphs question

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In summary, the conversation discusses a displacement-time graph with linear lines and coordinates (0,0), (3,-3), (5,-3), and (9,5). The question involves calculating the velocity for each section and determining the total distance traveled in 9 seconds. The formula v=d/t is referenced to find the velocity in each section.
  • #1
Rasofia
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1. It's a displacement time graph with coordinates (0,0), (3,-3),(5,-3), (9,5) The lines are all linear.
The question first asks 'Calculate the velocity for each section 0-3s, 3-5s,5-9s. I know how to do that part (it's -1m/s, 0m/s, and 2m/s).
But the other part of the question asks: What distance has been traveled in 9s?
How can I find the distance traveled in the total 9 seconds with a displacement/time graph??
(By the way, displacement is the y-axis, time is the x-axis)
 
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  • #2
I'm sure you know this equation
[tex]v=\frac{d}{t}[/tex]
and just do it in sections
 

Related to DISPLACEMENT-TIME graphs question

What is a displacement-time graph?

A displacement-time graph is a visual representation of the relationship between an object's displacement and time. It plots the displacement of an object on the vertical axis and time on the horizontal axis.

How is displacement calculated from a displacement-time graph?

The displacement of an object at any given time can be calculated by finding the difference between the initial and final position of the object on the graph. This difference is equal to the object's displacement.

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

A straight line on a displacement-time graph indicates that the object is moving at a constant velocity. The slope of the line represents the velocity of the object.

How can the speed of an object be determined from a displacement-time graph?

The speed of an object can be determined by finding the slope of the line on a displacement-time graph. The steeper the slope, the greater the speed of the object. The units on the slope will be in distance over time, such as meters per second.

What does a curved line on a displacement-time graph indicate?

A curved line on a displacement-time graph indicates that the object is accelerating. The steeper the curve, the greater the acceleration of the object. The slope of the line at any given point represents the velocity of the object at that point in time.

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