Velocity & Displacement Graphing

In summary, velocity refers to an object's speed and direction of motion, while displacement is the distance and direction an object has moved from its starting point. A velocity vs. time graph shows an object's velocity at different points in time and the slope represents the object's acceleration while the area under the line represents the object's displacement. The slope of a displacement vs. time graph represents the object's velocity and can be used to determine the average velocity by finding the slope of the line connecting the initial and final positions. The area under a velocity vs. time graph represents the object's displacement, with a larger area indicating a greater displacement.
  • #1
lindseyam
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Homework Statement



I just want to know how you determine the acceleration on a velocity vs. time graph and how to determine the velocity on a displacement vs. time graph.

Homework Equations





The Attempt at a Solution

 
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  • #2
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Velocity is the slope of the displacement-vs-time graph.

Similarly, acceleration is the slope of the velocity-vs-time graph.
 

Related to Velocity & Displacement Graphing

1. What is the difference between velocity and displacement?

Velocity refers to an object's speed and direction of motion, whereas displacement is the distance and direction an object has moved from its starting point.

2. How do you interpret a velocity vs. time graph?

A velocity vs. time graph shows an object's velocity at different points in time. The slope of the line represents the object's acceleration, while the area under the line represents the object's displacement.

3. What is the significance of the slope of a displacement vs. time graph?

The slope of a displacement vs. time graph represents the object's velocity. A steeper slope indicates a higher velocity, while a flatter slope indicates a lower velocity.

4. How can you use a displacement vs. time graph to determine an object's average velocity?

The average velocity can be determined by finding the slope of the line connecting the initial and final positions on a displacement vs. time graph.

5. What is the relationship between the area under a velocity vs. time graph and an object's displacement?

The area under a velocity vs. time graph represents the object's displacement. The larger the area, the greater the displacement of the object.

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