Velocity vs. Time Graphical Interpretation

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The discussion focuses on interpreting a velocity vs. time graph to solve for velocity, displacement, and acceleration during specified time intervals. Key points include determining velocity and displacement from graphically shaded areas, as well as calculating acceleration using the slope of the graph. The user expresses confusion about how to approach these calculations, particularly for specific time intervals. The importance of recognizing positive and negative areas on the graph for accurate displacement calculations is emphasized. Overall, the thread seeks clarification on applying graphical methods to analyze motion phases effectively.
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Homework Statement


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1) Time = 0 to 2.5s
a. What is the velocity during this time?
b. Determine the displacement traveled during this time.
c. What is the acceleration during this time?

2) Time = 5.5 to 10s
a. What is the velocity during this time?
b. Determine the displacement traveled during this time.
c. What is the acceleration during this time?

3) Find the total displacement traveled during the five different phases of motion. (Use Graphical Methods)
- I shaded the regions with a pencil for the displacement that is needed. There are supposed to be 4 triangles and one rectangle.

Homework Equations


I think:
v=d/t
a=vt
Under General: https://www.physicsforums.com/showpost.php?p=905663&postcount=2

The Attempt at a Solution


I finished all of the other questions, but the ones I listed above are the only ones I need which I find confusing and don't have any idea on how to start it off. Please help me on any of the answers to any question that you know. Help is appreciated. Thanks.
 
Last edited:
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Graphically, the velocity you can pick off the graph (it is variable during the accelerating phases); the acceleration , since a =delta v/delta t, you should be able to identify using slopes; and displacement, as you noted, is the shaded area during the given time periods, paying attention to positive and negative areas.
 
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