Finding Velocity at a Given Time on an Acceleration v Time Graph

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Homework Help Overview

The problem involves determining the velocity at a specific time (t=5 sec) from an acceleration versus time graph. Participants are exploring the relationship between area under the curve and velocity in this context.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the concept that the area under the curve relates to velocity, with some suggesting integration or calculating the area up to the specified time. There is uncertainty about how to apply these concepts correctly to find the velocity at the exact time.

Discussion Status

The discussion is ongoing, with various approaches being considered. Some participants have offered guidance on methods to find the velocity, while others are questioning the accuracy of previous calculations and interpretations.

Contextual Notes

There is mention of a specific graph labeled Particle C, and a note that an attachment has been included for reference. Participants are also addressing potential errors in calculated values.

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Homework Statement



The problem is, to find velocity at a given time (t=5 sec) on a acceleration v time graph.

Homework Equations


The Attempt at a Solution


I think the area under the curve represents the average velocity, but I really do not know how to find the velocity at THAT given time.

*Note: I included a picture on the bottom, I tried to find the area under the curve but did not come up with the correct answer. It is the graph labled Particle C
 

Attachments

  • 02.P26.jpg
    02.P26.jpg
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Last edited:
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area under the curve is the velocity.
 
You either

1. Integrate acceleration up to t=5 if acceleration is given as a function of t OR

2. Find the area under the curve within t=0 and t=5 inclusive
 
attachment is included.
 
85 ms-1 is incorrect?
 

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