Velocity from Acceleration-Time Graph

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SUMMARY

The discussion focuses on converting an acceleration-time graph into a corresponding velocity-time graph. Participants emphasize the importance of integration in this process, specifically correcting a calculation error where 3 was mistakenly multiplied by 5.6 instead of the correct value of 1.6. The need for accurate integration techniques is highlighted as essential for deriving velocity from acceleration data.

PREREQUISITES
  • Understanding of calculus, specifically integration techniques.
  • Familiarity with graph interpretation, particularly acceleration and velocity graphs.
  • Knowledge of basic physics concepts related to motion.
  • Ability to perform mathematical calculations accurately.
NEXT STEPS
  • Study integration methods in calculus, focusing on definite and indefinite integrals.
  • Learn how to sketch velocity-time graphs from acceleration-time graphs.
  • Explore physics concepts related to kinematics and motion analysis.
  • Practice problems involving the conversion between different types of motion graphs.
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone interested in understanding the relationship between acceleration and velocity in motion analysis.

aatari
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Hey Guys, I have attempted the solution and have attached the image. Would you guys please have a look and let me know if it is correct.

Thank you so much.

Homework Statement


Using the acceleration-time graph below, sketch the corresponding velocity- time graph. Show your work.

Capture.PNG


Homework Equations


None

The Attempt at a Solution



20170221_181637.jpg
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In the third line from the bottom, you multiply 3 times 5.6. Shouldn't it be 3 times 1.6?

Edit: Also, did you consider integrating?
 
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TomHart said:
In the third line from the bottom, you multiply 3 times 5.6. Shouldn't it be 3 times 1.6?

Edit: Also, did you consider integrating?
Yes you are right, it should be 1.6.
 

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