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Condition for Instantaneous Acceleration = Average Acceleration

  • #1
navneet9431
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Homework Statement



IMG_20180701_220442.jpg
[/B]
Look at this graph.Is Instantaneous Acceleration=Average Acceleration here?
Please explain your solution.
What should be done to check whether Average Acceleration=Instantaneous Acceleration?

Homework Equations


Average Acceleration motion equations

The Attempt at a Solution


I know that Average Acceleration = (Final Velocity-Initial Velocity)/Time Interval
I can't proceed further.
I will be thankful for any help!

 

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Answers and Replies

  • #2
kuruman
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When a quantity is changing continuously within a time interval its average value is equal to its instantaneous value only once. When a quantity is constant over a time interval, its average value is always equal to its instantaneous value. Does that help? Read the graph.

On edit: Also see correction below.
 
Last edited:
  • #3
haruspex
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When a quantity is changing continuously within a time interval its average value is equal to its instantaneous value only once.
... if it is changing monotonically, that is.
 
  • #4
kuruman
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... if it is changing monotonically, that is.
Yes, thanks. Instead of "always", I should have said "only at certain times".
 

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