Condition for Instantaneous Acceleration = Average Acceleration

[navneet9431]

Homework Statement

[/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!

 

[kuruman]

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.

 

[haruspex]

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.

 

[kuruman]

... if it is changing monotonically, that is.

Yes, thanks. Instead of "always", I should have said "only at certain times".