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How do you find the average velocity over an interval?

Answer 1

Samantha Adkison

The average velocity over an interval #[a,b]# for the position function #f(t)# can be found by the difference quotient

#{f(b)-f(a)}/{b-a}#

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Answer 2

Isaiah Allen

To find the average velocity over an interval, you can use the formula:

Average velocity = (change in displacement) / (change in time)

This can also be written as:

Average velocity = (final displacement - initial displacement) / (final time - initial time)

Calculate the change in displacement by subtracting the initial displacement from the final displacement, and calculate the change in time by subtracting the initial time from the final time. Then, divide the change in displacement by the change in time to find the average velocity.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.