IXL - Velocity as a rate of change (Calculus practice)

A particle is moving along a line. Its displacement (in

centimeters

)

after

minutes

is:

(

)

–

Find the average velocity over the interval

[

]

Write your answer as an integer, fraction, or decimal rounded to the nearest tenth. Simplify any fractions.

centimeters

per

minute

ref_doc_title.

Learn with an example

question

A particle is moving along a line. Its displacement (in

meters

)

after

hours

is:

(

)

–

Find the average velocity over the interval

[

]

Write your answer as an integer, fraction, or decimal rounded to the nearest tenth. Simplify any fractions.

meters

per

hour

key idea

Displacement measures both distance and direction along a line. For example, a displacement of

–

meters along a vertical line means 3 meters downward, whereas a displacement of 3 meters along a vertical line means 3 meters upward.

When the displacement of a particle moving along a line is given by

(

)

the average velocity over the interval

[

]

is:

(

)

–

(

)

–

It is the average rate of change of the displacement function

(

)

between

and

solution

To find the average velocity, first evaluate

(

)

–

at the end points of

[

]

(

)

(

)

–

(

)

(

)

–

Find the average velocity over the interval

[

]

(

)

–

(

)

–

To the nearest tenth, the average velocity is

meters

per

hour

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Work it out

Not feeling ready yet? These can help:

F.2Average rate of change II

F.3Find instantaneous rates of change

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