# A1.FIF.6 - Average rate of change of the function

- Author:
- Sharon Mahon, Tim Brzezinski

- Topic:
- Functions

**Recall that VELOCITY is a vector quantity (quantity having both MAGNITUDE and DIRECTION). SPEED, on the other hand = | VELOCITY |, thus always making it a non-negative quantity.**Thus, there are times when velocity can be negative. The following graph and table provides information with respect to a person driving away from home. Let

*t*= the number of hours that have passed. Let

*d*= this person's displacement from home. Study the graph and table carefully. (They display the same information.) Then, answer the questions that appear below the applet.

## 1.

What was the average velocity for the first half hour of your trip?

## 2.

What was your average velocity from t = 0.5 hr to t = 1 hr?

## 3.

What was your average velocity between t = 1.5 hrs to t = 2 hrs? Explain what your answer physically means with respect to the context of this story.

## 4.

What was your average velocity for the entire trip? (Assume your trip took 2.5 hours.)

## 5.

Between what two listed 1/2-hr increments was your **average speed** the greatest?