CPM Homework Help : CALC3RD Problem 1-194

NOT AGAIN!

Theo has done it again. Before he lost his graph, he used it to determine the following properties of his motion. Help him re-create a possible graph of this motion.

Details:

He changed directions three times during his $8$ -foot walk.
His average velocity was $0$ feet per second.
Theo walked for $6$ seconds and started $5$ feet from the motion detector.

Hint 1:

Clue 1: A change in direction means the slope goes from positive to negative or negative to positive. An $8$ -foot walk means that, when you add together all the distances traveled between each high and low point on the graph, the sum is $8$ .

Hint 2:

Clue 2: An average velocity of $0$ means that Theo should end exactly where he started.

Hint 3:

Clue 3: If Theo walked for $6$ seconds, then the domain of the graph is restricted to $0≤x≤6$ . If Theo started $5$ feet from the motion detector, then the $y$ -intercept is $(0,5)$