### Home > APCALC > Chapter 1 > Lesson 1.4.2 > Problem1-155

1-155.

After Theo used the motion detector, he used his distance-time graph to determine the following properties of his motion. However, he has lost a copy of his graph. Help him re-create a possible graph of his motion.
Details:

• His average velocity was $0.5$ feet per second.

• He turned around twice.

• He started while standing $3$ feet from the motion detector and began to walk away from it at $t = 0$.

• He walked a total of $9$ feet during the $10$-second interval.

Clue 1: The slope from the first point to the last point should be $0.5$, since that was the average velocity.

Clue 2: The graph's slope should change its positivity/negativity twice, because Theo turned around twice.

Clue 3: The first point should be $(0,3)$ because he started $3$ feet away from the motion detector.

Clue 4: Your graph should consist of straight line segments, so that you can measure their length using the Pythagorean Theorem to make sure they total $9$ feet.