### Home > APCALC > Chapter 1 > Lesson 1.4.2 > Problem 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

feet per second. He turned around twice.

He started while standing

feet from the motion detector and began to walk away from it at .He walked a total of

feet during the -second interval. Clue 1: The slope from the first point to the last point should be

, 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

because he started 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

feet.