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Home > CALC > 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.


  • 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.