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