Many problems in applied mathematics involve finding the distance between points. If we know the coordinates of a pair of points (x1, y1) and (x2, y2), it is easy to find the distance between them by using the distance formula, which is a restatement of the Pythagorean Theorem.
In this activity you will use a pair of Motion Detectors. They will record the Cartesian x, y coordinates of a rod moving in a star-shaped pattern. The data collected by the detectors will be used to test the distance formula.
- Record the x– and y-coordinates of a rod moving in a star pattern.
- Use the recorded coordinates to calculate the distances moved between the vertices of the star.
- Compare the calculated distances with direct measurement on the star pattern.