Motion problems

Motion problems involve objects moving at constant or varying speeds. The core relationship is $d = vt$, where $d$ is distance, $v$ is speed (velocity), and $t$ is time. Problems may involve one or more moving objects, and may require setting up and solving equations.

Important properties

• If two objects move toward each other, their relative speed is the sum of their speeds.

• If two objects move in the same direction, their relative speed is the difference of their speeds.

• For round-trip or catch-up problems, set up equations for each part and use the total time or distance.

• Units must be consistent (e.g., all speeds in km/h, all times in hours).