What does velocity add to a movement vector?	Elapsed time, so the note can say how fast the point moved, not only where it moved.	topicladder math math
What breaks the calculation first?	Missing units, missing elapsed time, or positions from different coordinate systems.	topicladder math math
Why keep raw positions?	Raw samples show jitter, tracking failures, and whether smoothing hid a real change.	topicladder math math
What is the useful proof?	A small note with two positions, delta vector, speed, unit direction, and a repeat-check question.	topicladder math math
What does the 'Name both samples' step prove?	A motion claim starts with two positions in the same coordinate system. Check: Your note lists before/after position, units, and timestamps or frame numbers.	topicladder math math
What does the 'Subtract to get movement' step prove?	The delta vector points from the earlier position to the later position. Check: You can say which way the object moved and how far in project units.	topicladder math math
What does the 'Divide by elapsed time' step prove?	Velocity is movement per second, per frame, or per sample interval. Check: Your speed uses the same units as the position and the real time interval.	topicladder math math
What does the 'Inspect jitter before smoothing' step prove?	Trackers, cameras, sensors, and game loops can produce noisy positions. Check: Your note says what raw motion looked like before applying any smoothing.	topicladder math math
When would you use `delta = position_now - position_before`?	Use it to find the movement arrow. Expected signal: The result points from the old position toward the new one	topicladder math command
When would you use `velocity = delta / elapsed_seconds`?	Use it to turn movement into speed and direction. Expected signal: Velocity keeps direction while scaling by time	topicladder math command
When would you use `raw_positions -> delta_vectors -> optional_smoothing`?	Use it to smooth only after reading the raw track. Expected signal: The smoother may reduce jitter but can hide quick turns	topicladder math command
Where can you review the full Motion Tracking with Vector Velocity context?	Use the TopicLadder page for the text lesson, examples, downloads, and practice task: https://topicladder.com/learn/motion-tracking-vector-velocity/	topicladder math math source