What is velocity? Change in position over time, with direction still attached. topicladder math math What is acceleration? Change in velocity over time. topicladder math math Why write dt? Frame time decides how much velocity and position change during one update step. topicladder math math What should the note preserve? Axis, units, starting position, velocity, acceleration, dt, graph expectation, and next-frame result. topicladder math math What does the 'Name the axis' step prove? Choose the horizontal, vertical, camera, projectile, or sensor axis before changing a motion value. Check: Your note says which direction is positive and what unit the position uses. topicladder math math What does the 'Separate position from velocity' step prove? Position is where the object is; velocity is how that position changes through time. Check: You can explain whether a bug is about location, speed, or direction. topicladder math math What does the 'Let acceleration change velocity' step prove? Gravity, thrust, boost, braking, and drag-style effects usually change velocity first. Check: Your note predicts how velocity changes before checking position. topicladder math math What does the 'Read the graph before tuning' step prove? Slope and area explain why motion curves bend, flatten, or reverse. Check: You can sketch the expected curve before changing the game value. topicladder math math When would you use `position changes -> velocity clue`? Use it to read slope as speed. Expected signal: A steeper position curve means larger velocity topicladder math command When would you use `velocity changes -> acceleration clue`? Use it to read acceleration as velocity change. Expected signal: Constant negative acceleration bends vertical motion downward topicladder math command When would you use `frame time matters`? Use it to check one update step. Expected signal: A smaller time step should make each single-frame change smaller topicladder math command Where can you review the full Calculus for Game Motion context? Use the TopicLadder page for the text lesson, examples, downloads, and practice task: https://topicladder.com/learn/math/calculus-for-game-motion/ topicladder math math source