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## Describing Motion with Diagrams

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**Describing Motion with Diagrams**• Ticker Tape Diagrams**Ticker Tape Diagrams**The distance between dots represents the object’s change in position during that time interval**Ticker Tape Diagram**A changing distance between dots indicates a changing velocity – acceleration**Graphing Motion**ZERO MOTION The object is at rest Position-time graph (x vs t) position of an object remains constant over time Velocity-time graph (v vs t) object is not moving, it has 0 velocity Acceleration-time graph (a vs t) If the object’s velocity is not changing, its acceleration is 0 Sketch above graphs**Graphing Motion**Uniform Motion – Constant Velocity x vs t graph as time increases so does the position *slope of a x vs t graph = velocity v vs t graph velocity remains constant over time *this should reflect the value of the slope of the x vs t graph a vs t graph velocity is not changing, acceleration is 0 *slope of a v vs t graph is acceleration**Graphing Motion**Uniform Accelerated Motion x vs t graph – position is increasing exponentially with time (acceleration) v vs t graph – velocity is increasing with time (acceleration) a vs t graph – acceleration is constant. • The value of a is equal to the slope of the v vs t graph • Acceleration will always be a horizontal line**Position time graph**x Tangent Lines t On a position vs. time graph:**Position time graph**x t Increasing & Decreasing Increasing Decreasing On a position vs. time graph: Increasing means moving forward (positive direction). Decreasing means moving backwards (negative direction).**Position time graph**x t Concavity On a position vs. time graph: Concave up means positive acceleration. Concave down means negative acceleration.**Describe the motion**• This object is moving in the positive direction and accelerating in the positive direction (speeding up). • This object is moving in the negative direction and accelerating in the negative direction (speeding up). • This object is moving in the negative direction and accelerating in the positive direction (slowing down).**Area under a v vs t graph**The area of a v vs t graph is displacement