# Physics Graph Matching

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Graph matching experiment write up for calculus based physics.

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Acitivity #2Chris TurnbullExperiment #1Andrea Alonso4 September 2013Tyler SchottGraph Matching

Walking in positive direction with constant speedPrediction of Graph when walking faster

Trial of walking faster in positive direction graphed against prediction line.

PART 2To produce this target graph we would have to stand still for 1 secoond then begin to walk at a constant speed in the positive direction starting at 1 meter and ending at aprox 2.5 meters. Then stop for approximatly 3 seconds. Then walk in the negative direction at a constant speed back to aprox. 1.75 meters. Then we stand still again.

01c GRAPH MATCHINGStart at 3 meters walking in the negative direction for 3 seconds stopping at 1.5 meters. Stand still for 1 second then walk in the negative direction 1 meter in 1 second. Stand still for 2 seconds then walk in the positive direction at a constant speed for 3 seconds traveling 2.5 meters.

01D GRAPH MATCHINGTo match this graph we must stand still for 2 seconds then begin walking in the positive direction for 3 seconds traveling 1.5 meters. Then we stop walking and stand still for 2 seconds. Then begin walking in the negative direction for 3 seconds traveling 1.5 meters.

01e GRAPH MATCHINGTo match this graph, accelerate slowly to .5 m/s, then continue at that constant speed for 2 seconds. Then walk in the negative direction to .4 m/s, continue this speed for 3 seconds.

AnalysisPart II Position vs. Time Graph Matching1. Describe how you walked for each of the graphs that you matched.To produce the 01b target graph we stood still for 1 second then begin to walk at a constant speed in the positive direction starting at 1 meter and ending at approx 2.5 meters. Then stopped for approximately 3 seconds. Then we walked in the negative direction at a constant speed back to approx. 1.75 meters. Then we stood still again.For 01c we started at 3 meters walking in the negative direction for 3 seconds stopped at 1.5 meters. Stood still for 1 second then walked in the negative direction 1 meter in 1 second. Stood still for 2 seconds then walked in the positive direction at a constant speed for 3 seconds traveling 2.5 meters.2. Explain the significance of the slope of a position vs. time graph. Include a discussion of positive and negative slope.The slope is significant because it shows the velocity of the object. A positive slope means that the object is getting farther away from the sonic ranger. A negative slope means that the object is getting closer to the sonic ranger.3. What type of motion is occurring when the slope of a position vs. time graph is zero.When the slope of the position vs. time graph is zero, the object is at rest?4. What type of motion is occurring when the slope of position vs. time graph is constant?When the slope is constant, the object is moving at a constant velocity.5. What type of motion is occurring when the slope of a position vs. time is changing?When the slope of the position vs. time is changing, the object's velocity is changing.

Part III Velocity vs. Time Graph Matching7. Describe how you walked for each of the graphs that you matched.To match the 01d graph we stood still for 2 seconds then began walking in the positive direction for 3 seconds, traveling 1.5 meters. Then we stopped walking and stood still for 2 seconds. Then began walking in the negative direction for 3 seconds, traveling 1.5 meters.

To match the 01e graph, we accelerated slowly to .5 m/s, then continued at that constant speed for 2 seconds. Then walked in the negative direction to .4 m/s, then continued at this speed for 3 seconds.8. What type of motion is occurring when the slope of a velocity vs. time graph is zero?When the slope of the velocity vs. time graph is zero, the object is moving at a constant velocity.9. What type of motion is occurring when the slope of a velocity graph is not zero?When the slope of the velocity vs. time graph is not zero, the object is under acceleration.