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Published byAnis Cummings Modified over 8 years ago

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Graphing basics EQ: How can motion be measured, described, and analyzed with the use of a graph?

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Graphin g Specific features of the motion of objects are demonstrated by the shape and the slope of the lines on a graph. We will analyze 2 types of graphs 1. Position vs time graph 2. Velocity vs time graph

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the shape of the line on the graph (straight, curving, steeply sloped, mildly sloped, etc.) is descriptive of the object's motion. the slope of the line on a is: Calculating slope Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x- coordinates (rise/run or slope). Graphin g

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Graphing Motion Position vs time Consider a car moving at a constant velocity of +5 m/s for 5 seconds, abruptly stopping, and then remaining at rest (v = 0 m/s) for 5 seconds. The line on the position vs. time graph has a slope of +5 meters/1 second for the first five seconds. The slope of the line on the graph equals the velocity of the car. During the last 5 seconds (5 to 10 seconds), the line slopes up 0 meters. The slope of the line is 0 m/s - the same as the velocity during this time interval.

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Position changing at a constant rate = Constant velocity Slow rightward Fast rightward Slow leftwardFast leftward Position changing at a varying rate = Changing velocity Slow to fast Leftward Fast to Slow leftward Slow to Fast rightward Slope = Velocity Slope = direction of velocity

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Graphing Motion Velocity vs time Constant Velocity Consider a car moving with a constant, rightward (+) velocity of +10 m/s. A car moving with a constant velocity is a car with zero acceleration. Changing Velocity A car with a changing velocity will have an acceleration acceleration = zero, then the is a horizontal line acceleration is positive, then the slope is positive (i.e., an upward sloping line). acceleration is negative, then the slope is negative (i.e., a downward sloping line).

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Velocity changing = Constant acceleration No – Zero acceleration Slope on a V-T graph = acceleration

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The object’s velocity is increasing in the positive direction The object has a positive acceleration Same motion described by 2 different graphs P-T graph V-T graph

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