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**Motion Graphing Position vs. Time Graphs**

If intervals between distance & time intersection points are same; graph represents object moving at CONSTANT VELOCITY; NO ACCELERATION a = 0 SLOPE of a distance/time graph represents the VELOCITY of the object greater slope = greater velocity SIGN of slope on a distance/time graph indicates DIRECTION of object’s travel POSITIVE (+) slope above x-axis indicates travel AWAY from origin position (m) time (s)

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**Motion Graphing Position vs. Time Graphs**

If intervals between distance & time intersection points are same; graph represents object moving at CONSTANT VELOCITY; NO ACCELERATION a = 0 SLOPE of a distance/time graph represents the VELOCITY of the object greater slope = greater velocity SIGN of slope on a distance/time graph indicates DIRECTION of object’s travel NEGATIVE (-) slope above x-axis indicates travel TOWARDS origin position (m) time (s)

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**Motion Graphing Position vs. Time Graphs**

If graph has a SLOPE of ZERO; object has a VELOCITY and ACCELERATION of ZERO and is at rest in the same position. NO MOTION slope = 0 Vav = 0 a = 0 position (m) time (s)

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**Motion Graphing Position vs. Time Graphs**

If intervals between distance & time intersection points are increasing; graph represents object with INCREASING VELOCITY. VELOCITY NOT CONSTANT Object has POSITIVE (+) ACCELERATION a = DV D t Average velocity (vav) is the slope of the line between any two points on the position-time graph. Instantaneous velocity (vinst) is the slope of the tangent line through one point on the position-time graph. position (m) time (s)

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**Motion Graphing Position vs. Time Graphs**

If intervals between distance & time intersection points are increasing; graph represents object with INCREASING VELOCITY. VELOCITY NOT CONSTANT Object has NEGATIVE (-) ACCELERATION due to direction a = DV D t Average velocity (vav) is the slope of the line between any two points on the position-time graph. Instantaneous velocity (vinst) is the slope of the tangent line through one point on the position-time graph. position (m) time (s)

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**Motion Graphing Position vs. Time Graphs**

Graph of a VERTICAL line is UNDEFINED Slope of line DOES NOT equal zero. Object cannot be doing TWO things at SAME time. position (m) time (s)

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**Motion Graphing Velocity vs. Time Graphs**

If intervals between velocity & time intersection points are same; graph represents object moving with INCREASING VELOCITY; CONSTANT ACCELERATION a = DV D t SLOPE of a velocity/time graph represents the ACCELERATION of the object greater slope = greater acceleration SIGN of slope on a velocity/time graph indicates change in velocity POSITIVE (+) slope indicates object increasing speed Positive slope below x-axis indicates object decreasing speed There is NO RELATIONSHIP between object and ORIGIN shown on graph. velocity (m/s) time (s)

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**Motion Graphing Velocity vs. Time Graphs**

If intervals between velocity & time intersection points are same; graph represents object moving with DECREASING VELOCITY; CONSTANT NEGATIVE ACCELERATION a = -DV D t SLOPE of a velocity/time graph represents the ACCELERATION of the object greater slope = greater acceleration SIGN of slope on a velocity/time graph indicates change in velocity NEGATIVE (-) slope indicates object decreasing velocity Negative slope below x-axis indicates object increasing velocity velocity (m/s) time (s)

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**Motion Graphing *Velocity vs. Time Graphs**

If graph has a SLOPE of ZERO; object has a CONSTANT VELOCITY and ACCELERATION of ZERO. MOTION at a constant velocity slope = 0 Vav = constant a = 0 velocity (m/s) time (s)

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**Motion Graphing Velocity vs. Time Graphs**

If intervals between velocity & time intersection points are increasing; graph represents object with increasing ACCELERATION. Object has POSITIVE (+) ACCELERATION a = DV D t Average acceleration (aav) is the slope of the line any two points on the velocity-time graph. Instantaneous acceleration (ainst) is the slope of the tangent line through one point on the velocity-time graph. velocity (m/s) time (s)

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**Motion Graphing Velocity vs. Time Graphs**

If intervals between velocity & time intersection points are increasing; graph represents object with decreasing ACCELERATION. Object has NEGATIVE (-) ACCELERATION -a = DV D t Average velocity (vav) is the slope of the line between any two points on the position-time graph. Instantaneous velocity (vinst) is the slope of the tangent line through one point on the position-time graph. velocity (m/s) time (s)

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