motion graphing position vs. time graphs if intervals between distance & time intersection...
Post on 25-Dec-2015
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Motion GraphingPosition 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
time (s)
posi
tion
(m)
Motion GraphingPosition 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
posi
tion
(m)
time (s)
Motion GraphingPosition 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
posi
tion
(m)
time (s)
Motion GraphingPosition 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 = V
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. po
sitio
n (m
)
time (s)
Motion GraphingPosition 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 = V
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.
posi
tion
(m)
time (s)
Motion GraphingPosition 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.
posi
tion
(m)
time (s)
Motion GraphingVelocity vs. Time Graphs
velo
city
(m
/s)
time (s)
• If intervals between velocity & time intersection points are same; graph represents object moving with INCREASING VELOCITY; CONSTANT ACCELERATION
• a = V 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.
Motion GraphingVelocity vs. Time Graphs
velo
city
(m
/s)
time (s)
• If intervals between velocity & time intersection points are same; graph represents object moving with DECREASING VELOCITY; CONSTANT NEGATIVE ACCELERATION
• a = -V 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
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
velo
city
(m
/s)
time (s)
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 = V
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. ve
loci
ty (
m/s
)
time (s)
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 = V
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.
velo
city
(m
/s)
time (s)
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