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Position-Time Graphs Velocity-Time Graphs. Using graphs to describe motion. The line. To begin, consider a car moving with a constant, rightward (+) velocity. Calculate the velocity of the car in the diagram below. (v = d / t) v= 10m/s. The Graph. A review: Axis The variables

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position time graphs velocity time graphs

Position-Time GraphsVelocity-Time Graphs

Using graphs to describe motion

the line
The line
  • To begin, consider a car moving with a constant, rightward (+) velocity.
  • Calculate the velocity of the car in the diagram below. (v = d / t)
  • v= 10m/s
the graph
The Graph
  • A review:
    • Axis
    • The variables
    • Point of Origin
the slope of a p t graph
The Slope of a P/T graph
  • What does the slope signify?
    • Slope = velocity
    • What is the slope of this line?
what is going on here
What is going on here?
  • What would happen if I had a horizontal line, what does that mean?
  • What about a vertical line, what would that mean?
you should be able to do
You should be able to do:
  • The object is changing its position in the north direction from 0 to 3 seconds, the velocity is uniform.
  • The object stays at the same position for about 3 seconds - its stopped for 3 seconds.
  • From the 6th to the 8th second the object is backtracking, its returning to the starting position ( our reference point ).
  • From the 8th second on the object passes the starting position and travels southward from it.
acceleration
Acceleration
  • Consider a car moving with a constant, rightward (+) velocity of +10 m/s.
  • A car moving with a constant velocity is a car moving with zero acceleration
velocity time graph
Velocity-Time Graph
  • What can you tell me about this graph?
  • What does the slope of this graph represent?
acceleration cont
Acceleration cont.
  • Since the graph is a velocity-time graph, the velocity is positive whenever the line lies in the positive region
  • Similarly, the velocity is negative whenever the line lies in the negative region
  • a positive velocity means the object is moving in the positive direction; and a negative velocity means the object is moving in the negative direction.
  • So if an object is moving in the positive direction, the line is located in the positive region of the velocity-time graph (regardless if it is sloping up or sloping down).
acceleration cont1
Acceleration cont.
  • Finally, if a line crosses the x-axis from the positive region to the negative region of the graph (or vice versa), then the object has changed directions.
example of a difficult v t graph
Example of a difficult v-t Graph
  • Our data is captured when the object is already moving, it has a constant velocity of 30m/s [N] up to the 3rd second of observation.
  • The object decelerates, reaches no velocity and then begins traveling in the south direction.
  • The object travels at a constant velocity south for 3 seconds
  • The object smoothly decelerates and comes to a stop
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