Position time graphs velocity time graphs
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Position-Time Graphs Velocity-Time Graphs PowerPoint PPT Presentation


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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

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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?


The slope of a p t graph1

The Slope of a P/T graph


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?


More examples

More Examples


Even more examples

Even more examples


What is the difference here

What is the difference here?


Try something different

Try something different


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).


Ex velocity time graph

Ex: Velocity-Time Graph


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.


Acceleration vs acceleration

(+) Acceleration vs (-) Acceleration


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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