Slope Fields Objective: To find graphs and equations of functions by the use of slope fields.
Diagrams and Motion Graphs. The slope is equal to the acceleration. Because we only consider...
Transcript of Diagrams and Motion Graphs. The slope is equal to the acceleration. Because we only consider...
![Page 1: Diagrams and Motion Graphs. The slope is equal to the acceleration. Because we only consider constant acceleration, v/t graphs will always be straight.](https://reader036.fdocuments.us/reader036/viewer/2022083008/56649f3c5503460f94c5b30d/html5/thumbnails/1.jpg)
Diagrams and Motion Graphs
![Page 2: Diagrams and Motion Graphs. The slope is equal to the acceleration. Because we only consider constant acceleration, v/t graphs will always be straight.](https://reader036.fdocuments.us/reader036/viewer/2022083008/56649f3c5503460f94c5b30d/html5/thumbnails/2.jpg)
The slope is equal to the acceleration.
Because we only consider constant acceleration, v/t graphs will always be straight lines.
Velocity vs. time graphs
![Page 3: Diagrams and Motion Graphs. The slope is equal to the acceleration. Because we only consider constant acceleration, v/t graphs will always be straight.](https://reader036.fdocuments.us/reader036/viewer/2022083008/56649f3c5503460f94c5b30d/html5/thumbnails/3.jpg)
Velocity vs. time graphs Positive velocity indicates
the object is moving away from the reference point
The x axis means v=0 Green is slower, getting
closer to zero. Purple is speeding up,
moving farther from the x axis.
![Page 4: Diagrams and Motion Graphs. The slope is equal to the acceleration. Because we only consider constant acceleration, v/t graphs will always be straight.](https://reader036.fdocuments.us/reader036/viewer/2022083008/56649f3c5503460f94c5b30d/html5/thumbnails/4.jpg)
Negative velocity indicates the object is moving toward the reference point.
Purple line – the negative Velocity “is increasing” at a
faster rate. Green line – the negative
velocity “is decreasing” relative to the reference point.
Velocity vs. time graphs
![Page 5: Diagrams and Motion Graphs. The slope is equal to the acceleration. Because we only consider constant acceleration, v/t graphs will always be straight.](https://reader036.fdocuments.us/reader036/viewer/2022083008/56649f3c5503460f94c5b30d/html5/thumbnails/5.jpg)
Velocity vs. time graphs(Acceleration)
When the slope is zero:horizontal line velocity is constant
acceleration is zero
![Page 6: Diagrams and Motion Graphs. The slope is equal to the acceleration. Because we only consider constant acceleration, v/t graphs will always be straight.](https://reader036.fdocuments.us/reader036/viewer/2022083008/56649f3c5503460f94c5b30d/html5/thumbnails/6.jpg)
Velocity vs. time graphs
When the slope of the graph is positive:the acceleration
is positive
![Page 7: Diagrams and Motion Graphs. The slope is equal to the acceleration. Because we only consider constant acceleration, v/t graphs will always be straight.](https://reader036.fdocuments.us/reader036/viewer/2022083008/56649f3c5503460f94c5b30d/html5/thumbnails/7.jpg)
Velocity vs. time graphs
When the slope of the graph is negative: the acceleration is negative
![Page 8: Diagrams and Motion Graphs. The slope is equal to the acceleration. Because we only consider constant acceleration, v/t graphs will always be straight.](https://reader036.fdocuments.us/reader036/viewer/2022083008/56649f3c5503460f94c5b30d/html5/thumbnails/8.jpg)
We cannot determine where an object’s position from a v/t
graph, only its change in position.
Velocity vs. time graphs