l how do you think scientists can visualize acceleration? a motion graph l what are the two kinds of...
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![Page 1: L How do you think scientists can visualize acceleration? A motion graph l What are the two kinds of graphs we have discussed? Position vs. Time Speed](https://reader030.vdocuments.us/reader030/viewer/2022033104/56649e765503460f94b780d4/html5/thumbnails/1.jpg)
How do you think scientists can visualize acceleration?• A motion graph
What are the two kinds of graphs we have discussed?• Position vs. Time• Speed vs. Time
Jennifer Brown
GRAPHING MOTION
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The position vs. time position vs. time graph is a curve when there is acceleration.
The car covers more distance each second, so the position vs. time graph gets steeper each second.
Jennifer Brown
Sections 4.1-4.3
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When a car is slowing down, the speed decreases so the car covers less distance each second.
The position vs. time graph gets shallower with time.
Jennifer Brown
Sections 4.1-4.3
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Jennifer Brown
Sections 4.1-4.3
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An object is in free fallfree fall if it is accelerating due to the force of gravity and no other forces are acting on it.
http://fragg.me/video/solving-rubiks-cube-skydiving
Jennifer Brown
Sections 4.1-4.3
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SECTION 4.2 – GRAPHING MOTIONSECTION 4.2 – GRAPHING MOTION : :
Constant speed –• the speed stays the same
An object moving at constant speed always creates a position vs. time graph that is a straight line.
Sections 4.1-4.3October 19-20, 2011
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Graphs of Motion:
• The data shows the runner took 10 seconds to run each 50-meter segment.
• Because the time was the same for each segment, you know the speed was the same for each segment.
Sections 4.1-4.3October 19-20, 2011
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Sections 4.1-4.3October 19-20, 2011
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You can use position versus time graphs to compare the motion of different objects.
The steeper the line on a position vs. time graph means a• faster speed.
Is this a direct or indirect relationship?• Direct relationship
Sections 4.1-4.3October 19-20, 2011
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The steepness of a line is measured by finding its slope.
The slope of a line is the ratio of the “rise” (y axis) to the “run” (x axis).
Sections 4.1-4.3October 19-20, 2011
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Sections 4.1-4.3October 19-20, 2011
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Calculating Distance (Speed Vs. Time Graphs):• Suppose we draw a rectangle on the speed vs. time
graph between the x-axis and the line showing the speed.
• The area of the rectangle is equal to its length times its height.
Sections 4.1-4.3October 19-20, 2011
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Graphical Relationships:
Sections 4.1-4.3October 19-20, 2011
No relationship between variables
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Sections 4.1-4.3October 19-20, 2011
Weak relationship between variables
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Sections 4.1-4.3October 19-20, 2011
Direct Relationship between variables
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Acceleration is easy to spot on a speed vs. time graph.
Acceleration causes the line to slope up on a speed vs. time graph.
What is the bike’s acceleration?
Jennifer Brown
Sections 4.1-4.3
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If the hill is steeper, what do you think happens to the acceleration?
• The acceleration is greater.
Jennifer Brown
Sections 4.1-4.3