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Visualizing Acceleration: Understanding Motion Graphs

Learn how scientists visualize acceleration through position vs. time and speed vs. time graphs. Discover insights about motion behaviors and relationships using graphical representations. Explore the impact of acceleration on motion through practical examples. Improve your grasp on motion concepts with clear explanations and illustrative graphs. 8 Relevant

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Visualizing Acceleration: Understanding Motion Graphs

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  1. Jennifer Brown GRAPHING MOTION • 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

  2. Jennifer Brown Sections 4.1-4.3 • The 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.

  3. Jennifer Brown Sections 4.1-4.3 • 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.

  4. Jennifer Brown Sections 4.1-4.3

  5. Jennifer Brown Sections 4.1-4.3 • An object is in free fallif 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

  6. Sections 4.1-4.3October 19-20, 2011 SECTION 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.

  7. Sections 4.1-4.3October 19-20, 2011 • 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.

  8. Sections 4.1-4.3October 19-20, 2011

  9. Sections 4.1-4.3October 19-20, 2011 • 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

  10. Sections 4.1-4.3October 19-20, 2011 • 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).

  11. Sections 4.1-4.3October 19-20, 2011

  12. Sections 4.1-4.3October 19-20, 2011 • 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.

  13. Sections 4.1-4.3October 19-20, 2011 • Graphical Relationships: No relationship between variables

  14. Sections 4.1-4.3October 19-20, 2011 Weak relationship between variables

  15. Sections 4.1-4.3October 19-20, 2011 Direct Relationship between variables

  16. Jennifer Brown Sections 4.1-4.3 • 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?

  17. Jennifer Brown Sections 4.1-4.3 • If the hill is steeper, what do you think happens to the acceleration? • The acceleration is greater.

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