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How do you think scientists can visualize acceleration? A motion graph

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. Jennifer Brown. Sections 4.1-4.3.

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How do you think scientists can visualize acceleration? A motion graph

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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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