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Graph of The Motion
- 1. By iTutor.com T-1-855-694-8886 Email- [email protected]
- 2. The position vs.time graph • Motion graphs are an important tool used to show the relationships between position, speed, and time.
- 3. Graphs show relationships • A good way to show a relationship between two variables is to use a graph. • A graph makes it easy to see if changes in one variable cause changes in the other variable (the effect).
- 4. The position vs.time graph • To graph data, you put position on the vertical (y) axis . • Time goes on the horizontal (x) axis. • Data are plotted between x and y axis. Copyright reserved. 2012 The E Tutor
- 5. The position vs.time graph • An object moving at a constant speed always creates a position vs. time graph that is a straight line.
- 6. The position vs.time graph • Two variables may have: – a strong relationship, – a weak relationship, – or no relationship at all.
- 7. Graphs show relationships • This table shows how quickly the car gets from A to B as the angle of the track changes.
- 8. Graphs show relationships • If we plot the data on a graph, what kind of relationship does the graph show?
- 12. Four steps tomake a graph Step 1: Choose which will be the dependent and independent variables. The dependent variable goes on the y-axis and the independent variable goes on the x-axis. Step 2: Make a scale for each axis by counting boxes to fit your largest value. Count by multiples of 1, 2, 5, or 10. Step 3: Plot each point by finding the x-value and drawing a line upward until you get to the right y-value. Step 4: Draw a smooth curve that shows the pattern of the points. Do not just connect the dots.
- 13. Reading a graph • A graph can give you an accurate answer even without doing the experiment. • Students doing an experiment measured the speed of the car at 20, 40, 60, and 80 cm positions. • They want to know the speed at 50 cm.
- 14. Slope • You can use position vs. time graphs to quickly compare the speeds of different objects. A steeper line on a position vs. time graph means a faster speed.
- 15. Slope • The “steepness” of a line is called its slope. • Visualize a triangle with the slope as the hypotenuse. • The rise is equal to the height of the triangle. • The run is equal to the length along the base of the triangle.
- 16. Slope • The slope is the ratio of the “rise” (vertical change) to the “run” (horizontal change). • The slope is therefore a distance divided by a time, which equals speed.
- 17. Speed vs. timegraphs • The position vs. time graph has position on the y-axis and time on the x-axis. Which runner has the fastest constant speed?
- 18. Speed vs. timegraphs These graphs each show the same event. What differences do you notice?
- 19. Do these graphsdisplay the same data?
- 20. Calculating distance • A speed vs. time graph can also be used to find the distance the object has traveled.
- 21. Call us formore information: 1-855-488-8867 www.iTutor.com The End