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U2 Cn2 Graphing Position And Velocity
The document discusses position vs time graphs and velocity vs time graphs. It explains that position is graphed on the y-axis and time on the x-axis for position graphs. Velocity can be determined from the slope of the position graph. Velocity graphs show velocity directly on the y-axis rather than as a slope. Both graph types can provide information about an object's speed and whether it is slowing down, speeding up or stopping.
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U2 Cn2 Graphing Position And Velocity
- 1. Position vs TimeGraphs Unit 2 Lesson 2 E. Alexander Burt Potomac School
- 2. Position vs TimeThe position will be on the vertical axis – that means the “y-axis” will actually be the x!!
- 3. Time will beon the horizontal axis.
- 4. Reading position froma graph To get the position from a graph of x vs. t: Find that point in time on the horizontal axis
- 5. Find the curveand go to the vertical axis to find the position. In the graph below, for example, the object has a position of 30 m at a time of 3 seconds.
- 6. Reading Velocity froma Position Time Graph Recall from the previous class that velocity is the slope of the position – time graph.
- 7. If the slopeis constant, the job is easy: calculate it!
- 8.
- 9. If the slopechanges... To compute the average velocity between two positions, draw a straight line between the two points Compute the slope of that line and you're done! To compute the instantaneous velocity at a point, draw a tangent line to the graph at that point Now compute the slope of that tangent line
- 10. It is alsopossible to graph velocity vs time In this case, we can read the velocity directly from the graph – it's not the slope anymore.
- 11. We can alsotell how the velocity is changing.
- 12.
- 13. V vs tencore In a position time graph: steeper slope = faster
- 14. In a velocitytime graph: farther from the axis = faster.
- 15. In a positiontime graph: crossing the t axis means object passes the origin
- 16. In a velocitytime graph, crossing the t-axis means object stops on its way from positive to negative velocity. (or vice versa)