1. Physical Science Lecture 6 Instructor: John H. Hamilton

2. Lecture overview Position – Coordinate system Change in position with respect to time – Velocity Average velocity Instantaneous velocity Speed Graphical analysis – Slopes – Areas

3. Position Position describes an objects location within space – For complete description we need 3 dimensions. But in many instances for analysis we can get by with 2 or even one dimension

4. Position examples

5. Motion is relative Motion is always relative to a reference frame – This is because if something is moving what we observe is it moving relative to something else Examples – On a train – On the earth

6. Change in Position with respect to time Velocity- change in position with respect to time. Includes both the magnitude and direction. Example 45 km/hr North – Average velocity- this is the average velocity a body experiences over a given amount of time. It can be found be dividing the total change in displacement by the total time elapsed during that displacement – Instantaneous velocity-this is the velocity of an object at any given instant in time. Speed- is the magnitude of velocity without direction. Example- 45 km/hr – instantaneous – average

7. Velocity example Making a round trip

8. Velocity example Going around a curve

9. Velocity example Taking a trip where ones speed varies

10. Analyzing graphs for position and Velocity Remember the tables and graphs from the lecture on graphing

11. Distance tables The first table shows the distance travelled by an object that is having its velocity increased constantly. The second table is of an object whose velocity is constant Distance travelled by Falling Objectdistance travelled by car on hwy time (s)distance (m)time (hr)Distance (km) 0.0 0 1.04.91.098 2.019.62.0196 3.044.13.0294 4.078.54.0392 5.0122.65.0490 6.0176.66.0588 7.0240.37.0686 8.0313.98.0784 9.0397.39.0882 10490.510980

12. Constant Velocity

13. Velocity increasing at a constant rate

14. Velocity can be thought of… As the slope of the curve or line on a displacement/time graph. The slope of the curve at any particular point can be used to describe the Instantaneous velocity

15. Plotting velocity as a function of time If we plot velocity with respect to time then – The area under the curve represents the distance travelled

16. Constant velocity

17. Velocity increasing at a constant rate

18. Lecture Review Position – Coordinate system Change in position with respect to time – Velocity Average velocity Instantaneous velocity Speed Graphical analysis – Slopes – Areas

19. Recommended activities Make the spreadsheet that shows velocity of a falling object as a function of time for 20 seconds. Estimate the distance the object has traveled after 5 seconds, after 15 seconds, and after 20 seconds by estimating the area Make the spreadsheet that shows position of a falling object and estimate the velocity at 5 seconds, 15 seconds, and thirty seconds