6. Let ’s Review VELOCITY is the SLOPE of a distance, position, or displacement vs. time graph.
7. Let ’s Review What is the slope doing? CHANGING, INCREASING What is the velocity doing? CHANGING, INCREASING
8. Now for Velocity vs. Time Graphs In a velocity vs. time graph, acceleration is the slope
9. Velocity vs. Time Graphs Describe the acceleration during interval A. The acceleration or SLOPE is constant and positive. Describe the acceleration during interval B. The acceleration or SLOPE is ZERO. Describe the acceleration during interval C. The acceleration or SLOPE is constant and negative.
10.
11. The Area Model How FAR did this object travel during interval A? How FAR did this object travel during interval B? How FAR did this object travel during interval c?
12.
13.
14. In summary t (s) t (s) t (s) x (m) v (m/s) a (m/s/s) slope = v slope = a area = x area = v Graph Slope Area x vs. t Velocity N/A v vs. t Acceleration Displacement a vs. t N/A Velocity Slope Graph Area x vs. t v vs. t a vs. t
22. Kinematic #2 b) How far did the boat travel during that time? 37.5 m
23. Does all this make sense? 1.5 m/s 13.5 m/s Total displacement = 7.50 + 30 = 37.5 m = Total AREA under the line.
24. Kinematic #3 Example: You are driving through town at 12 m/s when suddenly a ball rolls out in front of your car. You apply the brakes and begin decelerating at 3.5 m/s/s. How far do you travel before coming to a complete stop? 20.57 m What do I know? What do I want? v o = 12 m/s x = ? a = -3.5 m/s/s V = 0 m/s
![CP Physics ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]](https://image.slidesharecdn.com/day9-cp-graphicalanalysis-110928161822-phpapp01/85/CP-Graphical-Analysis-1-320.jpg)
![Housekeeping ,[object Object],[object Object],[object Object],[object Object]](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)