6. VELOCITY is the SLOPE of a distance, position, or displacement vs. time graph.

7. What is the slope doing? CHANGING, INCREASING What is the velocity doing? CHANGING, INCREASING

9. 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. What is the acceleration(slope) doing? The acceleration is INCREASING!

13. The slopes help us sketch the motion of other graphs! Graphs of an object moving with negative acceleration

15. 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?

17.  v What is the change in Velocity during the t=2 to t=4 interval?

18. 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

21. t (s) v (m/s) t (s) a (m/s/s) t (s) a (m/s/s) t (s) a (m/s/s) What is the SLOPE(a) doing? The slope is increasing

26. b) How far did the boat travel during that time? 37.5 m

27. 1.5 m/s 13.5 m/s Total displacement = 7.50 + 30 = 37.5 m = Total AREA under the line.

28. 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