1. t=0 Position (m) Time (s) 5 10 1.02.0 t=0.5 t=1.0 st=1.5 st=2.0 st=2.5 t=3.0 s

2. t=0 t=0.5 t=1.0 st=1.5 st=2.0 st=2.5 t=3.0 s Position (m) Time (s) 5 10 1.02.0

3. t=0 t=0.5 t=1.0 st=1.5 st=2.0 st=2.5 t=3.0 s Position (m) Time (s) 5 10 1.02.0 velocity (m/s) 5 10 Time (s)1.02.0 -5 -10

4. t=0 t=0.5 t=1.0 st=1.5 st=2.0 st=2.5 t=3.0 s velocity (m/s) 5 10 Time (s)1.02.0 -5 -10

5. How about the acceleration? Is it zero anywhere? SLOPE in velocity-time diagram?

6. velocity (m/s) 5 10 Time (s)1.02.0 -5 -10 What are the properties of the slope?

7. velocity (m/s) 5 10 Time (s)1.02.0 -5 -10 Acceleration (m/s 2 ) 5 10 Time (s)1.02.0 -5 -10 Slope=(-10 m/s)/(1 s)=-10 m/s 2

8. Velocity (m/s) 5 10 Time (s)1.02.0 -5 -10 Acceleration (m/s 2 ) 5 10 Time (s)1.02.0 -5 -10 Position (m) Time (s) 5 10 1.02.0

9. Example problem Augustusburg Time until splash: 7 s How deep is the well?

10. Solution: Instantaneous velocity velocity (m/s) 60 40 Time (s)3.06.0 20 0 Average velocity: ½ maximum velocity=35 m/s Maximum velocity = 10m/s * 7s = 70 m/s

11. Average velocity=distance /time 35 m/s = depth / 7s Depth = 35 m/s * 7s Depth = 245 m