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.

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Presentation transcript:

t=0 Position (m) Time (s) t=0.5 t=1.0 st=1.5 st=2.0 st=2.5 t=3.0 s

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)

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) velocity (m/s) 5 10 Time (s)

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)

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

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

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

Velocity (m/s) 5 10 Time (s) Acceleration (m/s 2 ) 5 10 Time (s) Position (m) Time (s)

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

Solution: Instantaneous velocity velocity (m/s) Time (s) Average velocity: ½ maximum velocity=35 m/s Maximum velocity = 10m/s * 7s = 70 m/s

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