Velocity vs time graph Calculating the area under the graph.

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Presentation transcript:

Velocity vs time graph Calculating the area under the graph

velocity time -5 m/s 0 m/s 1 s 3 s2 s 4 s5 s +5m/s +10 m/s +15 m/s 0 s -10 m/s 6 s Graph 1 Determine the area under the graph for each segment

velocity time -5 m/s 0 m/s 1 s 3 s2 s 4 s5 s +5m/s +10 m/s +15 m/s 0 s -10 m/s 6 s Graph 1 Determine the area under the graph for each segment

velocity time -5 m/s 0 m/s 1 s 3 s2 s 4 s5 s +5m/s +10 m/s +15 m/s 0 s -10 m/s 6 s Graph 1 What is the total displacement from 0 to 6 s? Imagine the shapes from the curve to the 0m/s line

velocity time -5 m/s 0 m/s 1 s 3 s2 s 4 s5 s +5m/s +10 m/s +15 m/s 0 s -10 m/s 6 s Graph 1 From 0 to 2 s Displacement=Area = ½ (base)(height) displacement= ½( 2s)( + 10m/s) Displacement = ½( + 20m ) Displacement= +10m

velocity time -5 m/s 0 m/s 1 s 3 s2 s 4 s5 s +5m/s +10 m/s +15 m/s 0 s -10 m/s 6 s Graph 1 From 2 to 5 s Displacement=Area = (length)( width) displacement= ( 3s)( + 10m/s) Displacement = ( + 30m ) Displacement= +30m

velocity time -5 m/s 0 m/s 1 s 3 s2 s 4 s5 s +5m/s +10 m/s +15 m/s 0 s -10 m/s 6 s Graph 1 From 5 to 6s Displacement=Area = ½ (base)(height) displacement= ½( 1s)( + 10m/s) Displacement = ½( + 10m ) Displacement= + 5m

velocity time -5 m/s 0 m/s 1 s 3 s2 s 4 s5 s +5m/s +10 m/s +15 m/s 0 s -10 m/s 6 s Graph 1 What is the total displacment from 0 to 6 s? +10m + 5m+30m Total displacement= + 10m m+ + 5m= 45 m

velocity time -2 m/s 0 m/s 5 s 15 s10 s 20s25 s +2m/s +4 m/s +6 m/s 0 s -4 m/s 30 s Graph 2 Find the displacement from to 0 to 10 s, 10 to 20 s, 20s to 30 s

velocity time -2 m/s 0 m/s 5 s 15 s10 s 20 s25 s +2m/s +4 m/s +6 m/s 0 s -4 m/s 30 s Graph 2 Find the displacement from to 0 to 10 s, 10 to 20 s, 20s to 30 s Imagine the shapes from the curve to the 0m/s line

velocity time -2 m/s 0 m/s 5 s 15 s10 s 20 s25s +2m/s +4 m/s +6 m/s 0 s -4 m/s 30 s Graph 2 From 0 to 10 s Displacement=Area = (length)( width) displacement= ( 10s)( + 4m/s) Displacement = ( + 40m ) Displacement= +40m

velocity time -2 m/s 0 m/s 5 s 25 s10 s 20 s25s +2m/s +4 m/s +6 m/s 0 s -4 m/s 30 s Graph 2 From 10 to 20 s Displacement=Area = ½ (base)(height) displacement= ½( 10s)( + 4m/s) Displacement = ½( + 40m ) Displacement= +20m

velocity time -2 m/s 0 m/s 5 s 15 s10 s 20 s25 s +2m/s +4 m/s +6 m/s 0 s -4 m/s 30 s Graph 2 From 20 to 30 s Displacement=Area = ½ (base)(height) displacement= ½( 10s)( - 4m/s) Displacement = ½( - 40m ) Displacement= -20m

velocity time -2 m/s 0 m/s 5 s 15 s10 s 20 s25 s +2m/s +4 m/s +6 m/s 0 s -4 m/s 30 s Graph 2 +40m +20m -20m Total displacement= ( + 40m) + ( + 20m) + ( - 20m) + 40 m