Velocityvstimegraph
Calculating the area under thegraph
velocity
time
-5 m/s
0 m/s
1 s
3 s
2 s
4 s
5 s
+5m/s
+10 m/s
+15 m/s
0 s
-10 m/s
6 s
Graph 1
Determine the area under thegraph for each segment
velocity
time
-5 m/s
0 m/s
1 s
3 s
2 s
4 s
5 s
+5m/s
+10 m/s
+15 m/s
0 s
-10 m/s
6 s
Graph 1
Determine the area under thegraph for each segment
velocity
time
-5 m/s
0 m/s
1 s
3 s
2 s
4 s
5 s
+5m/s
+10 m/s
+15 m/s
0 s
-10 m/s
6 s
Graph 1
What is the total displacementfrom 0 to 6 s?
Imagine the shapes from thecurve to the 0m/s line
velocity
time
-5 m/s
0 m/s
1 s
3 s
2 s
4 s
5 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 s
2 s
4 s
5 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 s
2 s
4 s
5 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 s
2 s
4 s
5 s
+5m/s
+10 m/s
+15 m/s
0 s
-10 m/s
6 s
Graph 1
What is the total displacmentfrom 0 to 6 s?
+10m
+ 5m
+30m
Total displacement= +10m + +30m+ +5m=
45 m
velocity
time
-2 m/s
0 m/s
5 s
15 s
10 s
20s
25 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 s
10 s
20 s
25 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 thecurve to the 0m/s line
velocity
time
-2 m/s
0 m/s
5 s
15 s
10 s
20 s
25s
+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 s
10 s
20 s
25s
+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 s
10 s
20 s
25 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 s
10 s
20 s
25 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