# – Graphical Method Vector Addition Example m

```Vector Addition – Graphical Method
Example
You walk 75 m West then 50. m South, what is your displacement?
Scale
What would a 75 m West displacement look like?
1.0 cm = 5.0 m
15 cm = 75 m
Pointing West (Left)
75 m
Example
You walk 75 m West then 50. m South, what is your displacement?
Scale
1.0 cm = 5.0 m
What would a 50. m South displacement look like?
10. cm = 50. m
Pointing South (Down)
75 m
50. m
Example
You walk 75 m West then 50. m South, what is your displacement?
Scale
How could we represent your displacement over the entire trip?
1.0 cm = 5.0 m
18.0 cm = 90.0 m
75 m
50. m
Example
You walk 75 m West then 50. m South, what is your displacement?
Scale
1.0 cm = 5.0 m
18.0 cm = 90.0 m
75 m
50. m
90.0 m
Example
You walk 75 m West then 50. m South, what is your displacement?
Scale
1.0 cm = 5.0 m
18.0 cm = 90.0 m
75 m
34&deg;
50. m
90.0 m

d  Displaceme nt

d  90.0 m at 34 S of W
Resultant – the one vector whose effect on a body is the same as the
net effect of two or more other vectors.
Example
What would your displacement be if you walked South and then West?

a
75 m
50. m

b

d
  90 - 34
  56

50. m

d  90.0 m at 56 W of S
75 m
    
d a b b a
To find a resultant using the graphical method
1. Draw one vector to scale.
 Draw the horizontal vector first when possible.
2. Draw the second vector to the same scale, placing the tail of
the second at the head of the first.
3. Draw the resultant vector from the tail of the first vector to the
75 m

50. m

d
```