## Will it speed up or slow down?Establish which direction represents + or - 6 5 4 3 2 1 0 1 2 3 4 5 6
Velocity: speed and direction (20 m/s, North) ## Anatomy of a Vector
Vectors should be drawn to scale:
10 m should be twice as long as 5 m Vectors get added “head to tail”(or “tail to head”)
Adding vectors is the same as connecting them head-to-tail. |
## Speed Links
## Worksheets |
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A vector contains a the vector represents) and a . The direction is shown as the angle ofdirectionthe vector. It is either shown as the angle of the arrow if drawn to scale, or as a number of degrees. Adding multiple vectors will give you a single resultant vector (red).
It does not matter in which order you add the vectors. Regardless of how these vectors are added together, the red resultant vector will always be the same. For example: - 10m N
- 5m W
- 3m S
Graphically Adding Vectors worksheet ## To calculate the resultant vector’s magnitude and direction:If you can take two vectors at right angles and make a diagonal vector, Can be:
What is the length of the resultant? Separate the right vector into its x- and y- components.
By adding the original 8m plus the horizontal component (x) of the angled vector, Then using the vertical component (y) of 6m, you can get the length of the You can calculate the angle or the resultant vector by using the arc tangent of 6/18.4:
## River Problems
a) Velocity is speed AND direction. Velocity also includes the angle: The velocity is: 8.8m/s @ 25.4˚ b) tan(25.4˚) = x/40m c) v = d/t therefore t = d/v
a) TOA
River Vectors worksheet 1 |
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