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Vectors: Displacement and Velocity
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Vectors Examples of vectors: displacement velocity acceleration
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Displacement Example: Ms. Rosebery walks 2 m [East] and then 1 m [West]. What was her distance travelled? What was her displacement?
![Displacement Example: Ms. Rosebery walks 2 m [East] and then 1 m [West].](http://images.slideplayer.com/27/9122437/slides/slide_3.jpg "What was her distance travelled. What was her displacement .")
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Displacement Example: Ms. Rosebery walks 2 m [East] and then 1 m [West]. What was her distance travelled? What was her displacement? Distance travelled: d = 2 m + 1 m = 3 m
![Displacement Example: Ms. Rosebery walks 2 m [East] and then 1 m [West].](http://images.slideplayer.com/27/9122437/slides/slide_4.jpg "What was her distance travelled. What was her displacement. Distance travelled: d = 2 m + 1 m = 3 m.")
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Displacement Example: Ms. Rosebery walks 2 m [East] and then 1 m [West]. What was her distance travelled? What was her displacement? Distance travelled: d = 2 m + 1 m = 3 m Displacement: 2 m 1 m
![Displacement Example: Ms. Rosebery walks 2 m [East] and then 1 m [West].](http://images.slideplayer.com/27/9122437/slides/slide_5.jpg "What was her distance travelled. What was her displacement. Distance travelled: d = 2 m + 1 m = 3 m Displacement: 2 m 1 m.")
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Displacement Example: Ms. Rosebery walks 2 m [East] and then 1 m [West]. What was her distance travelled? What was her displacement? Distance travelled: d = 2 m + 1 m = 3 m Displacement: She is 1 m [East] of her original starting position. 2 m 1 m
![Displacement Example: Ms. Rosebery walks 2 m [East] and then 1 m [West].](http://images.slideplayer.com/27/9122437/slides/slide_6.jpg "What was her distance travelled. What was her displacement. Distance travelled: d = 2 m + 1 m = 3 m Displacement: She is 1 m [East] of her original starting position. 2 m 1 m.")
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Displacement We can represent [East] as the positive direction and [West] as the negative direction: 2 m 1 m
![Displacement We can represent [East] as the positive direction and [West] as the negative direction: 2 m 1 m](http://images.slideplayer.com/27/9122437/slides/slide_7.jpg "Displacement We can represent [East] as the positive direction and [West] as the negative direction: 2 m 1 m")
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Displacement We can represent [East] as the positive direction and [West] as the negative direction: = 2 m [East] + 1 m [West] = + 2 m – 1 m 2 m 1 m
![Displacement We can represent [East] as the positive direction and [West] as the negative direction: = 2 m [East] + 1 m [West] = + 2 m – 1 m 2 m 1 m](http://images.slideplayer.com/27/9122437/slides/slide_8.jpg "Displacement We can represent [East] as the positive direction and [West] as the negative direction: = 2 m [East] + 1 m [West] = + 2 m – 1 m 2 m 1 m")
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Displacement We can represent [East] as the positive direction and [West] as the negative direction: = 2 m [East] + 1 m [West] = + 2 m – 1 m = + 1 m 2 m 1 m
![Displacement We can represent [East] as the positive direction and [West] as the negative direction: = 2 m [East] + 1 m [West] = + 2 m – 1 m = + 1 m 2 m 1 m](http://images.slideplayer.com/27/9122437/slides/slide_9.jpg "Displacement We can represent [East] as the positive direction and [West] as the negative direction: = 2 m [East] + 1 m [West] = + 2 m – 1 m = + 1 m 2 m 1 m")
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Displacement We can represent [East] as the positive direction and [West] as the negative direction: = 2 m [East] + 1 m [West] = + 2 m – 1 m = + 1 m = 1 m [East] 2 m 1 m
![Displacement We can represent [East] as the positive direction and [West] as the negative direction: = 2 m [East] + 1 m [West] = + 2 m – 1 m = + 1 m = 1 m [East] 2 m 1 m](http://images.slideplayer.com/27/9122437/slides/slide_10.jpg "Displacement We can represent [East] as the positive direction and [West] as the negative direction: = 2 m [East] + 1 m [West] = + 2 m – 1 m = + 1 m = 1 m [East] 2 m 1 m")
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Directions It is conventional to represent the following directions as positive: forward forward right right up up North North East East
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Velocity Velocity is similarly not simply speed + a direction.
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Velocity Example: Ms. Rosebery walks 2 m [East] and then 1 m [West] in 3 s. What was her average speed? What was her average velocity?
![Velocity Example: Ms. Rosebery walks 2 m [East] and then 1 m [West] in 3 s.](http://images.slideplayer.com/27/9122437/slides/slide_13.jpg "What was her average speed. What was her average velocity .")
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Velocity Example: Ms. Rosebery walks 2 m [East] and then 1 m [West] in 3 s. What was her average speed? What was her average velocity?
![Velocity Example: Ms. Rosebery walks 2 m [East] and then 1 m [West] in 3 s.](http://images.slideplayer.com/27/9122437/slides/slide_14.jpg "What was her average speed. What was her average velocity .")
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Velocity Example: Ms. Rosebery walks 2 m [East] and then 1 m [West] in 3 s. What was her average speed? What was her average velocity?
![Velocity Example: Ms. Rosebery walks 2 m [East] and then 1 m [West] in 3 s.](http://images.slideplayer.com/27/9122437/slides/slide_15.jpg "What was her average speed. What was her average velocity .")
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Instantaneous Velocity Average velocity is rarely calculated for an object changing direction. It makes more sense to talk about the instantaneous velocity, which is the speed + the direction at that particular instant.
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10m due North + 7m due South 10m due North + 7m due South 15km due East + 20km due West + 55km due East
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