Vectors: Displacement and Velocity. Vectors Examples of vectors: displacement velocity acceleration.

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Vectors: Vectors: Displacement and Displacement and Velocity Velocity

Transcript of Vectors: Displacement and Velocity. Vectors Examples of vectors: displacement velocity acceleration.

Page 1: Vectors: Displacement and Velocity. Vectors Examples of vectors: displacement velocity acceleration.

Vectors: Vectors: Displacement and Displacement and

VelocityVelocity

Page 2: Vectors: Displacement and Velocity. Vectors Examples of vectors: displacement velocity acceleration.

VectorsVectors

Examples of vectors:Examples of vectors: displacementdisplacement velocityvelocity accelerationacceleration

Page 3: Vectors: Displacement and Velocity. Vectors Examples of vectors: displacement velocity acceleration.

DisplacementDisplacement

ExampleExample: Ms. Rosebery walks 2 m : Ms. Rosebery walks 2 m [East] and then 1 m [West]. What [East] and then 1 m [West]. What was her distance travelled?was her distance travelled?

What was her displacement?What was her displacement?

Page 4: Vectors: Displacement and Velocity. Vectors Examples of vectors: displacement velocity acceleration.

DisplacementDisplacement

ExampleExample: Ms. Rosebery walks 2 m : Ms. Rosebery walks 2 m [East] and then 1 m [West]. What [East] and then 1 m [West]. What was her distance travelled?was her distance travelled?

What was her displacement?What was her displacement?

Distance travelled: Distance travelled: dd = 2 m + 1 m = = 2 m + 1 m = 3 m3 m

Page 5: Vectors: Displacement and Velocity. Vectors Examples of vectors: displacement velocity acceleration.

DisplacementDisplacement

ExampleExample: Ms. Rosebery walks 2 m : Ms. Rosebery walks 2 m [East] and then 1 m [West]. What [East] and then 1 m [West]. What was her distance travelled?was her distance travelled?

What was her displacement?What was her displacement?

Distance travelled: Distance travelled: dd = 2 m + 1 m = = 2 m + 1 m = 3 m3 m

Displacement: Displacement:

2 m

1 m

Page 6: Vectors: Displacement and Velocity. Vectors Examples of vectors: displacement velocity acceleration.

DisplacementDisplacement

ExampleExample: Ms. Rosebery walks 2 m [East] : Ms. Rosebery walks 2 m [East] and then 1 m [West]. What was her and then 1 m [West]. What was her distance travelled?distance travelled?

What was her displacement?What was her displacement?

Distance travelled: Distance travelled: dd = 2 m + 1 m = 3 m = 2 m + 1 m = 3 m

Displacement: Displacement:

She is She is 1 m [East]1 m [East] of her original starting of her original starting position.position.

2 m

1 m1 m

Page 7: Vectors: Displacement and Velocity. Vectors Examples of vectors: displacement velocity acceleration.

DisplacementDisplacement

We can represent [East] as the We can represent [East] as the positive direction and [West] as the positive direction and [West] as the negative direction:negative direction:

2 m

1 m1 m

Page 8: Vectors: Displacement and Velocity. Vectors Examples of vectors: displacement velocity acceleration.

DisplacementDisplacement

We can represent [East] as the We can represent [East] as the positive direction and [West] as the positive direction and [West] as the negative direction:negative direction:

= 2 m [East] + 1 m [West]= 2 m [East] + 1 m [West]

= + 2 m – 1 m= + 2 m – 1 m

2 m

1 m1 m

d

Page 9: Vectors: Displacement and Velocity. Vectors Examples of vectors: displacement velocity acceleration.

DisplacementDisplacement

We can represent [East] as the We can represent [East] as the positive direction and [West] as the positive direction and [West] as the negative direction:negative direction:

= 2 m [East] + 1 m [West]= 2 m [East] + 1 m [West]

= + 2 m – 1 m= + 2 m – 1 m

= + 1 m= + 1 m

2 m

1 m1 m

d

Page 10: Vectors: Displacement and Velocity. Vectors Examples of vectors: displacement velocity acceleration.

DisplacementDisplacement

We can represent [East] as the We can represent [East] as the positive direction and [West] as the positive direction and [West] as the negative direction:negative direction:

= 2 m [East] + 1 m [West]= 2 m [East] + 1 m [West]

= + 2 m – 1 m= + 2 m – 1 m

= + 1 m= + 1 m

= 1 m [East]= 1 m [East]

2 m

1 m1 m

d

Page 11: Vectors: Displacement and Velocity. Vectors Examples of vectors: displacement velocity acceleration.

DirectionsDirections

It is conventional to represent the It is conventional to represent the following directions as positive:following directions as positive:

forwardforward rightright upup NorthNorth EastEast

Page 12: Vectors: Displacement and Velocity. Vectors Examples of vectors: displacement velocity acceleration.

VelocityVelocity

Velocity is similarly Velocity is similarly notnot simply speed + simply speed + a direction.a direction.

time

ntdisplacemevelocityaverage

Page 13: Vectors: Displacement and Velocity. Vectors Examples of vectors: displacement velocity acceleration.

VelocityVelocity

ExampleExample: Ms. Rosebery walks 2 m : Ms. Rosebery walks 2 m [East] and then 1 m [West] in 3 s. [East] and then 1 m [West] in 3 s. What was her average speed?What was her average speed?

What was her average velocity?What was her average velocity?

Page 14: Vectors: Displacement and Velocity. Vectors Examples of vectors: displacement velocity acceleration.

VelocityVelocity

ExampleExample: Ms. Rosebery walks 2 m : Ms. Rosebery walks 2 m [East] and then 1 m [West] in 3 s. [East] and then 1 m [West] in 3 s. What was her average speed?What was her average speed?

What was her average velocity?What was her average velocity?

Page 15: Vectors: Displacement and Velocity. Vectors Examples of vectors: displacement velocity acceleration.

VelocityVelocity

ExampleExample: Ms. Rosebery walks 2 m : Ms. Rosebery walks 2 m [East] and then 1 m [West] in 3 s. [East] and then 1 m [West] in 3 s. What was her average speed?What was her average speed?

What was her average velocity?What was her average velocity?

Page 16: Vectors: Displacement and Velocity. Vectors Examples of vectors: displacement velocity acceleration.

Instantaneous VelocityInstantaneous Velocity

Average velocity is rarely calculated Average velocity is rarely calculated for an object changing direction. It for an object changing direction. It makes more sense to talk about themakes more sense to talk about the instantaneous velocityinstantaneous velocity, which , which isis the speed + the direction at that the speed + the direction at that particular instant.particular instant.

Page 17: Vectors: Displacement and Velocity. Vectors Examples of vectors: displacement velocity acceleration.

10m due North + 7m due 10m due North + 7m due SouthSouth

15km due East + 20km due 15km due East + 20km due West + 55km due EastWest + 55km due East

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