Vectors 9/13/13. Bellwork ► Bellwork: Do you use the “Word Doc” and “PowerPoints” from the labs? ► Bellwork class poll.

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Presentation transcript:

Vectors 9/13/13

Bellwork ► Bellwork: Do you use the “Word Doc” and “PowerPoints” from the labs? ► Bellwork class poll

Representing Vectors ► Use an arrow for vectors ► Parts of the vector arrow TailHead Name: the magnitude and unit of what it represents

Resultant ► Resultant: A vector that repesents the sum of two or more vectors

Scalar Quantity Vector QuantityUnit of Measurement DistanceDisplacementmeter (m) SpeedVelocitymeter per second (m/s) (none)Accelerationmeter per second per second (m/s 2 ) Time(none)second (s) Mass(none)kilogram (kg) (none)ForceNewton (N)

Vector Scaling ► Scaling the vector so it can be represented in a convent method ► Use a “Scaling Factor” ► (e.g.) 5 cm = 600 km (U.S. map) 5 cm = 150 km (AZ map) ► Aside 1:12,000,000 1:3,000,000

1 cm = 35 km 1:3,500,000

1 cm = 10 km 1:100,000

Directions ► North (N) (top of page) ► Northeast (NE) ► East (E) ► Southeast (SE) ► South (S) ► Southwest (SW) ► West (W) ► Northwest (NW)

Other Directions ► Up ► Down ► Left ► Right ► Degrees

Vector Addition ► Head-to-Tail method ► Starting from where the head of the first vector ends, draw the second vector to scale in the indicated direction ► Repeat for all vectors that need to be added ► From the starting point to the end point, with direction, is called the resultant

Finding Distance and Resultant Displacement ► Distance – add all of the magnitudes of each vector ► Resultant Displacement – the distance from the starting point to the end point and the direction

Vector Assignments

Displacement Class Work ► What is the scale? ► Measure the soccer field ► Soccer field is about 100 m long ► Scaling Factor: 4 cm = 100 m ► OR 1 cm = 25 m ► OR 1:2,500

Displacement Assignment ► 1) Starting point is the “DROP AREA” ► 2) Label an “END POINT” that is not near the drop area ► 3) DRAW and LABEL at least 15 vector arrows around the school’s campus to the end point ► 4) MEASURE each of the vector arrows using a ruler (to the 0.1 cm) ► 5) CONVERT (in dominoes) your displacement vectors (cm) into meters, include units and direction. ► 6) FIND the total distance in meters by adding vectors together ► 7) DRAW the resultant vector: a) measure the distance from the start point to the end point. b) convert the cm to m