Warm Up  Isolate “q 2 ” from

Scalars  Scalars are measurements Normal numbers  Magnitude is a synonym  Examples: 55 miles per hour 100 kg

Vectors  They are scalars with a direction.  Magnitude is the scalar part of the vector  Examples 55 Miles per Hour, north 15 m/s, right

Vectors and Scalars  Certain physics terms are vectors. Distance (scalar) vs. Displacement (vector) Speed (scalar) vs. Velocity (vector) Acceleration (vector) Force (vector)

Vocabulary T Chart  Distance (scalar) – how far you moved  Displacement (vector) – how far you moved in a specific direction

Demonstration  Displacement versus Distance  Stand up  Walk once around the room  Sit back down at your desk

Distance  What are different ways we could have measured our distance?

Displacement  Your displacement was 0.  You had a displacement until you sat back down.  Since you ended where you started, your final displacement is 0.

Vocabulary T Chart  Speed (scalar) – how fast are you going  Velocity (vector) – how fast you are going in a specific direction

Vocabulary T Chart  Acceleration (vector) – the rate of change of velocity How quickly your changing your speed (increasing or decreasing).

The Parts of a Vector  Picture form Tail Head Magnitude

Coordinate system

Vector Components  Vectors can be “broken” into an x- component and y-component Makes a right triangle Original vector is the hypotenuse  Go in the same direction as the original vector

Vector Addition  Similar to vector components in reverse  There are 2 methods Head to Tail Tail to Tail (aka parallelogram method)

Vector Addition  Resultant – the final vector after adding all of the other vectors

Parallelogram Method (Tail to Tail)  Only good to add 2 vectors

Head to Tail  Like driving directions

Warm Up  An airplane is flying due East at 100. km/s. There is a steady crosswind blowing from the South at 30.0 km/s. What is the plane’s new velocity?  A) 95.4 km/s, Southeast  B) 95.4 km/s, Northeast  C) 104 km/s, Southeast  D) 104 km/s, Northeast

Use vector addition to solve  Johnny is running south with a momentum of 150 kgm/s towards the end zone. Corey hits Johnny from the west with a momentum of 195 kgm/s. What would be their approximate new momentum and direction?

Warm Up  Draw a triple Venn Diagram comparing Vector, Scalar, and a car.

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Warm Up  Add these 2 vectors and find the resultant.

Use vector addition to solve  Spot is lying down in the shade. Spot gets up and wanders 3 m east, 5 m south, 5 m west, 5 m north, and 2 m east. What is Spot’s final displacement?