# Vectors

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### Workshop on Vectors

*Wissam Chaya*

#### Overview of Vectors

1 - For a start, An overview about vectors:

http://www.physics.uoguelph.ca/tutorials/vectors/vectors.html

What is the difference between and ?

How do we perform vector subtraction of ?

#### Applications of Vectors

For each of the following application, draw a diagram and show vectors acting on the object. Define these vectors and answer the questions related when applicable.

• Plane and the Wind

• The River Boat

• Parabolic Motion of projectile

• Throw at the Monkey in a Gravity Free environment

• Throw at the Monkey at a slow speed with Gravity on

• Horizontally Launched Projectiles

- What are the initial v
_{x}and v_{y}speeds?

- What are the initial v

- What are the final v
_{x}and v_{y}speed (when it hits the ground)?

- What are the final v

• Non-Horizontally Lauched Projectile

- What are the initial v
_{x}and v_{y}speeds?

- What are the initial v

- What are the v
_{x}and v_{y}at the peak?

- What are the v

- What are the final v
_{x}and v_{y}speeds (when it hits the ground)?

- What are the final v

• Maximum Range

- At what angle is the maximum range can be obtained?

- At what angle is the maximum range can be obtained?

• The Plane and the package

- Why does the package fall just underneath the moving plane?

- Why does the package fall just underneath the moving plane?

• The Truck and the Ball

- Why does the fall back on the moving truck?

- Why does the fall back on the moving truck?

- If you were sitting on the truck, how would you see the path of the ball: As a projectile or as a vertical up/down path?

- If you were sitting on the truck, how would you see the path of the ball: As a projectile or as a vertical up/down path?

• Throw paper !

- Can you throw the paper in the basket?

- Can you throw the paper in the basket?

- Play ! Consider the wind direction and speed as well as the velocity direction of your thrown paper.

Can you score? how many?

Finally draw a diagram of all vectors involved in this game!

- Play ! Consider the wind direction and speed as well as the velocity direction of your thrown paper.

#### Viewing 3D vectors

3D Vectors

#### Math & physics puzzles

Puzzles!!

### Relative Motion

*Helena Dedic*

Relative Motion