Vectors

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 ${\vec {A}}$ and $-{\vec {A}}$?
How do we perform vector subtraction of ${\vec {A}}-{\vec {B}}$?

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 final v_x and v_y speed (when it hits the ground)?

•	Non-Horizontally Lauched Projectile 

What are the initial v_x and v_y speeds?

What are the v_x and v_y at the peak?

What are the final v_x and v_y speeds (when it hits the ground)?

•	Maximum Range 

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?

•	The Truck and the Ball

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?

•	Throw paper !

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!

Viewing 3D vectors

3D Vectors

Math & physics puzzles

Puzzles!!

Relative Motion

Helena Dedic

Relative Motion

More on Vectors

• Theory

• Exercises on Vectors

More Links

http://phet.colorado.edu/en/simulation/vector-addition