1. Vectors and Two Dimensional motion
Chapter 3
Vectors and Two Dimensional motion

2. Vectors and their Properties
Vector Quantity: Has both magnitude and direction (e.g. velocity)
Scalar Quantity: Has magnitude (e.g. speed)

3. Vectors and their Properties
Adding Vectors
They must have the same units
Vectors can be added geometrically or algebraically

4. Vectors and their Properties
Geometric addition
Head to tail

5. Vectors and their Properties
Geometric addition
Head to tail

6. Vectors and their Properties
Geometric addition

7. The magnitude of a resultant vector can be calculated from its components by using the Pythagorean Theorem
The angle of a resultant vector can be calculated from its components by using the trigonometric function, inverse tangent

8. A vector can be resolved into components by using the base angle and the trigonometric functions (sine, cosine)

9. Motion in two dimensions
Projectiles
After some sort of initial input, to get them moving, they are only acted upon by gravity
What would be another way of describing them?

10. Motion in two dimensions
Projectiles

11. Motion in two dimensions
Projectiles

12. Motion in two dimensions
Projectiles
In order to perform calculations of projectiles, resolve the vector into x and y dimension components.
Acceleration only takes place in the vertical, y-dimension
Use the y-dimension to calculate the time to the high point.
Use that time to calculate other things, e.g. time of flight, max height (y) and displacement (x)

13. Motion in two dimensions
Projectiles
After some sort of initial input, to get them moving, they are only acted upon by gravity
What would be another way of describing them?