1. Chapter 3

2. Two-Dimensional Motion and VectorsPg
Summary Pg. 112

3. Scalar – a quantity that has a magnitude (number), but no direction
ex. Volume, mass
3 kg
Vector - a quantity that has a magnitude (number) and direction
ex. velocity, displacement, acceleration
3 m/s south

4. Vectors are represented by symbols
vectors in boldface
scalars in italics

5. Vectors can be added graphically
Resultant – answer
found by adding
vectors

6. Vectors can be added graphically
Vectors can be moved parallel to themselves in a diagram
Vectors can be added in any order
To subtract a vector, add its opposite

8. Two dimensional Motion
Vector operations uses the “x” and “y” axis.
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9. Determining resultant magnitude
If the movement is a straight line,
Use the Pythagorean theorem to find the magnitude of the resultant

10. Determining resultant magnitude
Pythagorean Theorem for right triangles
d2 = x2 + y2
(Length of hypotenuse)2 = (length of one leg)2 + (length of the other leg)2

11. Determining resultant magnitude

12. Determining resultant direction
To completely describe the resultant displacement you also need to find the direction
When the displacement forms a right triangle, use the tangent function to find the angle (θ) of the displacement

13. Determining resultant direction
The angle (θ) of the displacement is the direction of the displacement

14. Determining resultant direction
To find just the angle, use the inverse of the tangent function

15. An archaeologist climbs the Great Pyramid in Giza, Egypt
An archaeologist climbs the Great Pyramid in Giza, Egypt. If the pyramid’s height is 136 m and its width is x 102m, what is the magnitude and the direction of the archaeologist’s displacement while climbing from the bottom of the pyramid to the top?

16. Remember when you solve for the displacement you are looking for the magnitude (d) and the direction (Θ)