PHYSICS

1. PHYSICS Vectors and Scalars

2. Useful Vector Math SOHCAHTOA • Trigonometry • sine: sin q = opp/hyp • cosine: cos q = adj/hyp • tangent: tan q = opp/adj

3. Useful Vector Math Pythagorean Theorum

4. Vectors vs. Scalars • scalars: only magnitude (size) ex. distance, time, speed, mass, temperature • vectors: magnitude and a direction • Examples of vectors • displacement, s or x : distance and direction • velocity, v : speed and direction • acceleration, a: change in speed and direction

5. Vector Basics • Vectors • displacement vectors d = d (displacement), q(direction) • length proportional to amount • direction measured by angle

6. Co-linear Vectors • Combining Vectors • Collinear vectors: • v1 v2 v1 v2 • resultant: vnet= v1+ v2 • ex: A plane flies 40 m/s E into a 10 m/s W headwind. What is the net velocity? • ex: A plane flies 40 m/s W with a 10 m/s W tailwind. What is the net velocity?

7. Non Co-linear Vectors • Perpendicular vectors: resultant’s magnitude: resultant’s direction:

8. Graphical Method +y • Tail to tip method • Place first vector on graph with tail starting at the origin • Place the second vector with the tail at the tip of the first vector • Repeat step two for multiple vectors • Draw a line from the tail of the first vector to the tip of the final vector. This final vector is called the resultant. • The order that you add vectors doesn’t matter (commutative property) +x -x -y

9. Component Method