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Vectors & Scalars 2
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Vectors & Scalars 2

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  • 1. VECTORS & SCALARS
  • 2. Common Definitions
    • Scalar: A physical quantity that is a single number.
      • Ex: Distance, speed, energy
    • Vector: A physical quantity that possesses both magnitude and direction.
      • Ex: Displacement, velocity, acceleration.
  • 3. Scalar One: Speed
    • Speed is the measure of how fast an entity is going.
      • Rate at which distance is covered.
  • 4. Scalar One: Speed
    • Instantaneous Speed
      • The speed at any instant.
        • Taking the speed at a random time when someone is driving.
    • Average Speed
      • Average of all instantaneous speeds.
        • (Distance traveled)/(Time of travel) is the equation.
  • 5. Vector One: Velocity
    • Velocity is a vector – it has magnitude & direction.
    • Velocity can be measured by using a speedometer in combination with something that indicates the instantaneous direction of travel.
  • 6. Scalar Two: Distance
    • Distance is a scalar quantity.
    • It is the space between two points.
    • The equation for finding distance:
      • d = vit + 1/2at²
      • d – distance, a – acceleration
      • vi – intial velocity, t – time
  • 7. Vector Two: Displacement
    • Displacement has both direction and magnitude: is a vector quantity.
      • It is describing how much distance has been covered from beginning to end.
    • Displacement is measured by mechanically measuring distance.
  • 8. Vector Addition
    • The addition of two vectors.
    • Result of vector addition is known as the resultant.
    • Resultant is the diagonal of the rectangle described in some cases.
  • 9. Triangle Method
    • Basically done using the pythagorean theorem.
    • a²+b²=c², using each side of equation.
    • Ex: two vectors, each 3m.
    • 3²+3²=c²
    • 3√2 is the resultant.
      • Answers can be radical.
  • 10. Parallelogram Method
    • The vectors need to all point in the same direction.
    • Resultant: Diagonal.
      • Start at same point as the vectors.
  • 11. End.