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Vectors And Scalars And Kinematics
Vectors And Scalars And Kinematics
Vectors And Scalars And Kinematics
Vectors And Scalars And Kinematics
Vectors And Scalars And Kinematics
Vectors And Scalars And Kinematics
Vectors And Scalars And Kinematics
Vectors And Scalars And Kinematics
Vectors And Scalars And Kinematics
Vectors And Scalars And Kinematics
Vectors And Scalars And Kinematics
Vectors And Scalars And Kinematics
Vectors And Scalars And Kinematics
Vectors And Scalars And Kinematics
Vectors And Scalars And Kinematics
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Vectors And Scalars And Kinematics

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vectors and scalars

vectors and scalars

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  • 1. Vectors and Scalars Topic 1.3 1.3.1 – Distinguish between vector and scalar quantities, and give examples of each. 1.3.2 – Determine the sum or difference of two vectors by a graphical method. 1.3.3 – Resolve vectors into perpendicular components along chosen axis.
  • 2. Vectors and Scalars
    • All quantities are either vectors or scalars
    • What are vectors?
    • Vectors are quantifiers that have magnitude and
    • a direction
    • What are scalars?
    • Scalars are quantifiers that have only magnitude.
  • 3. Vectors and scalars
    • Examples of vectors:
      • Displacement
      • Velocity
      • Force
      • Momentum
    • Examples of scalars:
      • Length
      • Time
      • Speed
  • 4. Addition of Vectors
    • We represent vectors by drawing arrows.
    • To add vectors, you have to arrange the arrows so that the point of one touches the tail of the other. The resultant vector is a line joining the free tail to the free point.
  • 5. Vectors and Scalars
    • Remember:
  • 6. Vectors in one dimention
    • This means that motion will be restricted to one dimention.
      • Example: A car can only go in two directions: forwards and backwards
    • To distinguish between directions, we give them different signs (forward + and backwards -)
  • 7. Subtracting vectors
    • A negative vector is the opposite direction of a positive vector, therefore:
      • A – B = A + (-B)
  • 8. Vector Components
  • 9. Kinematics Topic 2.1 2.1.1– Define displacement, velocity, speed and acceleration. 2.1.2 – Explain the difference between instantaneous and average values of speed, velocity and acceleration. 2.1.3 – Outline the conditions under which the equations for uniformly accelerated motion may be applied.
  • 10. Distance x Displacement
  • 11. Distance x Displacement
    • Displacement is the distance moved in a particular direction
    • Distance is how far you have travelled from one place to the other.
      • Example: In the end of a race, Felipe Massa’s displacement = 0
  • 12. Velocity x Speed
    • Both measure how fast a body is moving. The unit used for both is m.s -1
    • Velocity is a vector quantity and speed is a scalar quantity.
  • 13. Average velocity x Instantaneous velocity
    • Average velocity is the difference between the distance between the beginning and the end of a journey divided by the time taken, for example.
    • Instantaneous velocity is the exact velocity at a given second.
  • 14. Always relative
    • When we measure velocity, we need to have a reference.
      • Example: What is your velocity now?
        • Related to the ground = 0 m/s
        • Related to the sun = 29.78 km/s
        • Related to the centre of the galaxy = 250 km/s
  • 15. Acceleration
    • Acceleration is the rate of change in velocity.
    • Acceleration is measured in m.s -2
    • Acceleration is a vector quantity.
    • Change in Velocity = final velocity – initial velocity (v – u);
    • Where v = final velocity and u = initial velocity

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