Kinematics: Understanding Vectors

Kinematics 1

Understanding Vectors

  • Definition of Vectors: Vectors are quantities that have both magnitude and direction.

  • Representation: Vectors are visually represented with arrows:

    • Direction: Indicated by the direction of the arrow.

    • Magnitude: The length of the arrow represents the numerical value (magnitude) of the vector.

Example of Vectors

  • Example given:

    • Velocity vector 1: 12 m/s East

    • Velocity vector 2: 24 m/s East

    • Comparison: The red arrow representing 24 m/s East is twice as long as the black arrow representing 12 m/s East.

    • This demonstrates that the length of the arrows reflects their numerical values, thus indicating their magnitudes and the fact that they are in the same direction (Easterly).

Problem to Solve

  1. Statement: Determine the value of the velocity vector based on the scale and directions indicated above.

  2. Instructions: Show your working to arrive at the solution.

Notes for Calculation

  • When calculating a velocity vector, consider the direction and scale provided in similar examples. Ensure to maintain the proportional relationship between vector lengths to their magnitudes.