Introduction to Physics: Displacement and Velocity

Distance and Displacement

  • Distance is a scalar quantity measuring the total path traveled. For example, the distance between two cities might be 100 miles100\text{ miles}. Distance is always positive.

  • Displacement is a vector quantity that accounts for both magnitude and direction. It is the difference between the final position and the initial position (finalinitialfinal - initial).

  • Directional conventions define movement towards the East or North as positive displacement, and movement towards the West or South as negative displacement.

  • Example: If John walks 8 meters East8\text{ meters East} (+8+8) and then 3 meters West3\text{ meters West} (3-3), his total distance is 11 meters11\text{ meters}, but his net displacement is +5 meters+5\text{ meters}.

Speed and Velocity

  • Speed is associated with distance; it is a scalar description (e.g., 200 miles200\text{ miles}).

  • Velocity is associated with displacement; it is a vector description (e.g., 300 miles North300\text{ miles North}).

  • The formula for average velocity is: vˉ=dt\bar{v} = \frac{d}{t}, where dd represents displacement and tt represents total time.

Questions & Discussion

  • Participant Question/Prompt: What are your big three emojis?

  • Response: The sparkles, the baby eyes, and the cat.

  • Participant Question/Prompt: What does the castle mean?

  • Response: The castle emoji is used as a substitute because "many people" is difficult to spell.