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Distance vs. Displacement

Distance vs. Displacement. I. Distance. Distance: magnitude of length for the path traveled. (follow Billy). I I . Displacement. Displacement: Change in position, ∆ x ∆ : Greek l etter Delta : means “Change in…” x : position. I I . Displacement. Final Position.

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Distance vs. Displacement

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  1. Distance vs. Displacement

  2. I. Distance • Distance: magnitude of length for the path traveled. (follow Billy)

  3. II. Displacement • Displacement: Change in position, ∆ x • ∆ : Greek letter Delta : means “Change in…” • x : position

  4. II. Displacement Final Position Initial Position

  5. II. Displacement • ∆ x = xf – xi xf : x final xi : x initial • Displacement is a vector.

  6. III. Vector and Scalar • Vector: has direction and magnitude ex: 50 meters West • Scalar: has magnitude, but no direction ex: 65 miles per hour

  7. Average Speed vs. Average Velocity

  8. Average Speed • Average Speed = Total distance Total time • Average Speed: the total distance traveled divided by the total time it takes to travel that distance

  9. II. Average Velocity • v = ∆x / ∆t • v : bar v, average velocity • Average Velocity: the displacement divided by the time taken

  10. Talk to your neighbor… Which value is greater for Billy… the average speed or the average velocity?

  11. average speed = TOTAL DISTANCE / total time average velocity = displacement / total time

  12. III. Average Speed vs. Average Velocity • average speed ≥ average velocity • When is the average speed = average velocity? Discuss!

  13. III. Average Speed vs. Average Velocity • When is the average speed = average velocity? … when distance = displacement … a straight line!

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