140 likes | 489 Views
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.
E N D
Distance vs. Displacement
I. Distance • Distance: magnitude of length for the path traveled. (follow Billy)
II. Displacement • Displacement: Change in position, ∆ x • ∆ : Greek letter Delta : means “Change in…” • x : position
II. Displacement Final Position Initial Position
II. Displacement • ∆ x = xf – xi xf : x final xi : x initial • Displacement is a vector.
III. Vector and Scalar • Vector: has direction and magnitude ex: 50 meters West • Scalar: has magnitude, but no direction ex: 65 miles per hour
Average Speed vs. Average Velocity
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
II. Average Velocity • v = ∆x / ∆t • v : bar v, average velocity • Average Velocity: the displacement divided by the time taken
Talk to your neighbor… Which value is greater for Billy… the average speed or the average velocity?
average speed = TOTAL DISTANCE / total time average velocity = displacement / total time
III. Average Speed vs. Average Velocity • average speed ≥ average velocity • When is the average speed = average velocity? Discuss!
III. Average Speed vs. Average Velocity • When is the average speed = average velocity? … when distance = displacement … a straight line!