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# L03a - Physics 111 Lecture 3a"Any intelligent fool can make...

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1 / 10 Physics 111 Lecture 3a “Any intelligent fool can make things bigger, more complex, and more violent. It takes a lot of courage to move in the opposite direction.” –Albert Einstein

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2D Variables 2D Variables Questions Relative velocity Relativity 2 / 10 Motion on a flat surface (2D motion) is described by way of vectors Position will be denoted by vector r Displacement will be denoted by Δ vector r = vector r f - vector r i (see figure) Note that the position depends on where you choose the origin, while displacement does not The average speed is again defined as (scalar) speed avg = distance time (1) Average velocity is again the total displacement over the time interval vectorv avg = Δ vector r Δ t = vector r f - vector r i Δ t (2)
2D Variables 2D Variables Questions Relative velocity Relativity 3 / 10 Example: A woman drives 100 km south in 1 hour and 200 km west in an additional 3 hours. What are her average speed and average velocity for the four hours? Instantaneous velocity is again the velocity of an object at any instant of time (tangent to trajectory) vectorv = lim Δ t 0 Δ vector r Δ t (3)

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