Lecture2

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Unformatted text preview: Mo#on in one dimension (contd…) From Lecture 1: Δx x f − xi vx , avg = = Δt Δt Δx x f − xi vx = = Δt Δt Δx dx vx = lim = Δt → 0 Δt dt average velocity constant velocity instantaneous velocity Note: The first two rela#ons give: x f = xi + vx , avg Δt x f = xi + vx Δt The last one can be integrated if the func#on vx(t) is known: x f = xi + ∫ vx (t )dt Mo#on in one dimension (contd…) Posi#on vs #me graphs x Δx 60 m 3 s 80 m 4 s x x = 0 m t=0 s 20 m 1 s 40 m 2 s t Δt t x = 0 m t=0 s 30 m 1 s 50 m 2 s 60 m 65 m 3 s 4 s Δx dx slope = lim = Δt → 0 Δt dt dx We already know vx = dt Velocity = slope of posi#on ­#me graph x (m) 3 2 23 6 8 •  What do the different colored lines mean? •  Iden#fy instantaneous velocity with the slope. Note how secan...
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