lec03-203-08-2D-mot-mod2

lec03-203-08-2D-mot-mod2 - just like ball projected up with...

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.1 ball dropped ball projected v o • acceleration g in y direction constant velocity in x-dir • increasing displacement in = times equal displacements in equal times y = -gt 2 /2 v y = -gt v x = v ox x = v ox t y-dir projected ball motion = dropped ball motion y-dir experiment 3-1
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3-2 2 0 0x x t x = x + v t +a 2 x 0x x v = v + a t y 0y y v = v + a t 2 0 0y y t y = y + v t +a 2 2 2 x ox x o v - v = 2a (x- x ) y 2 2 y o y o v - v = 2a (y - y ) 0x 0x 0 x (v + v ) (x - x ) = t = v t 2 0y y 0 y (v + v ) (y - y ) = t = v t 2 Most General Form
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3-2a y 0y v = v - g t 2 0 0y t y = y + v t - g 2 0y y 0 y (v + v ) (y - y ) = t = v t 2 y 2 2 y o o v - v = 2(-g) (y - y ) x 0x v = v 0 0x x = x + v t
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3-3
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vector (position and displacement) - magnitude (length) - direction final position time x t f (x f , y f ) t i initial position time (x i , y i ) y two dimensions i r f r i f r r r Δ = 3-3a
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hit ox 2h x = v g ox hit g v = x 2h x hit 3-4 Use x hit and h to find v o
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Demo in class x hit = 5m 2 ox hit g 9.8 (m/s ) v = x 4.5 (m) 2h 2 1 (m) = h= 1m ox m m m v = 4.5 5 ( )=5 2.2( )= 11 s s s = * * Justin DeCotiis + 25 % of class correction to Croft error
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3-5 recall 3-5
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v o v ox v oy y = v oy t -gt 2 /2 v y = v oy -gt v x = v ox x = v ox t ball projected at angle ball projected up
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Unformatted text preview: just like ball projected up with v 0y constant velocity v 0x 3-6 3-7 Projectile motion: Range Recall Demo in class x hit = 5m h= 1m ox hit g m v = x 11 2h s = ox oy 2 v v R= g max R = 45 2 2 o o max 2 2 v v R = g g( 2) = Recall 1 sin(45 )= cos(45 )= 2 oy o v = v cos( ) = 45 1 1 2 ox o v = v sin( ) 2 2 max 2 11 (m/s) R (class demo) [ ] 12.3m 9.8 m/s = = 2 nd class Demo: range same gun =same v good agreement 3-7a [much of trajectory of warhead is that of a projectile] Recall range problem clearly = 45 o used to get max range max range = 45 o Time to get to max height (h) Scud missiles Iraq to Israel 1991 3-8 R m =? h=? v =? time-involved 3-9 at top Scud missiles case 1991 3-10 shoot the monkey demo Some Observations 3-11 3-12-extra...
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lec03-203-08-2D-mot-mod2 - just like ball projected up with...

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