Physics 201 Lecture 2

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1 Physcs 1 Lecure Lecure Chper.1-. Dene Poson, Dsplcemen & Dsnce Dsngush Tme nd Tme Inerl Dene Velocy (Aerge nd Insnneous), Speed Dene Acceleron Undersnd lgebrclly, hrough ecors, nd grphclly he relonshps beween poson, elocy nd cceleron Commen on noon Dsplcemen, poson, elocy & cceleron re he mn qunes h we wll dscuss ody. Inorml Redng Quz Whch o hese qunes he he sme uns A. Velocy & poson B. Velocy & cceleron C. Acceleron & dsplcemen D. Poson & dsplcemen E. Poson & cceleron Physcs 1: Lecure, Pg 1 Physcs 1: Lecure, Pg Rnge o Lenghs Dsnce Lengh (m) Rdus o Vsble Unerse 1 1 To Andromed Gly 1 To neres sr 1 1 Erh o Sun Rdus o Erh. 1 Wlls Tower.5 1 Foobll Feld 1 1 Tll person 1 Thckness o pper Welengh o blue lgh 1-7 Dmeer o hydrogen om Dmeer o proon Physcs 1: Lecure, Pg 3 Rnge o Tmes Inerl Tme (s) Age o Unerse Age o Grnd Cnyon Ag ge o college suden ne yer ne hour Lgh rel rom Erh o Moon ne cycle o gur A srng 1-3 ne cycle o FM rdo we 1-8 ne cycle o sble lgh Tme or lgh o cross proon World s mos ccure mepece: Cesum ounn Aomc Clock Lose or gn one second n some 138 mllon yers Physcs 1: Lecure, Pg ne-dmenson Moon (Knemcs) Poson, Dsplcemen, Dsnce l Poson: Relecs where you re. KEY PINT 1: Mgnude, Drecon, Uns KEY PINT : Requres reerence pon (rgn) rgns re rbrry ne-dmenson Moon (Knemcs) Poson, Dsplcemen, Dsnce l Poson: Relecs where you re. KEY PINT 1: Mgnude, Drecon, Uns KEY PINT : Requres reerence pon (rgn) rgns re rbrry Physcs 1: Lecure, Pg 5 Emple: Where s Boson? Choose orgn New York Boson s 1 mles norhes o New York R Boson s 15 mles es nd 15 mles norh o New York Physcs 1: Lecure, Pg Boson New York (rgn) Pge 1

2 Physcs 1 Lecure ne-dmenson Moon (Knemcs) Poson, Dsplcemen, Dsnce l Geng rom New York o Boson requres PATH Ph denes wh plces we pss hough l Dsplcemen: Chnge n poson Requres me nerl Any pon on he ph mus be Boson ssoced wh specc me ( 1,, 3,.) Ph 1 l Ph 1 nd Ph he he sme chnge n poson so hey he sme dsplcemen. l Howeer he dsnce relled s New York deren. Ph Physcs 1: Lecure, Pg 7 Moon n ne-dmenson (Knemcs) Poson l Poson long lne; reerences nd : 1 meers A me seconds P s 1 meers o he rgh o he lmp rgn lmp Pose drecon o he rgh o he lmp Poson ecor (, ) or (1 m,. s) Prcle represenon meers P Physcs 1: Lecure, Pg 8 Dsplcemen l ne second ler P s 15 meers o he rgh o he lmp 1 meers 15 meers Dsplcemen l Pung ll ogeher - 5 meers o he rgh! - 1 second Relng o yelds erge elocy l A 1. s he poson ecor s (, ) or (15 m, 1. s) l Dsplcemen s jus chnge n poson l There s lso chnge n me P Physcs 1: Lecure, Pg 9 1 meers 15 meers P Physcs 1: Lecure, Pg 1 Aerge Velocy Chnges n poson s Chnges n me Aerge elocy dsplcemen per me ncremen, ncludes BTH mgnude nd drecon,g ( erge elocy ) (dsplceme n) (me ncremen ) (5 m o he rgh ),g (1sec) P s erge elocy ws 5 m / s o he rgh Physcs 1: Lecure, Pg 11 Aerge Speed l Aerge speed, g, relecs mgnude l How s whou he drecon. l Reerences he ol dsnce relled g ( ergespeed) dsnceken long ph d (ol me) P s erge speed ws 5 m / s NTE: Serwy s noon res rom oher es (There relly s no sndrd) Physcs 1: Lecure, Pg 1 Pge

3 Physcs 1 Lecure P on our (grphcl represenon) l P s wlkng rom nd o he lmp ( he orgn). ( 1, 1 ) (1 m,. sec) (, ) (15 m, 1. sec) ( 3, ) (3 m,. sec) (, ) (1 m, 3. sec) ( 5, 5 ) ( m,. sec) (meers) 1 (seconds) Compre dsplcemen dsnce g. el. g. speed 1 s 1, 1 5 m d 5 m,g 5 m/s,g 5 m/s s 1,3 3 1 m d m,g 1 m/s,g 1 m/s 3 s 1, 1 m d m,g m/s,g 13 m/s Here d 1, +,3 + 3, 5 m + 15 m + m m Speed nd elocy mesure deren hngs! Physcs 1: Lecure, Pg Clculng ph dsnce n generl d d d d d d Physcs 1: Lecure, Pg 1 (meers) - Eercse Aerge Velocy (seconds) Wh s he mgnude o he erge elocy oer he rs seconds? (A) -1 m/s 1 3 (B) m/s (C) 1 m/s (D) no enough normon o decde. Physcs 1: Lecure, Pg 15 Aerge Velocy Eercse 3 Wh s he erge elocy n he ls second ( 3 o )? (meers) - A. m/s B. m/s C. 1 m/s D. m/s 1 3 (seconds) Physcs 1: Lecure, Pg 1 Aerge Speed Eercse Wh s he erge speed oer he rs seconds? m o - m o m o m 8 meers ol A. m/s B. m/s C. 1 m/s D. m/s (meers) urnng pon (seconds) Physcs 1: Lecure, Pg 17 Insnneous elocy Lmng cse s he chnge n me (dsplcemen ) lm (me) Yellow lnes re erge eloces d d As elocy s he ngen o he cure (& ph) Dshed green lne s nsnneous elocy s Physcs 1: Lecure, Pg 18 Pge 3

4 Physcs 1 Lecure Insnneous speed Jus he mgnude o he nsnneous elocy lm ( me ) (dsplceme n ) d d s (meers) Eercse 5 Insnneous Velocy (seconds) Wh s he nsnneous elocy he ourh second? (A) m/s (B) m/s (C) 1 m/s (D) no enough normon o decde. Physcs 1: Lecure, Pg 19 Physcs 1: Lecure, Pg Specl cse: Insnneous elocy s consn Slope s consn oer me. consn d d (, ) (, ) Physcs 1: Lecure, Pg 1 Specl cse: Insnneous elocy s consn Slope s consn oer me. (, ) (, ) + Gen, nd we cn deduce nd hs relecs he re under he elocy cure Physcs 1: Lecure, Pg Now mulple ; P s elocy plo ( 1, 1 ) (1 m,. s) (, ) (15 m, 1. s) ( 3, 3 ) (3 m,. s) (, ) (1 m, 3. s) ( 5, 5 ) ( m,. s) (meers) (m/s) (seconds) 1 3 (seconds) Physcs 1: Lecure, Pg 3 Home eercse (nd some hngs re eser hn hey pper) A mrhon runner runs sedy 15 km/hr. When he runner s 7.5 km rom he nsh, brd begns lyng rom he runner o he nsh 3 km/hr. When he brd reches he nsh lne, urns round nd les bck o he runner, nd hen urns round gn, repeng he bck-nd-orh rps unl he runner reches he nsh lne. How mny klomeers does he brd rel? A. 1 km B. 15 km C. km D. 3 km Physcs 1: Lecure, Pg Pge

5 Physcs 1 Lecure bjecs wh slowly ryng eloces ( ) [ s uncon o ] d d l Chnge o he chnge. chnges n elocy wh me ge erge cceleron,g Physcs 1: Lecure, Pg 5 And nlly nsnneous cceleron,g lm d d d d d d Physcs 1: Lecure, Pg Emple problem Emple problem l A cr moes o he rgh rs or. sec 1. m/s nd hen. seconds. m/s. l Wh ws he erge elocy? l Two legs wh consn elocy bu. l A prcle moes o he rgh rs or. seconds 1. m/s nd hen. seconds. m/s. l Wh ws he erge elocy? 1 + Ag l Two legs wh consn elocy bu.,g 1 + l We mus nd he ol dsplcemen ( ) l And 1 + ( 1 - ) ( - 1 ) l Dsplcemen s ( - 1 ) + ( 1 ) 1 ( - 1 ) + ( 1 - ) l 1 m/s ( s) + m/s ( s) 1 m n. s or 1.7 m/s Physcs 1: Lecure, Pg 7 Physcs 1: Lecure, Pg 8 l All re ecors! Poson, elocy & cceleron l Cnno be used nerchngebly (deren uns!) (e.g., poson ecors cnno be dded drecly o elocy ecors) l Bu he drecons cn be deermned Chnge n he poson ecor r s. me ges he drecon o he elocy ecor r Chnge n he elocy ecor s. me ges he drecon o he cceleron ecor l Gen () () () l Gen () () () Assgnmen l Redng or Tuesdy s clss» All o Chper Physcs 1: Lecure, Pg 9 Physcs 1: Lecure, Pg 3 Pge 5

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