Kinemics Reiew Checklis Vecors n Sclrs 1.1.0 Gie exmples of ecors n sclrs; n recognize he ifference beween hem. Wh wo prs oes ecor he? Which of hese prs comprises sclr? Which of he following re ecors? Which re sclrs? () isnce () elociy (b) isplcemen (e) ccelerion (c) spee (f) ime 1.1.1 Inerpre grphs of isnce or isplcemen s. ime. Use he grphs o eermine erge spee; isplcemen; or isnce rele. The grph below shows he isnce rele by n objec s funcion of ime. During wh ime inerl(s) ws The objec s erge spee grees? The objec s spee zero? How fr i he objec rel beween 3 n 6 secons? Disnce n Displcemen 1.1.1 Explin he ifference beween isnce n isplcemen. Two men lee he sme house he sme ime. ill wlks wo blocks norh, hen four blocks souh. Joe wlks hree blocks es, hen one block norh. - Skech igrm of he heir phs. - Which mn rels he greer isnce? - Which mn finishes his rip wih he greer isplcemen? Explin how i is possible for person o rel gre isnce, n ye he finl isplcemen of zero. Two people rel from New York Ciy o oson. One person rels by plne, he oher by cr. Which person probbly rels he greer isnce uring his rip? Compre he isplcemens of he wo people ssuming h hey boh sr JFK irpor n finish Logn irpor. The grph below shows n objec s isplcemen s funcion of ime. Wh ws he objec s irecion of rel uring he ime inerl 7 o 8 secons? How fr i he objec rel beween 4 n 8 secons? Wh ws he objec s erge spee uring he ime inerl 1 o 2 secons? Wh is he objec s finl posiion?
Spee n Velociy 1.1.1C Explin he ifference beween spee n elociy. Use equion o eermine erge spee or elociy. Two crs lee he sme house he sme ime. During he sme inerl of ime: he firs cr rels hree blocks es hen hree blocks wes; while he secon cr rels four blocks wes, hen one block norh. - Which cr h he greer erge spee? (look isnce!) - Which cr h he greer erge elociy? (look isplcemen!) c moes 15 meers es in 5 secons. Wh ws is erge spee? fish swims 20 meers souh in 10 secons. Wh ws is erge elociy? jogger kes hree mile run. The firs mile kes him 10 minues o complee, he secon mile kes him 11 minues o complee, n he hir kes him 9.5 minues o complee. Deermine his erge spee. 1.1.1D Inerpre grphs of spee or elociy s. ime. Use he grphs o eermine erge spee; ccelerion; isplcemen; or isnce rele. The grph below shows he spee of n objec s funcion of ime. During wh ime inerl(s) ws The objec s spee grees? The objec s ccelerion grees? The objec no moing? How fr i he objec rel beween 0 n 4 secons? n objec begins wih spee of 6 meers per secon n spees up o 10 meers per secon in 4.0 secons. Wh is he objec s erge spee uring hese 4.0 secons? The grph below shows n objec s elociy s funcion of ime. Wh ws he objec s spee = 3 secons? During wh ime inerl ws he objec moing o he lef? Wh ws he objec s erge spee uring he ime inerl 1 o 2 secons? Wh ws he objec s ccelerion uring he inerl 3 o 4 secons? Nme one inerl uring which spee ws consn.
ccelerion 1.1.1E Explin he ifference beween elociy n ccelerion. Use equions o eermine ccelerion; sring elociy; ening elociy; or ime. Unersn wh he erms from res ; comes o sop ; comes o res men in erms of kinemics. n objec begins from res n reches elociy of +10 meers per secon while ccelering for 4.0 secons. Deermine he ccelerion of he objec. wh re oes n objec ccelere if i chnges is spee from 3.0 meers per secon o 5.0 meers per secon while reling isnce of 4.0 meer? How long oes i ke for n objec o rech elociy of 2.0 meers per secon norh if i begins wih elociy of 8.0 meers per secon souh n cceleres norh re of 4.0 meers per secon 2? cr moing 2.0 meers per secon spees up re of 5.0 meers per secon 2 for 4.0 secons. Wh is he finl spee of he cr? n objec begins wih elociy of 20 meers per secon wes n comes o sop wihin 4.0 secons. Deermine he irecion n mgniue of he ccelerion h ce upon his objec. Freefll n Vericlly Thrown Objecs 1.1.2 Explin he behior of objecs in freefll (in he bsence of ir resisnce.). Unersn he erms roppe n mximum heigh. Wh spee will bll rech if i flls from res for 3.0 secons? n objec wih elociy of 6.0 meers per secon norh cceleres souh re of 5.0 meers per secon 2 for 3.0 secons. Wh is he finl spee of he objec? In which irecion is he objec moing fer 3.0 secons? How fr will roppe objec he fllen fer 2.0 secons? Wh mximum heigh will n objec rech if i hrown irecly upwr wih spee of 15 meers per secon? How long will i ke o rech his heigh? Kinemics Equions 1.1.1F Use equions o eermine isnce; isplcemen; spee; elociy; ccelerion; or ime. How fr oes n objec rel if i srs from res n cceleres re of 2.0 meers per secon 2 for 6.5 secons? Wh is he heigh of n objec h is hrown upwr wih spee of 20 meers per secon 1.5 secons fer i is hrown? n objec is hrown irecly upwr wih spee of 25 meers per secon. How long will i ke o come bck o he posiion from which i ws relese? Wh is he finl spee of cr h begins wih elociy of +3.0 meers per secon if i cceleres re of +1.5 meers per secon 2 while reling +25 meers? How long oes i ke for n objec h is roppe from he op of 45 meer high builing o rech he groun?
One-Dimensionl Kinemics Grphs 1.1.3 Rele grphs of: isnce/isplcemen s. ime; spee/elociy s. ime; n ccelerion s. ime Which ses of grphs coul escribe he moion of he sme objec? Which grph woul bes represen () spee s. ime for n unmoing objec (b) isplcemen s. ime for n objec moing wih consn spee (c) spee s. ime for ecelering objec () isnce s. ime for n objec wih incresing spee (e) elociy s. ime for n objec wih consnly incresing isplcemen (f) ccelerion s. ime for n objec h is moing consn spee (g) isplcemen s. ime for n objec h is moing owr is poin of origin (h) ccelerion s. ime for n objec h is incresing is spee consn re C D C D E F E F Vecors 1.2.0 ecors grphiclly. Use prorcor n ruler o consruc resuln for he following pir of ecors. G H I J 1.1.3 Ienify grphs of isnce/isplcemen, spee/elociy, or ccelerion h escribe specific coniions.
1.2.0 Deermine ecor componens. Deermine he resuln of perpeniculr componens. n objec moes wih elociy of 15 meers per secon in irecion h is 25 norh of es. Wh is he norh-wr componen of his elociy? Wh is he es-wr componen of his elociy? Two-Dimensionl Moion Consn Velociy in oh Dimensions 1.2.0C Deermine resuln spee/elociy in wo imensionl sysem. girl rows bo wih elociy of 2.5 meers per secon ue es cross rier. s she rows cross he rier, curren of 1.5 meers per secon pushes her bo ue norh. Skech se of ecors o represen hese wo elociies. Wh is he resuln spee of he girl s bo? N Two-Dimensionl Moion Groun Lunche Projeciles 1.2.1 Deermine he componens of groun-lunche projecile s iniil elociy. cnnonbll is fire elociy of 200 meers per secon n ngle of 35 boe he horizonl. - Wh is he ericl componen of he bll s iniil elociy? - Wh is he horizonl componen of he bll s iniil elociy? 1.2.1 Explin he ssumpions h mus be me in orer o sole groun-lunche projecile problem. Wh ssumpions shoul be me bou he horizonl n ericl ccelerions of groun-lunche projeciles? Wh ssumpion cn be me regring he relionship beween he ime h i kes for groun-lunche projecile o rech is mximum heigh n is ol ime of fligh? 1.2.0D Deermine n unknown rible in wo imensionl sysem wih consn elociy in boh irecions. plne flies norh wih spee of 100 meers per secon. he sme ime, crosswin pushes he plne es wih spee of 15 meers per secon. In he ime h he plne flies 300 meers norh, how fr es will i rif? n n crwls wih spee of 0.1 meer per secon irecly wes cross coneyor bel h is 0.5 meer wie. he sme ime, he coneyor bel moes souh. Wh spee ws he coneyor bel moing wih if he n moes 10 meers souh in he sme ime h i kes i o ge cross he bel? 1.2.1C Skech se of ecors ny posiion in he ph of grounlunche projecile. Compre elociies n ccelerions ifferen poins in projecile ph. ech posiion:,, n C skech ecor o represen he ericl n horizonl elociies of he objec. Compre he ericl spee o he ericl spee. Compre he horizonl spee o he horizonl spee C. Compre he ericl ccelerion o he ericl ccelerion C. Compre he horizonl ccelerion o he horizonl ccelerion. C
1.2.1D Use equions o eermine: ime of fligh; mximum heigh; horizonl isnce of rel; or lunch ngle for groun-lunche projecile. bll is hrown wih n iniil elociy of 15 meers per secon n ngle of 20 boe he horizonl. - Deermine he ericl componen of he bll s iniil elociy. - Deermine he bll s ol ime of fligh. 1.2.1F Explin he relionship beween groun-lunche projecile s horizonl isnce of rel (rnge) n ngle of lunch. wh lunch ngle will projecile hrown wih iniil elociy V in he grees horizonl isnce of rel? () 30 (b) 45 (c) 60 () 90 rock h is projece wih n iniil elociy of 24 meers per secon n ngle of 60 boe horizonl kes 2.12 secons o rech is mximum heigh. - Wh is he horizonl componen of he bll s iniil elociy? - Wh ol horizonl isnce will he rock rel before i lns? projecile is fire wih n iniil ericl elociy of 12 meers per secon n n iniil horizonl elociy of 15 meers per secon. - Deermine he mximum ericl heigh h he projecile will rech. - Deermine he ngle wih which he projecile ws lunche. Two-Dimensionl Moion Horizonl Projeciles 1.2.1G Explin he ssumpions h mus be me in orer o sole horizonl projecile problem. Wh ssumpions shoul be me bou he horizonl n ericl ccelerions of groun-lunche projeciles? Wh ssumpion mus be me bou he iniil ericl elociy of horizonlly lunche objec? 1.2.1E Explin he relionship beween projecile fligh ime; mximum heigh; n iniil ericl elociy. projecile is fire wih iniil elociy V n ngle θ boe he horizonl. Which lue of θ will gie he projecile is grees ericl heigh? () 30 (b) 45 (c) 60 () 90 Which grph bes represens he relionship beween projecile fligh ime n iniil ericl elociy? fligh ime er el fligh ime fligh ime fligh ime er el er el er el C D 1.2.1H Skech se of ecors ny posiion in he ph of horizonlly-lunche projecile. Compre elociies n ccelerions ifferen poins in projecile ph. ech posiion: n skech ecor o represen he ericl n horizonl elociies of he objec. - Compre he ericl spee o he ericl spee. - Compre he horizonl spee o he horizonl spee. - Compre he ericl ccelerion o he ericl ccelerion. - Compre he horizonl ccelerion o he horizonl ccelerion.
1.2.1J Use equions o eermine: ime of fligh; lunch heigh; horizonl isnce of rel; or iniil elociy of horizonlly-lunche projecile. n objec is hrown horizonlly from heigh of 10 meers wih n iniil elociy of 8.0 meers per secon. Deermine he horizonl isnce h he objec will rel. bll is hrown horizonlly wih n iniil elociy of 5.0 meers per secon. The bll rels 15 meers horizonlly before i lns. Wh ericl heigh ws i hrown from? projecile is fire horizonlly from heigh of 15.0 meers boe he groun. The projecile rels 40 meers horizonlly from he poin from which i ws fire before i lns. Wh iniil elociy ws he projecile fire wih? 1.2.1K Compre horizonlly-lunche projeciles o objecs in freefll. Two objecs n begin from he sme poin boe he groun. Objec is hrown horizonlly from his heigh wih n inil elociy. Objec is roppe from he sme heigh he sme ime. Which of he following semens regring hese wo objecs is rue? (There my be more hn one!) () oh objecs will experience he sme ericl ccelerion. (b) oh objecs will he he sme iniil ericl elociy. (c) oh objecs will rech he groun in he sme moun of ime. () oh objecs will rel he sme isnce ericlly. (e) oh objecs will rel he sme isnce horizonlly. (f) Objec will ke less ime o hi he groun hn objec. (g) Objec will he greer oerll spee hn objec ll imes.