MOTION ALONG A STRAIGHT LINE

Chaper 2: MOTION ALONG A STRAIGHT LINE 1 A paricle moes along he ais from i o f Of he following alues of he iniial and final coordinaes, which resuls in he displacemen wih he larges magniude? A i =4m, f =6m B i = 4m, f = 8m C i = 4m, f =2m D i =4m, f = 2m E i = 4m, f =4m 2 A paricle moes along he ais from i o f Of he following alues of he iniial and final coordinaes, which resuls in a negaie displacemen? A i =4m, f =6m B i = 4m, f = 8m C i = 4m, f =2m D i = 4m, f = 2m E i = 4m, f =4m 3 The aerage speed of a moing objec during a gien ineral of ime is always: A he magniude of is aerage elociy oer he ineral B he disance coered during he ime ineral diided by he ime ineral C one-half is speed a he end of he ineral D is acceleraion muliplied by he ime ineral E one-half is acceleraion muliplied by he ime ineral 4 Two auomobiles are 150 kilomeers apar and raeling oward each oher One auomobile is moing a 60 km/h and he oher is moing a 40 km/h mph In how many hours will hey mee? A 25 B 20 C 175 D 15 E 125 5 A car raels 40 kilomeers a an aerage speed of 80 km/h and hen raels 40 kilomeers a an aerage speed of 40 km/h The aerage speed of he car for his 80-km rip is: A 40 km/h B 45 km/h C 48 km/h D 53 km/h E 80 km/h Chaper 2: MOTION ALONG A STRAIGHT LINE 7

6 A car sars from Hiher, goes 50 km in a sraigh line o Yon, immediaely urns around, and reurns o Hiher The ime for his round rip is 2 hours The magniude of he aerage elociy of he car for his round rip is: A 0 B 50 km/hr C 100 km/hr D 200 km/hr E canno be calculaed wihou knowing he acceleraion 7 A car sars from Hiher, goes 50 km in a sraigh line o Yon, immediaely urns around, and reurns o Hiher The ime for his round rip is 2 hours The aerage speed of he car for his round rip is: A 0 B 50 km/h C 100 km/h D 200 km/h E canno be calculaed wihou knowing he acceleraion 8 The coordinae of a paricle in meers is gien by () =16 30 3, where he ime is in seconds The paricle is momenarily a res a = A 075 s B 13s C 53s D 73s E 93s 9 A drag racing car sars from res a = 0 and moes along a sraigh line wih elociy gien by = b 2, where b is a consan The epression for he disance raeled by his car from is posiion a = 0 is: A b 3 B b 3 /3 C 4b 2 D 3b 2 E b 3/2 10 A ball rolls up a slope A he end of hree seconds is elociy is 20 cm/s; a he end of eigh seconds is elociy is 0 Wha is he aerage acceleraion from he hird o he eighh second? A 25cm/s 2 B 40cm/s 2 C 50cm/s 2 D 60cm/s 2 E 667 cm/s 2 8 Chaper 2: MOTION ALONG A STRAIGHT LINE

11 The coordinae of an objec is gien as a funcion of ime by =7 3 2, where is in meers and is in seconds Is aerage elociy oer he ineral from =0o = 4 s is: A 5 m/s B 5m/s C 11 m/s D 11 m/s E 145m/s 12 The elociy of an objec is gien as a funcion of ime by =4 3 2, where is in m/s and is in seconds Is aerage elociy oer he ineral from =0o =2s: A is 0 B is 2m/s C is 2 m/s D is 4m/s E canno be calculaed unless he iniial posiion is gien 13 The coordinae of an objec is gien as a funcion of ime by =4 2 3 3, where is in meers and is in seconds Is aerage acceleraion oer he ineral from =0o = 2 s is: A 4m/s 2 B 4 m/s 2 C 10 m/s 2 D 10 m/s 2 E 13 m/s 2 14 Each of four paricles moe along an ais Their coordinaes (in meers) as funcions of ime (in seconds) are gien by paricle 1: () =35 27 3 paricle 2: () =35+27 3 paricle 3: () =35+27 2 paricle 4: () =35 34 27 2 Which of hese paricles hae consan acceleraion? A All four B Only 1 and 2 C Only 2 and 3 D Only 3 and 4 E None of hem Chaper 2: MOTION ALONG A STRAIGHT LINE 9

15 Each of four paricles moe along an ais Their coordinaes (in meers) as funcions of ime (in seconds) are gien by paricle 1: () =35 27 3 paricle 2: () =35+27 3 paricle 3: () =35+27 2 paricle 4: () =35 34 27 2 Which of hese paricles is speeding up for >0? A All four B Only 1 C Only 2 and 3 D Only 2, 3, and 4 E None of hem 16 An objec sars from res a he origin and moes along he ais wih a consan acceleraion of 4 m/s 2 Is aerage elociy as i goes from =2mo = 8 m is: A 1 m/s B 2 m/s C 3 m/s D 5 m/s E 6 m/s 17 Of he following siuaions, which one is impossible? A A body haing elociy eas and acceleraion eas B A body haing elociy eas and acceleraion wes C A body haing zero elociy and non-zero acceleraion D A body haing consan acceleraion and ariable elociy E A body haing consan elociy and ariable acceleraion 18 Throughou a ime ineral, while he speed of a paricle increases as i moes along he ais, is elociy and acceleraion migh be: A posiie and negaie, respeciely B negaie and posiie, respeciely C negaie and negaie, respeciely D negaie and zero, respeciely E posiie and zero, respeciely 19 A paricle moes on he ais When is acceleraion is posiie and increasing: A is elociy mus be posiie B is elociy mus be negaie C i mus be slowing down D i mus be speeding up E none of he aboe mus be rue 10 Chaper 2: MOTION ALONG A STRAIGHT LINE

20 The posiion y of a paricle moing along he y ais depends on he ime according o he equaion y = a b 2 The dimensions of he quaniies a and b are respeciely: A L 2 /T, L 3 /T 2 B L/T 2,L 2 /T C L/T, L/T 2 D L 3 /T, T 2 /L E none of hese 21 A paricle moes along he ais according o he equaion =6 2, where is in meers and is in seconds Therefore: A he acceleraion of he paricle is 6 m/s 2 B canno be negaie C he paricle follows a parabolic pah D each second he elociy of he paricle changes by 98 m/s E none of he aboe 22 Oer a shor ineral near ime = 0 he coordinae of an auomobile in meers is gien by () =27 40 3, where is in seconds A he end of 10 s he acceleraion of he auo is: A 27 m/s 2 B 40 m/s 2 C 40 m/s 2 D 12 m/s 2 E 24 m/s 2 23 Oer a shor ineral, saring a ime = 0, he coordinae of an auomobile in meers is gien by () =27 40 3, where is in seconds The magniudes of he iniial (a = 0) elociy and acceleraion of he auo respeciely are: A 0; 12 m/s 2 B 0; 24 m/s 2 C 27 m/s; 0 D 27 m/s; 12 m/s 2 E 27 m/s; 24 m/s 2 24 A ime = 0 a car has a elociy of 16 m/s I slows down wih an acceleraion gien by 050, in m/s 2 for in seconds I sops a = A 64 s B 32 s C 16 s D 80 s E 40 s Chaper 2: MOTION ALONG A STRAIGHT LINE 11

25 A ime = 0 a car has a elociy of 16 m/s I slows down wih an acceleraion gien by 050, in m/s 2 for in seconds A he end of 40 s i has raeled: A 0 B 12 m C 14 m D 25 m E 59 m 26 A ime = 0 a car has a elociy of 16 m/s I slows down wih an acceleraion gien by 050, in m/s 2 for in seconds By he ime i sops i has raeled: A 15 m B 31 m C 62 m D 85 m E 100 m 27 Saring a ime = 0, an objec moes along a sraigh line wih elociy in m/s gien by () =98 2 2, where is in seconds When i momenarily sops is acceleraion is: A 0 B 40 m/s 2 C 98 m/s 2 D 28 m/s 2 E 49 m/s 2 28 Saring a ime = 0, an objec moes along a sraigh line Is coordinae in meers is gien by () =75 10 3, where is in seconds When i momenarily sops is acceleraion is: A 0 B 73 m/s 2 C 30 m/s 2 D 98 m/s 2 E 92 10 3 m/s 2 29 A car, iniially a res, raels 20 m in 4 s along a sraigh line wih consan acceleraion The acceleraion of he car is: A 04m/s 2 B 13m/s 2 C 25m/s 2 D 49m/s 2 E 98m/s 2 12 Chaper 2: MOTION ALONG A STRAIGHT LINE

30 A racing car raeling wih consan acceleraion increases is speed from 10 m/s o50m/s oer a disance of 60 m How long does his ake? A 20s B 40s C 50s D 80s E The ime canno be calculaed since he speed is no consan 31 A car sars from res and goes down a slope wih a consan acceleraion of 5 m/s 2 Afer 5 s he car reaches he boom of he hill Is speed a he boom of he hill, in meers per second, is: A 1 B 125 C 25 D 50 E 160 32 A car moing wih an iniial elociy of 25 m/s norh has a consan acceleraion of 3 m/s 2 souh Afer 6 seconds is elociy will be: A 7 m/s norh B 7 m/s souh C 43 m/s norh D 20 m/s norh E 20 m/s souh 33 An objec wih an iniial elociy of 12 m/s wes eperiences a consan acceleraion of 4 m/s 2 wes for 3 seconds During his ime he objec raels a disance of: A 12 m B 24 m C 36 m D 54 m E 144 m 34 Howfardoesacarraelin6sifisiniial elociy is 2 m/s and is acceleraion is 2 m/s 2 in he forward direcion? A 12 m B 14 m C 24 m D 36 m E 48 m Chaper 2: MOTION ALONG A STRAIGHT LINE 13

35 A a sop ligh, a ruck raeling a 15 m/s passes a car as i sars from res The ruck raels a consan elociy and he car acceleraes a 3 m/s 2 How much ime does he car ake o cach up o he ruck? A 5 s B 10 s C 15 s D 20 s E 25 s 36 A ball is in free fall Is acceleraion is: A downward during boh ascen and descen B downward during ascen and upward during descen C upward during ascen and downward during descen D upward during boh ascen and descen E downward a all imes ecep a he ery op, when i is zero 37 A ball is in free fall Upward is aken o be he posiie direcion The displacemen of he ball during a shor ime ineral is: A posiie during boh ascen and descen B negaie during boh ascen and descen C negaie during ascen and posiie during descen D posiie during ascen and negaie during descen E none of he aboe 38 A baseball is hrown erically ino he air The acceleraion of he ball a is highes poin is: A zero B g, down C g, up D 2g, down E 2g, up 39 Which one of he following saemens is correc for an objec released from res? A The aerage elociy during he firs second of ime is 49m/s B During each second he objec falls 98m C The acceleraion changes by 98m/s 2 eery second D The objec falls 98 m during he firs second of ime E The acceleraion of he objec is proporional o is weigh 14 Chaper 2: MOTION ALONG A STRAIGHT LINE

40 A freely falling body has a consan acceleraion of 98 m/s 2 This means ha: A he body falls 98 m during each second B he body falls 98 m during he firs second only C he speed of he body increases by 98 m/s during each second D he acceleraion of he body increases by 98 m/s 2 during each second E he acceleraion of he body decreases by 98 m/s 2 during each second 41 An objec is sho erically upward While i is rising: A is elociy and acceleraion are boh upward B is elociy is upward and is acceleraion is downward C is elociy and acceleraion are boh downward D is elociy is downward and is acceleraion is upward E is elociy and acceleraion are boh decreasing 42 An objec is hrown sraigh up from ground leel wih a speed of 50 m/s If g = 10 m/s 2 is disance aboe ground leel 10 s laer is: A 40 m B 45 m C 50 m D 55 m E 60 m 43 An objec is hrown sraigh up from ground leel wih a speed of 50 m/s If g = 10 m/s 2 is disance aboe ground leel 60 s laer is: A 000 m B 270 m C 330 m D 480 m E none of hese 44 A a locaion where g =980 m/s 2, an objec is hrown erically down wih an iniial speed of 100 m/s Afer 500 s he objec will hae raeled: A 125 m B 1275 m C 245 m D 250 m E 255 m Chaper 2: MOTION ALONG A STRAIGHT LINE 15

45 An objec is hrown erically upward a 35 m/s Taking g = 10 m/s 2, he elociy of he objec 5 s laer is: A 70 m/s up B 15 m/s down C 15 m/s up D 85 m/s down E 85 m/s up 46 A feaher, iniially a res, is released in a acuum 12 m aboe he surface of he earh Which of he following saemens is correc? A The maimum elociy of he feaher is 98 m/s B The acceleraion of he feaher decreases unil erminal elociy is reached C The acceleraion of he feaher remains consan during he fall D The acceleraion of he feaher increases during he fall E The acceleraion of he feaher is zero 47 An objec is released from res How far does i fall during he second second of is fall? A 49m B 98m C 15 m D 20 m E 25 m 48 A heay ball falls freely, saring from res Beween he hird and fourh second of ime i raels a disance of: A 49 m B 98 m C 294 m D 343 m E 398 m 49 As a rocke is acceleraing erically upward a 98 m/s 2 near Earh s surface, i releases a projecile Immediaely afer release he acceleraion (in m/s 2 ) of he projecile is: A 98 down B 0 C 98 up D 196 up E none of he aboe 16 Chaper 2: MOTION ALONG A STRAIGHT LINE

50 A sone is released from a balloon ha is descending a a consan speed of 10 m/s Neglecing air resisance, afer 20 s he speed of he sone is: A 2160 m/s B 1760 m/s C 206 m/s D 196 m/s E 186 m/s 51 An objec dropped from he window of a all building his he ground in 120 s If is acceleraion is 980 m/s 2, he heigh of he window aboe he ground is: A 294 m B 588 m C 118 m D 353 m E 706 m 52 Neglecing he effec of air resisance a sone dropped off a 175-m high building lands on he ground in: A 3 s B 4 s C 6 s D 18 s E 36 s 53 A sone is hrown erically upward wih an iniial speed of 195 m/s I will rise o a maimum heigh of: A 49 m B 98 m C 194 m D 388 m E none of hese 54 A baseball is hi sraigh up and is caugh by he cacher 20 s laer The maimum heigh of he ball during his ineral is: A 49 m B 74 m C 98 m D 126 m E 196 m Chaper 2: MOTION ALONG A STRAIGHT LINE 17

55 An objec is hrown sraigh down wih an iniial speed of 4 m/s from a window which is 8 m aboe he ground The ime i akes he objec o reach he ground is: A 080 s B 093 s C 13 s D 17 s E 20 s 56 A sone is released from res from he edge of a building roof 190 m aboe he ground Neglecing air resisance, he speed of he sone, jus before sriking he ground, is: A 43 m/s B 61 m/s C 120 m/s D 190 m/s E 1400 m/s 57 An objec is hrown erically upward wih a cerain iniial elociy in a world where he acceleraion due o graiy is 196 m/s 2 The heigh o which i rises is ha o which he objec would rise if hrown upward wih he same iniial elociy on he Earh Neglec fricion A half B 2 imes C wice D four imes E canno be calculaed from he gien daa 58 A projecile is sho erically upward wih a gien iniial elociy I reaches a maimum heigh of 100 m If, on a second sho, he iniial elociy is doubled hen he projecile will reach a maimum heigh of: A 707 m B 1414 m C 200 m D 241 m E 400 m 59 One objec is hrown erically upward wih an iniial elociy of 100 m/s and anoher objec wih an iniial elociy of 10 m/s The maimum heigh reached by he firs objec will be ha of he oher A 10 imes B 100 imes C 1000 imes D 10, 000 imes E none of hese 18 Chaper 2: MOTION ALONG A STRAIGHT LINE

60 The area under a elociy-ime graph represens: A acceleraion B change in acceleraion C speed D change in elociy E displacemen 61 Displacemen can be obained from: A he slope of an acceleraion-ime graph B he slope of a elociy-ime graph C he area under an acceleraion-ime graph D he area under a elociy-ime graph E he slope of an acceleraion-ime graph 62 An objec has a consan acceleraion of 3 m/s 2 The coordinae ersus ime graph for his objec has a slope: A ha increases wih ime B ha is consan C ha decreases wih ime D of 3 m/s E of 3 m/s 2 63 The coordinae-ime graph of an objec is a sraigh line wih a posiie slope The objec has: A consan displacemen B seadily increasing acceleraion C seadily decreasing acceleraion D consan elociy E seadily increasing elociy Chaper 2: MOTION ALONG A STRAIGHT LINE 19

64 Which of he following fie coordinae ersus ime graphs represens he moion of an objec moing wih a consan nonzero speed? A B C D E 65 Which of he following fie acceleraion ersus ime graphs is correc for an objec moing in a sraigh line a a consan elociy of 20 m/s? a A a B a C a D a E 20 Chaper 2: MOTION ALONG A STRAIGHT LINE

66 Which of he following fie coordinae ersus ime graphs represens he moion of an objec whose speed is increasing? A B C D E 67 A car acceleraes from res on a sraigh road A shor ime laer, he car deceleraes o a sop and hen reurns o is original posiion in a similar manner, by speeding up and hen slowing o a sop Which of he following fie coordinae ersus ime graphs bes describes he moion? A B C D E Chaper 2: MOTION ALONG A STRAIGHT LINE 21

68 The acceleraion of an objec, saring from res, is shown in he graph below Oher han a = 0, when is he elociy of he objec equal o zero? a(m/s 2 ) 5 1 2 3 4 5 (s) 5 A During he ineral from 10 s o 30 s B A =35s C A =40s D A =50s E A no oher ime less han or equal o 5 s 69 An eleaor is moing upward wih consan acceleraion The dashed cure shows he posiion y of he ceiling of he eleaor as a funcion of he ime A he insan indicaed by he do, a bol breaks loose and drops from he ceiling Which cure bes represens he posiion of he bol as a funcion of ime? y E A B C D 22 Chaper 2: MOTION ALONG A STRAIGHT LINE

70 The diagram shows a elociy-ime graph for a car moing in a sraigh line A poin Q he car mus be: P Q A moing wih zero acceleraion B raeling downhill C raeling below ground-leel D reducing speed E raeling in he reerse direcion o ha a poin P 71 The diagram shows a elociy-ime graph for a car moing in a sraigh line A poin P he car mus be: P A moing wih zero acceleraion B climbing he hill C acceleraing D saionary E moing a abou 45 wih respec o he ais Chaper 2: MOTION ALONG A STRAIGHT LINE 23

72 The graph represens he sraigh line moion of a car How far does he car rael beween = 2 s and =5s? (m/s) 12 6 2 5 9 (s) A 4 m B 12 m C 24 m D 36 m E 60 m 73 The diagram represens he sraigh line moion of a car Which of he following saemens is rue? (m/s) 12 6 2 5 9 (s) A The car acceleraes, sops, and reerses B The car acceleraes a 6 m/s 2 for he firs 2 s C The car is moing for a oal ime of 12 s D The car deceleraes a 12 m/s 2 for he las 4 s E The car reurns o is saring poin when =9s 24 Chaper 2: MOTION ALONG A STRAIGHT LINE

74 Consider he following fie graphs (noe he aes carefully) Which of hese represens moion a consan speed? a I II III a IV V A IV only B IV and V only C I, II, and III only D I and II only E I and IV only 75 An objec is dropped from res Which of he following fie graphs correcly represens is moion? The posiie direcion is aken o be downward A B C y D E Chaper 2: MOTION ALONG A STRAIGHT LINE 25

76 A sone is dropped from a cliff The graph (carefully noe he aes) which bes represens is moion while i falls is: A B C a D a E 77 An objec is hrown erically ino he air Which of he following fie graphs represens he elociy () of he objec as a funcion of he ime ()? The posiie direcion is aken o be upward A B C D E 26 Chaper 2: MOTION ALONG A STRAIGHT LINE