# MOTION ALONG A STRAIGHT LINE

Save this PDF as:

Size: px
Start display at page:

## Transcription

1 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 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

2 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 () = , 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

3 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 = , 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: () = paricle 2: () = paricle 3: () = paricle 4: () = 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

4 15 Each of four paricles moe along an ais Their coordinaes (in meers) as funcions of ime (in seconds) are gien by paricle 1: () = paricle 2: () = paricle 3: () = paricle 4: () = 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

5 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 () = , 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 () = , 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

6 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 () = , 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 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

7 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 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

8 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

9 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

10 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

11 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

12 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

13 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

14 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

15 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

16 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 ) (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

17 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

18 72 The graph represens he sraigh line moion of a car How far does he car rael beween = 2 s and =5s? (m/s) (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) (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

19 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

20 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

### Chapter 2 Kinematics in One Dimension

Chaper Kinemaics in One Dimension Chaper DESCRIBING MOTION:KINEMATICS IN ONE DIMENSION PREVIEW Kinemaics is he sudy of how hings moe how far (disance and displacemen), how fas (speed and elociy), and how

### Answer, Key Homework 2 David McIntyre 45123 Mar 25, 2004 1

Answer, Key Homework 2 Daid McInyre 4123 Mar 2, 2004 1 This prin-ou should hae 1 quesions. Muliple-choice quesions may coninue on he ne column or page find all choices before making your selecion. The

### 1. The graph shows the variation with time t of the velocity v of an object.

1. he graph shows he variaion wih ime of he velociy v of an objec. v Which one of he following graphs bes represens he variaion wih ime of he acceleraion a of he objec? A. a B. a C. a D. a 2. A ball, iniially

### Physics 107 HOMEWORK ASSIGNMENT #2

Phsics 7 HOMEWORK ASSIGNMENT # Cunell & Johnson, 7 h ediion Chaper : Problem 5 Chaper : Problems 44, 54, 56 Chaper 3: Problem 38 *5 Muliple-Concep Example 9 deals wih he conceps ha are imporan in his problem.

### Chapter 2 Problems. s = d t up. = 40km / hr d t down. 60km / hr. d t total. + t down. = t up. = 40km / hr + d. 60km / hr + 40km / hr

Chaper 2 Problems 2.2 A car ravels up a hill a a consan speed of 40km/h and reurns down he hill a a consan speed of 60 km/h. Calculae he average speed for he rip. This problem is a bi more suble han i

### Kinematics in 1-D From Problems and Solutions in Introductory Mechanics (Draft version, August 2014) David Morin, morin@physics.harvard.

Chaper 2 Kinemaics in 1-D From Problems and Soluions in Inroducory Mechanics (Draf ersion, Augus 2014) Daid Morin, morin@physics.harard.edu As menioned in he preface, his book should no be hough of as

### Chapter 2 Motion in One Dimension

Chaper Moion in One Dimension Concepual Problems Wha is he aerage elociy oer he round rip of an objec ha is launched sraigh up from he ground and falls sraigh back down o he ground? Deermine he Concep

### Chapter 2 Problems. 3600s = 25m / s d = s t = 25m / s 0.5s = 12.5m. Δx = x(4) x(0) =12m 0m =12m

Chaper 2 Problems 2.1 During a hard sneeze, your eyes migh shu for 0.5s. If you are driving a car a 90km/h during such a sneeze, how far does he car move during ha ime s = 90km 1000m h 1km 1h 3600s = 25m

### ( ) in the following way. ( ) < 2

Sraigh Line Moion - Classwork Consider an obbec moving along a sraigh line eiher horizonally or verically. There are many such obbecs naural and man-made. Wrie down several of hem. Horizonal cars waer

### Chapter 2 Motion in One Dimension

Chaper Moion in One Dimension Concepual Problems 5 Sand in he cener of a large room. Call he direcion o your righ posiie, and he direcion o your lef negaie. Walk across he room along a sraigh line, using

### Newton's second law in action

Newon's second law in acion In many cases, he naure of he force acing on a body is known I migh depend on ime, posiion, velociy, or some combinaion of hese, bu is dependence is known from experimen In

### Physic 231 Lecture 6. Main points of today s lecture: Trajectories of objects in 2 dimensions:

Main poins of oda s lecure: Trajecories of objecs in dimensions: Relaie Veloci Phsic 31 Lecure 6 Main poins of las lecure: Two dimension coordinae ssems Vecors and componens Trajecories of objecs in dimensions:

### Imagine a Source (S) of sound waves that emits waves having frequency f and therefore

heoreical Noes: he oppler Eec wih ound Imagine a ource () o sound waes ha emis waes haing requency and hereore period as measured in he res rame o he ource (). his means ha any eecor () ha is no moing

### Chapter 3. Motion in Two or Three Dimensions

Chaper 3 Moion in Two or Three Dimensions 1 Ouline 1. Posiion, eloci, acceleraion. Moion in a plane (Se of equaions) 3. Projecile Moion (Range, Heigh, Veloci, Trajecor) 4. Circular Moion (Polar coordinaes,

### Relative velocity in one dimension

Connexions module: m13618 1 Relaive velociy in one dimension Sunil Kumar Singh This work is produced by The Connexions Projec and licensed under he Creaive Commons Aribuion License Absrac All quaniies

### Application of kinematic equation:

HELP: See me (office hours). There will be a HW help session on Monda nigh from 7-8 in Nicholson 109. Tuoring a #10 of Nicholson Hall. Applicaion of kinemaic equaion: a = cons. v= v0 + a = + v + 0 0 a

### Acceleration Lab Teacher s Guide

Acceleraion Lab Teacher s Guide Objecives:. Use graphs of disance vs. ime and velociy vs. ime o find acceleraion of a oy car.. Observe he relaionship beween he angle of an inclined plane and he acceleraion

### chapter Describing Motion chapter outline chapter overview unit one

Describing Moion chaper 2 chaper oeriew The main purpose of his chaper is o proide clear definiions and illusraions of he erms used in physics o describe moion, such as he moion of he car described in

### AP1 Kinematics (A) (C) (B) (D) Answer: C

1. A ball is hrown verically upward from he ground. Which pair of graphs bes describes he moion of he ball as a funcion of ime while i is in he air? Neglec air resisance. y a v a (A) (C) y a v a (B) (D)

### Section A: Forces and Motion

I is very useful o be able o make predicions abou he way moving objecs behave. In his chaper you will learn abou some equaions of moion ha can be used o calculae he speed and acceleraion of objecs, and

### 4kq 2. D) south A) F B) 2F C) 4F D) 8F E) 16F

efore you begin: Use black pencil. Wrie and bubble your SU ID Number a boom lef. Fill bubbles fully and erase cleanly if you wish o change! 20 Quesions, each quesion is 10 poins. Each quesion has a mos

### Week #9 - The Integral Section 5.1

Week #9 - The Inegral Secion 5.1 From Calculus, Single Variable by Hughes-Halle, Gleason, McCallum e. al. Copyrigh 005 by John Wiley & Sons, Inc. This maerial is used by permission of John Wiley & Sons,

### AP Physics Velocity and Linear Acceleration Unit 1 Problems:

Uni 1 Problems: Linear Velociy and Acceleraion This enire se of problems is due he day of he es. I will no accep hese for a lae grade. * = Problems we do ogeher; all oher problems are homework (bu we will

### Motion Along a Straight Line

Moion Along a Sraigh Line On Sepember 6, 993, Dave Munday, a diesel mechanic by rade, wen over he Canadian edge of Niagara Falls for he second ime, freely falling 48 m o he waer (and rocks) below. On his

### Rotational Inertia of a Point Mass

Roaional Ineria of a Poin Mass Saddleback College Physics Deparmen, adaped from PASCO Scienific PURPOSE The purpose of his experimen is o find he roaional ineria of a poin experimenally and o verify ha

### Chapter 7. Response of First-Order RL and RC Circuits

Chaper 7. esponse of Firs-Order L and C Circuis 7.1. The Naural esponse of an L Circui 7.2. The Naural esponse of an C Circui 7.3. The ep esponse of L and C Circuis 7.4. A General oluion for ep and Naural

### LAB 6: SIMPLE HARMONIC MOTION

1 Name Dae Day/Time of Lab Parner(s) Lab TA Objecives LAB 6: SIMPLE HARMONIC MOTION To undersand oscillaion in relaion o equilibrium of conservaive forces To manipulae he independen variables of oscillaion:

### RC (Resistor-Capacitor) Circuits. AP Physics C

(Resisor-Capacior Circuis AP Physics C Circui Iniial Condiions An circui is one where you have a capacior and resisor in he same circui. Suppose we have he following circui: Iniially, he capacior is UNCHARGED

### m m m m m correct

Version 055 Miderm 1 OConnor (05141) 1 This prin-ou should have 36 quesions. Muliple-choice quesions ma coninue on he ne column or pae find all choices before answerin. V1:1, V:1, V3:3, V4:, V5:1. 001

### Name: Algebra II Review for Quiz #13 Exponential and Logarithmic Functions including Modeling

Name: Algebra II Review for Quiz #13 Exponenial and Logarihmic Funcions including Modeling TOPICS: -Solving Exponenial Equaions (The Mehod of Common Bases) -Solving Exponenial Equaions (Using Logarihms)

### Newton s Laws of Motion

Newon s Laws of Moion MS4414 Theoreical Mechanics Firs Law velociy. In he absence of exernal forces, a body moves in a sraigh line wih consan F = 0 = v = cons. Khan Academy Newon I. Second Law body. The

### Random Walk in 1-D. 3 possible paths x vs n. -5 For our random walk, we assume the probabilities p,q do not depend on time (n) - stationary

Random Walk in -D Random walks appear in many cones: diffusion is a random walk process undersanding buffering, waiing imes, queuing more generally he heory of sochasic processes gambling choosing he bes

### Appendix A: Area. 1 Find the radius of a circle that has circumference 12 inches.

Appendi A: Area worked-ou s o Odd-Numbered Eercises Do no read hese worked-ou s before aemping o do he eercises ourself. Oherwise ou ma mimic he echniques shown here wihou undersanding he ideas. Bes wa

### Name: Teacher: DO NOT OPEN THE EXAMINATION PAPER UNTIL YOU ARE TOLD BY THE SUPERVISOR TO BEGIN PHYSICS 2204 FINAL EXAMINATION. June 2009.

Name: Teacher: DO NOT OPEN THE EXMINTION PPER UNTIL YOU RE TOLD BY THE SUPERVISOR TO BEGIN PHYSICS 2204 FINL EXMINTION June 2009 Value: 100% General Insrucions This examinaion consiss of wo pars. Boh pars

### EXERCISES AND PROBLEMS

Exercises and Problems 71 EXERCISES AND PROBLEMS The icon in fron of a problem indicaes ha he problem can be done on a Dnamics Workshee. Dnamics Workshees are found a he back of he Suden Workbook. If ou

### AP Calculus BC 2010 Scoring Guidelines

AP Calculus BC Scoring Guidelines The College Board The College Board is a no-for-profi membership associaion whose mission is o connec sudens o college success and opporuniy. Founded in, he College Board

### Discussion Examples Chapter 10: Rotational Kinematics and Energy

Discussion Examples Chaper : Roaional Kinemaics and Energy 9. The Crab Nebula One o he mos sudied objecs in he nigh sky is he Crab nebula, he remains o a supernova explosion observed by he Chinese in 54.

### A Curriculum Module for AP Calculus BC Curriculum Module

Vecors: A Curriculum Module for AP Calculus BC 00 Curriculum Module The College Board The College Board is a no-for-profi membership associaion whose mission is o connec sudens o college success and opporuniy.

### Section 7.1 Angles and Their Measure

Secion 7.1 Angles and Their Measure Greek Leers Commonly Used in Trigonomery Quadran II Quadran III Quadran I Quadran IV α = alpha β = bea θ = hea δ = dela ω = omega γ = gamma DEGREES The angle formed

### PROFIT TEST MODELLING IN LIFE ASSURANCE USING SPREADSHEETS PART TWO

Profi Tes Modelling in Life Assurance Using Spreadshees, par wo PROFIT TEST MODELLING IN LIFE ASSURANCE USING SPREADSHEETS PART TWO Erik Alm Peer Millingon Profi Tes Modelling in Life Assurance Using Spreadshees,

### When one talks about a 'projectile', the implicabion is itrai we give an object

LAB, PROJECTLE MOruO.^\ 45 Lab Projecile Moion 1 nroducion n his lab we will look a he moion of a projecile in wo dimensions. When one alks abou a 'projecile', he implicabion is irai we give an objec an

### 2. Waves in Elastic Media, Mechanical Waves

2. Waves in Elasic Media, Mechanical Waves Wave moion appears in almos ever branch of phsics. We confine our aenion o waves in deformable or elasic media. These waves, for eample ordinar sound waves in

### 4.8 Exponential Growth and Decay; Newton s Law; Logistic Growth and Decay

324 CHAPTER 4 Exponenial and Logarihmic Funcions 4.8 Exponenial Growh and Decay; Newon s Law; Logisic Growh and Decay OBJECTIVES 1 Find Equaions of Populaions Tha Obey he Law of Uninhibied Growh 2 Find

### CHARGE AND DISCHARGE OF A CAPACITOR

REFERENCES RC Circuis: Elecrical Insrumens: Mos Inroducory Physics exs (e.g. A. Halliday and Resnick, Physics ; M. Sernheim and J. Kane, General Physics.) This Laboraory Manual: Commonly Used Insrumens:

### cooking trajectory boiling water B (t) microwave 0 2 4 6 8 101214161820 time t (mins)

Alligaor egg wih calculus We have a large alligaor egg jus ou of he fridge (1 ) which we need o hea o 9. Now here are wo accepable mehods for heaing alligaor eggs, one is o immerse hem in boiling waer

### CHAPTER FIVE. Solutions for Section 5.1

CHAPTER FIVE 5. SOLUTIONS 87 Soluions for Secion 5.. (a) The velociy is 3 miles/hour for he firs hours, 4 miles/hour for he ne / hour, and miles/hour for he las 4 hours. The enire rip lass + / + 4 = 6.5

### Motion in one dimension (1D) [ Chapter 2 in Wolfson ]

1D - 1 Min in ne dimensin (1D) [ Chaper in Wlfsn ] In his chaper, we sudy speed, elciy, and accelerain fr min in ne-dimensin. One dimensinal min is min alng a sraigh line, like he min f a glider n an airrack.

### Chabot College Physics Lab RC Circuits Scott Hildreth

Chabo College Physics Lab Circuis Sco Hildreh Goals: Coninue o advance your undersanding of circuis, measuring resisances, currens, and volages across muliple componens. Exend your skills in making breadboard

### Signal Rectification

9/3/25 Signal Recificaion.doc / Signal Recificaion n imporan applicaion of juncion diodes is signal recificaion. here are wo ypes of signal recifiers, half-wae and fullwae. Le s firs consider he ideal

### Representing Periodic Functions by Fourier Series. (a n cos nt + b n sin nt) n=1

Represening Periodic Funcions by Fourier Series 3. Inroducion In his Secion we show how a periodic funcion can be expressed as a series of sines and cosines. We begin by obaining some sandard inegrals

### RC, RL and RLC circuits

Name Dae Time o Complee h m Parner Course/ Secion / Grade RC, RL and RLC circuis Inroducion In his experimen we will invesigae he behavior of circuis conaining combinaions of resisors, capaciors, and inducors.

### 11/6/2013. Chapter 14: Dynamic AD-AS. Introduction. Introduction. Keeping track of time. The model s elements

Inroducion Chaper 14: Dynamic D-S dynamic model of aggregae and aggregae supply gives us more insigh ino how he economy works in he shor run. I is a simplified version of a DSGE model, used in cuing-edge

### Lecture 2: Telegrapher Equations For Transmission Lines. Power Flow.

Whies, EE 481 Lecure 2 Page 1 of 13 Lecure 2: Telegraher Equaions For Transmission Lines. Power Flow. Microsri is one mehod for making elecrical connecions in a microwae circui. I is consruced wih a ground

Chaper 8 Copyrigh 1997-2004 Henning Umland All Righs Reserved Rise, Se, Twiligh General Visibiliy For he planning of observaions, i is useful o know he imes during which a cerain body is above he horizon

### Full-wave rectification, bulk capacitor calculations Chris Basso January 2009

ull-wave recificaion, bulk capacior calculaions Chris Basso January 9 This shor paper shows how o calculae he bulk capacior value based on ripple specificaions and evaluae he rms curren ha crosses i. oal

### Answer: 1) Force 2) Velocity and 6) Acceleration are vectors. All other quantities do not have direction and they are scalars.

H3 ecrs and prjecile min Prblem : Answer he fllwin quesin cncernin ecrs. Par (a) Frm he ien lis chse all ha are eamples f ecrs. ) Frce. ) Speed. 3) elci. 4) Mass. 5) lume. 6) Accelerain. 7) Temperaure.

### Two Compartment Body Model and V d Terms by Jeff Stark

Two Comparmen Body Model and V d Terms by Jeff Sark In a one-comparmen model, we make wo imporan assumpions: (1) Linear pharmacokineics - By his, we mean ha eliminaion is firs order and ha pharmacokineic

### RC Circuit and Time Constant

ircui and Time onsan 8M Objec: Apparaus: To invesigae he volages across he resisor and capacior in a resisor-capacior circui ( circui) as he capacior charges and discharges. We also wish o deermine he

### The Transport Equation

The Transpor Equaion Consider a fluid, flowing wih velociy, V, in a hin sraigh ube whose cross secion will be denoed by A. Suppose he fluid conains a conaminan whose concenraion a posiion a ime will be

### Section 2.3 Linear and Angular Velocities

Secion 2.3 Linear and Angular Velociies The mos inuiive measure of he rae a which he rider is raveling around he wheel is wha we call linear velociy. Anoher way o specify how fas he rider is raveling around

### AP Calculus AB 2013 Scoring Guidelines

AP Calculus AB 1 Scoring Guidelines The College Board The College Board is a mission-driven no-for-profi organizaion ha connecs sudens o college success and opporuniy. Founded in 19, he College Board was

### State Machines: Brief Introduction to Sequencers Prof. Andrew J. Mason, Michigan State University

Inroducion ae Machines: Brief Inroducion o equencers Prof. Andrew J. Mason, Michigan ae Universiy A sae machine models behavior defined by a finie number of saes (unique configuraions), ransiions beween

### Chapter - 3. (Motion in a straight line) 2. What is rectilinear motion? The motion of an object along a straight line is known as rectilinear motion

Chapter - 3. (Motion in a straight line) ne mark questions. When is an object said to be in motion? n object is said to be in motion if its position changes with time. What is rectilinear motion? The motion

### 4.2 Trigonometric Functions; The Unit Circle

4. Trigonomeric Funcions; The Uni Circle Secion 4. Noes Page A uni circle is a circle cenered a he origin wih a radius of. Is equaion is as shown in he drawing below. Here he leer represens an angle measure.

### Graphing the Von Bertalanffy Growth Equation

file: d:\b173-2013\von_beralanffy.wpd dae: Sepember 23, 2013 Inroducion Graphing he Von Beralanffy Growh Equaion Previously, we calculaed regressions of TL on SL for fish size daa and ploed he daa and

### 9. Capacitor and Resistor Circuits

ElecronicsLab9.nb 1 9. Capacior and Resisor Circuis Inroducion hus far we have consider resisors in various combinaions wih a power supply or baery which provide a consan volage source or direc curren

### DIFFERENTIAL EQUATIONS with TI-89 ABDUL HASSEN and JAY SCHIFFMAN. A. Direction Fields and Graphs of Differential Equations

DIFFERENTIAL EQUATIONS wih TI-89 ABDUL HASSEN and JAY SCHIFFMAN We will assume ha he reader is familiar wih he calculaor s keyboard and he basic operaions. In paricular we have assumed ha he reader knows

### MA261-A Calculus III 2006 Fall Homework 4 Solutions Due 9/29/2006 8:00AM

MA6-A Calculus III 006 Fall Homework 4 Soluions Due 9/9/006 00AM 97 #4 Describe in words he surface 3 A half-lane in he osiive x and y erriory (See Figure in Page 67) 97 # Idenify he surface cos We see

### Mr. Kepple. Motion at Constant Acceleration 1D Kinematics HW#5. Name: Date: Period: (b) Distance traveled. (a) Acceleration.

Moion Consn Accelerion 1D Kinemics HW#5 Mr. Kepple Nme: De: Period: 1. A cr cceleres from 1 m/s o 1 m/s in 6.0 s. () Wh ws is ccelerion? (b) How fr did i rel in his ime? Assume consn ccelerion. () Accelerion

### HANDOUT 14. A.) Introduction: Many actions in life are reversible. * Examples: Simple One: a closed door can be opened and an open door can be closed.

Inverse Funcions Reference Angles Inverse Trig Problems Trig Indeniies HANDOUT 4 INVERSE FUNCTIONS KEY POINTS A.) Inroducion: Many acions in life are reversible. * Examples: Simple One: a closed door can

### and Decay Functions f (t) = C(1± r) t / K, for t 0, where

MATH 116 Exponenial Growh and Decay Funcions Dr. Neal, Fall 2008 A funcion ha grows or decays exponenially has he form f () = C(1± r) / K, for 0, where C is he iniial amoun a ime 0: f (0) = C r is he rae

### Inductance and Transient Circuits

Chaper H Inducance and Transien Circuis Blinn College - Physics 2426 - Terry Honan As a consequence of Faraday's law a changing curren hrough one coil induces an EMF in anoher coil; his is known as muual

### 1 A B C D E F G H I J K L M N O P Q R S { U V W X Y Z 1 A B C D E F G H I J K L M N O P Q R S { U V W X Y Z

o ffix uden abel ere uden ame chool ame isric ame/ ender emale ale onh ay ear ae of irh an eb ar pr ay un ul ug ep c ov ec as ame irs ame lace he uden abel ere ae uden denifier chool se nly rined in he

### Chapter 15: Superposition and Interference of Waves

Chaper 5: Superposiion and Inerference of Waves Real waves are rarely purely sinusoidal (harmonic, bu hey can be represened by superposiions of harmonic waves In his chaper we explore wha happens when

### Revisions to Nonfarm Payroll Employment: 1964 to 2011

Revisions o Nonfarm Payroll Employmen: 1964 o 2011 Tom Sark December 2011 Summary Over recen monhs, he Bureau of Labor Saisics (BLS) has revised upward is iniial esimaes of he monhly change in nonfarm

### Chapter 11A Angular Motion. A PowerPoint Presentation by Paul E. Tippens, Professor of Physics Southern Polytechnic State University

Chaper 11A Angular Moion A PowerPoin Presenaion by Paul E. Tippens, Proessor o Physics Souhern Polyechnic Sae Universiy 007 WIND TUBINES such as hese can generae signiican energy in a way ha is environmenally

### Chapter 8: Regression with Lagged Explanatory Variables

Chaper 8: Regression wih Lagged Explanaory Variables Time series daa: Y for =1,..,T End goal: Regression model relaing a dependen variable o explanaory variables. Wih ime series new issues arise: 1. One

### WHAT ARE OPTION CONTRACTS?

WHAT ARE OTION CONTRACTS? By rof. Ashok anekar An oion conrac is a derivaive which gives he righ o he holder of he conrac o do 'Somehing' bu wihou he obligaion o do ha 'Somehing'. The 'Somehing' can be

### INVESTIGATION OF THE INFLUENCE OF UNEMPLOYMENT ON ECONOMIC INDICATORS

INVESTIGATION OF THE INFLUENCE OF UNEMPLOYMENT ON ECONOMIC INDICATORS Ilona Tregub, Olga Filina, Irina Kondakova Financial Universiy under he Governmen of he Russian Federaion 1. Phillips curve In economics,

### Permutations and Combinations

Permuaions and Combinaions Combinaorics Copyrigh Sandards 006, Tes - ANSWERS Barry Mabillard. 0 www.mah0s.com 1. Deermine he middle erm in he expansion of ( a b) To ge he k-value for he middle erm, divide

### The Torsion of Thin, Open Sections

EM 424: Torsion of hin secions 26 The Torsion of Thin, Open Secions The resuls we obained for he orsion of a hin recangle can also be used be used, wih some qualificaions, for oher hin open secions such

### EDEXCEL NATIONAL CERTIFICATE/DIPLOMA UNIT 67 - FURTHER ELECTRICAL PRINCIPLES NQF LEVEL 3 OUTCOME 2 TUTORIAL 1 - TRANSIENTS

EDEXEL NAIONAL ERIFIAE/DIPLOMA UNI 67 - FURHER ELERIAL PRINIPLE NQF LEEL 3 OUOME 2 UORIAL 1 - RANIEN Uni conen 2 Undersand he ransien behaviour of resisor-capacior (R) and resisor-inducor (RL) D circuis

### Chapter 6. First Order PDEs. 6.1 Characteristics The Simplest Case. u(x,t) t=1 t=2. t=0. Suppose u(x, t) satisfies the PDE.

Chaper 6 Firs Order PDEs 6.1 Characerisics 6.1.1 The Simples Case Suppose u(, ) saisfies he PDE where b, c are consan. au + bu = 0 If a = 0, he PDE is rivial (i says ha u = 0 and so u = f(). If a = 0,

### A ball rolls up and down an incline A ball tossed up which comes down along the same path

Lecure 4 Moion nd Kinemics Reiew Turning Poins Inerpreing Moion Grphs Ls ime we lef off lking bou ccelerion nd urning poins. Recll ccelerion is wh chnges n iniil elociy o finl elociy. A chnge in elociy

### 1 A B C D E F G H I J K L M N O P Q R S { U V W X Y Z 1 A B C D E F G H I J K L M N O P Q R S { U V W X Y Z

o ffix uden abel ere uden ame chool ame isric ame/ ender emale ale onh ay ear ae of irh an eb ar pr ay un ul ug ep c ov ec as ame irs ame lace he uden abel ere ae uden denifier chool se nly rined in he

### Physics 111 Fall 2007 Electric Currents and DC Circuits

Physics 111 Fall 007 Elecric Currens and DC Circuis 1 Wha is he average curren when all he sodium channels on a 100 µm pach of muscle membrane open ogeher for 1 ms? Assume a densiy of 0 sodium channels

### YTM is positively related to default risk. YTM is positively related to liquidity risk. YTM is negatively related to special tax treatment.

. Two quesions for oday. A. Why do bonds wih he same ime o mauriy have differen YTM s? B. Why do bonds wih differen imes o mauriy have differen YTM s? 2. To answer he firs quesion les look a he risk srucure

### Module 4. Single-phase AC circuits. Version 2 EE IIT, Kharagpur

Module 4 Single-phase A circuis ersion EE T, Kharagpur esson 5 Soluion of urren in A Series and Parallel ircuis ersion EE T, Kharagpur n he las lesson, wo poins were described:. How o solve for he impedance,

### 5.5 Modeling Harmonic Motion

44 CHAPTER 5 Trigonomeric Funcions of Real Numbers 77(b)Skech a graph of he funcion d for. (c) Wha happens o he disance d as approaches? (c) From he graph deermine he values of a which he lengh of he shadow

### 11. Tire pressure. Here we always work with relative pressure. That s what everybody always does.

11. Tire pressure. The graph You have a hole in your ire. You pump i up o P=400 kilopascals (kpa) and over he nex few hours i goes down ill he ire is quie fla. Draw wha you hink he graph of ire pressure

### Part 1: White Noise and Moving Average Models

Chaper 3: Forecasing From Time Series Models Par 1: Whie Noise and Moving Average Models Saionariy In his chaper, we sudy models for saionary ime series. A ime series is saionary if is underlying saisical

### Circuit Types. () i( t) ( )

Circui Types DC Circuis Idenifying feaures: o Consan inpus: he volages of independen volage sources and currens of independen curren sources are all consan. o The circui does no conain any swiches. All

### Capacitors and inductors

Capaciors and inducors We coninue wih our analysis of linear circuis by inroducing wo new passive and linear elemens: he capacior and he inducor. All he mehods developed so far for he analysis of linear

### Kinematics Review Checklist

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?

### A Probability Density Function for Google s stocks

A Probabiliy Densiy Funcion for Google s socks V.Dorobanu Physics Deparmen, Poliehnica Universiy of Timisoara, Romania Absrac. I is an approach o inroduce he Fokker Planck equaion as an ineresing naural

### THE EQUATIONS OF THE IDEAL LATCHES

THE EUATIONS OF THE IDEAL LATHES SERBAN E. VLAD Oradea iy Hall, iaa Unirii Nr., 4000, Oradea, Romania www.geociies.com/serban_e_lad, serban_e_lad@yahoo.com ABSTRAT We presen he eqaions ha model seeral

### Chapter 7: Estimating the Variance of an Estimate s Probability Distribution

Chaper 7: Esimaing he Variance of an Esimae s Probabiliy Disribuion Chaper 7 Ouline Review o Clin s Assignmen o General Properies of he Ordinary Leas Squares (OLS) Esimaion Procedure o Imporance of he

### Markov Models and Hidden Markov Models (HMMs)

Markov Models and Hidden Markov Models (HMMs (Following slides are modified from Prof. Claire Cardie s slides and Prof. Raymond Mooney s slides. Some of he graphs are aken from he exbook. Markov Model