1. The graph below shows the variation with time t of the acceleration a of an object from t = 0 to t = T. a
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1 Kinemaics Paper 1 1. The graph below shows he ariaion wih ime of he acceleraion a of an objec from = o = T. a T The shaded area under he graph represens change in A. displacemen. B. elociy. C. momenum. D. kineic energy. 2. The graph below shows he ariaion wih ime of he acceleraion a of a body moing in a sraigh-line. a 1 2 The shaded area represens A. he change in elociy from 1 o 2. B. he elociy a 2. C. he aerage elociy beween 1 and 2. D. he elociy a 1. 1
2 3. The diagram below shows he ariaion wih ime of he elociy of an objec. The area beween he line of he graph and he ime-axis represens A. he aerage elociy of he objec. B. he displacemen of he objec. C. he impulse acing on he objec. D. he work done on he objec. 4. The graph below shows he ariaion wih ime of he acceleraion a of a spaceship. a T The spaceship is a res a =. The shaded area represens A. he disance raelled by he spaceship beween = and = T. B. he speed of he spaceship a = T. C. he rae a which he speed of he spaceship changes beween = and = T. D. he rae a which he acceleraion changes beween = and = T. 2
3 5. The graph below shows he ariaion wih ime of he acceleraion a of a spaceship. a T The spaceship is a res a =. The shaded area represens A. he disance raelled by he spaceship beween = and = T. B. he speed of he spaceship a = T. C. he rae a which he speed of he spaceship changes beween = and = T. D. he rae a which he acceleraion changes beween = and = T. 6. A seel sphere is dropped from res in oil. Which of he following graphs bes represens he ariaion wih ime of he speed of he sphere? A. speed B. speed ime ime C. speed D. speed ime ime 3
4 7. The diagram below shows he ariaion wih ime of he elociy of an objec. Which one of he following graphs shows he ariaion wih ime of he acceleraion a of he objec? A. a B. a C. a D. a 4
5 8. A ball is dropped from res a ime = on o a horizonal surface from which i rebounds. Which one of he following graphs bes shows he ariaion of speed of he ball wih ime from he ime = o he ime ha he ball leaes he surface? A. B. C. D. 5
6 9. A car acceleraes uniformly from res. I hen coninues a consan speed before he brakes are applied, bringing he car o res. Which of he following graphs bes shows he ariaion wih ime of he acceleraion a of he car? A. a B. a C. a D. a 6
7 1. A ball is held a res in air. The ball is hen released. Which one of he following graphs bes shows he ariaion wih ime of he disance d fallen by he ball? A. d B. d C. d D. d 7
8 11. The graph shows he ariaion wih ime of he elociy of an objec. Which one of he following graphs bes represens he ariaion wih ime of he acceleraion a of he objec? A. a B. a C. a D. a (1) 8
9 12. An archer shoos an arrow a an angle o he horizonal. Air resisance is negligible. Which of he following graphs bes represens he ariaion wih ime of he horizonal componen of he arrow s elociy from he ime i is launched o he ime jus before i his he ground? A. elociy B. elociy ime ime C. elociy D. elociy ime ime 13. The graph below shows he ariaion wih ime of he displacemen s of a car. In which ime ineral is he speed greaes? s A B C D 9
10 14. The graph shows he ariaion wih ime of he elociy of an objec moing along a sraigh line. Which graph shows he ariaion wih ime of he acceleraion a of he objec? A. a B. a a C. D. a 1
11 15. A ball is hrown erically upwards a ime =. Air resisance is no negligible and he acceleraion of free fall is g. The ball reaches a maximum heigh a ime = T and hen descends, reaching a erminal speed. Which graph bes shows he ariaion wih ime of he acceleraion a of he ball? A. a +g B. a +g T T g g C. a +g D. a +g T T g g 11
12 16. An objec is dropped from res from a poin seeral hundred meres aboe he surface of he Earh a ime =. The objec srikes he ground a = T and air resisance is no negligible. Which of he following skech graphs bes shows he ariaion wih ime, of he speed of he objec? A. B. T T C. D. T T 12
13 17. The graph below shows he ariaion wih ime of he elociy of an objec moing on a sraigh-line. Which of he graphs below bes represens he ariaion wih ime of he acceleraion a of he objec? 13
14 18. A projecile is fired from he ground a ime =. I lands back on he ground a ime = T. Which of he following skech graphs bes shows he ariaion wih ime of he erical speed V V and horizonal speed V H of he projecile? Air resisance is negligible. speed A. B. V H speed V H V V V V T C. D. T speed speed V H V V V H V V T T 14
15 19. The graph below shows how a quaniy y aries wih ime for a falling objec. y Which one of he following quaniies could be represened by y? A. Speed when air resisance is negligible B. Speed when air resisance is no negligible C. Disance moed from res when air resisance is negligible D. Disance moed from res when air resisance is no negligible 2. A boy hrows a small sone a an angle o he horizonal. Which one of he following skeches bes shows he pah of he sone as i rises and hen falls back o Earh? Air resisance is negligible and he acceleraion of free fall is consan. A. B. C. D. 15
16 21. A sone is hrown from O a an angle o he horizonal. Which skech below bes shows he pah of he sone when air resisance is no negleced? On each skech, he broken line shows he pah for he same sone in a acuum. A. B. O O C. D. O O 22. The diagram below shows he pah of a projecile in he absence of air resisance. Verical posiion Horizonal posiion Which one of he following diagrams bes represens he pah of he projecile under he same iniial condiions when he air resisance is aken ino accoun? (The pah in absence of air resisance is shown for comparison as a doed line.) A. Verical B. posiion Verical posiion Horizonal posiion Horizonal posiion C. Verical D. posiion Verical posiion Horizonal posiion Horizonal posiion 16
17 23. A ball is hrown horizonally from he op of a cliff. Air resisance is negligible. Which of he following diagrams bes represens he subsequen pah of he ball? A. B. C. D. 17
18 24. Two forces P and Q ac a a poin X. The indiidual forces are represened in magniude and direcion in he diagram below. Which of he following diagrams bes shows he alue of S, where S = (P Q)? A. B. P Q P S S Q C. D. S S Q Q P P 18
19 25. A sailing boa is moing wih consan elociy o he righ parallel o he dock. Sailor Hulo, up on he mas, drops his elescope a he momen he is opposie Lucie who is sanding on he dock. Which one of he following bes shows he pah of he falling elescope as seen by Lucie? A. B. C. D. 19
20 26. A car is heading due Eas a a speed of 1 m s 1. A bird is flying due Norh a a speed of 4 m s 1, as shown below. N 4 m s 1 W S E Car 1 m s 1 Bird Which one of he following ecors represens he elociy of he bird relaie o a person in he car? A. B. C. D. (1) 27. A paricle is projeced horizonally wih speed from a heigh H. I lands a horizonal disance R from he poin of launch as shown in he diagram below. H R A second paricle is projeced horizonally from he same heigh wih speed 2. Neglecing air resisance he horizonal disance raelled by his paricle is A. R. B. 2R. C. 2R. D. 4R. 2
21 28. The graph shows he ariaion wih ime of he acceleraion a of an objec a / ms / s The objec is a res a ime =. Which of he following is he elociy of he objec a ime = 6. s? A..5 m s 1. B. 2. m s 1. C. 36 m s 1. D. 72 m s 1. 21
22 29. Peer and Susan boh sand on he edge of a erical cliff. V (Peer) V (Susan) Sea Susan hrows a sone erically downwards and, a he same ime, Peer hrows a sone erically upwards. The speed V wih which boh sones are hrown is he same. Neglecing air resisance, which one of he following saemens is rue? A. The sone hrown by Susan will hi he sea wih a greaer speed han he sone hrown by Peer. B. Boh sones will hi he sea wih he same speed no maer wha he heigh of he cliff. C. In order o deermine which sone his he sea firs, he heigh of he cliff mus be known. D. In order o deermine which sone his he sea firs boh he heigh of he cliff and he mass of each sone mus be known. 22
23 3. A sone is hrown a an angle o he horizonal. Ignoring air resisance, he horizonal componen of he iniial elociy of he sone deermines he alue of A. range only. B. maximum heigh only. C. range and maximum heigh. D. range and ime of fligh. 31. A sone X is hrown erically upwards wih speed from he op of a building. A he same ime, a second sone Y is hrown erically downwards wih he same speed as shown. X Y Building Air resisance is negligible. Which one of he following saemens is rue abou he speeds wih which he sones hi he ground a he base of he building? A. The speed of sone X is greaer han ha of sone Y. B. The speed of sone Y is greaer han ha of sone X. C. The speed of sone X is equal o ha of sone Y. D. Any saemen abou he speeds depends on he heigh of he building. 23
24 32. A ball is released from res near he surface of he Moon. Which one of he following quaniies increases a a consan rae? A. Only disance fallen B. Only speed C. Only speed and disance fallen D. Only speed and acceleraion 33. The minue hand of a clock hung on a erical wall has lengh L. P L The minue hand is obsered a he ime shown aboe and hen again, 3 minues laer. Wha is he displacemen of, and he disance moed by, he end P of he minue hand during his ime ineral? displacemen disance moed A. 2L erically downwards πl B. 2L erically upwards πl C. 2L erically downwards 2L D. 2L erically upwards 2L 24
25 34. Which one of he following is a correc definiion of displacemen? A. Disance from a fixed poin B. Disance moed from a fixed poin C. Disance from a fixed poin in a gien direcion D. Disance moed in a gien direcion 35. A paricle moes from a poin P o a poin Q in a ime T. Which one of he following correcly defines boh he aerage elociy and aerage acceleraion of he paricle? A. B. C. D. Aerage elociy displacemen of Q and P T displacemen of Q and P T disance beween Q and P T disance beween Q and P T Aerage acceleraion change in speed from Q o P T change in elociy from Q o P T change in speed from Q o P T change in elociy from Q o P T 36. Two sones, X and Y, of differen mass are dropped from he op of a cliff. Sone Y is dropped a shor ime afer sone X. Air resisance is negligible. Whils he sones are falling, he disance beween hem will A. decrease if he mass of Y is greaer han he mass of X. B. increase if he mass of X is greaer han he mass of Y. C. decrease wheher he mass of X is greaer or less han he mass of Y. D. increase wheher he mass of X is greaer or less han he mass of Y. 25
26 37. Poins P and Q are a disances R and 2R respeciely from he cenre X of a disc, as shown below. Q P R X 2R The disc is roaing abou an axis hrough X, normal o he plane of he disc. Poin P has linear speed and cenripeal acceleraion a. Which one of he following is correc for poin Q? Linear speed Cenripeal acceleraion A. a B. 2a C. 2 2a D. 2 4a 26
27 38. A sone is hrown wih speed from he op of a cliff of heigh H, as shown below. h cliff H The sone is hrown a an angle o he horizonal so ha i rises o a heigh h aboe he op of he cliff before falling ino he sea. The acceleraion of free fall is g. Air resisance is negligible. Which one of he following expressions gies correcly he speed of he sone as i his he sea? A. + ( 2gh) B. + ( 2gH ) C. ( 2 g { h + H} ) D. ( 2gH ) 2 + sea 27
28 39. A sone is hrown from he op of a cliff wih speed a an angle θ aboe he horizonal, as shown. cliff Air resisance is negligible and he acceleraion of free fall is g. Wha is he horizonal elociy of he sone a ime afer he sone has been hrown? A. sinθ B. sinθ g C. cosθ D. cosθ g 28
29 4. The diagram below shows he rajecory of a ball hrown ino he air. There is no air resisance. rajecory of ball A X B D C Which arrow gies he direcion of he resulan force on he ball a he poin X? A. A B. B C. C D. D 29
30 41. A body saring from res moes along a sraigh-line under he acion of a consan force. Afer raelling a disance d he speed of he body is. iniial posiion d The speed of he body when i has raelled a disance 2 d from is iniial posiion is A.. 4 B.. 2 C.. 2 D
31 42. A ball rolls off a horizonal able wih elociy. I lands on he ground a ime T laer a a disance D from he foo of he able as shown in he diagram below. Air resisance is negligible. able D A second heaier ball rolls off he able wih elociy. Which one of he following is correc for he heaier ball? Time o land Disance from able A. T D B. T less han D C. less han T D D. less han T less han D 43. Which of he following is a correc definiion of aerage acceleraion? A. B. C. D. change in elociy ime aken elociy ime aken change in speed ime aken speed ime aken 31
32 44. Two idenical meal spheres X and Y are released a he same ime from he same heigh aboe he horizonal ground. Sphere X falls erically from res. Sphere Y is projeced horizonally as shown below. X Y ground Air resisance is negligible. Which of he following saemens is correc? A. Sphere X his he ground before sphere Y because i raels a shorer disance. B. Sphere Y his he ground before sphere X because is iniial elociy is greaer. C. The spheres hi he ground a he same ime because horizonal moion does no affec erical moion. D. The spheres hi he ground a he same ime because hey hae equal weighs. 45. An objec has iniial speed u and acceleraion a. Afer raelling a disance s, is final speed is. The quaniies u,, a and s are relaed by he expression 2 = u 2 + 2as. Which of he following includes he wo condiions necessary for he equaion o apply? A. a has consan direcion u and are in he same direcion B. a has consan direcion a, u and are in he same direcion C. a has consan magniude a has consan direcion D. a has consan magniude u and are in he same direcion 32
33 46. A small seel ball falls from res hrough a disance of 3 m. When calculaing he ime of fall, air resisance can be ignored because A. air is less dense han seel. B. air resisance increases wih he speed of he ball. C. he air is no moing. D. air resisance is much less han he weigh of he ball. 47. Two idenical meal spheres are held aboe he ground as shown. spheres (no o scale) ground The separaion beween hem is small compared o heir disance aboe he ground. When he spheres are released, he separaion of he spheres will A. remain consan. B. decrease coninuously. C. increase coninuously. D. increase iniially and hen remain consan. 33
34 48. A sone is projeced horizonally from he op of a cliff. Neglecing air resisance, which one of he following correcly describes wha happens o he horizonal componen of elociy and o he erical componen of elociy? Horizonal componen of elociy Verical componen of elociy A. Decreases Increases B. Decreases Consan C. Consan Consan D. Consan Increases 49. Which one of he following is a rue saemen concerning he erical componen of he elociy and he acceleraion of a projecile when i is a is maximum heigh? (The acceleraion of free fall is g.) Verical componen of elociy Acceleraion A. maximum zero B. maximum g C. zero zero D. zero g Answers 1. B 2. A 3. B 4. B 5. B 6. A 7. D 8. A 9. A 1. D 11. A 34
35 12. C 13. A 14. A 15. C 16. C 17. A 18. B 19. B 2. C 21. B 22. A 23. A 24. A 25. C 26. B 27. C 28. C 29. B 3. A 31. C 32. B 33. A 34. C 35. B 36. D 37. C 38. D 39. C 4. D 41. C 42. A 35
36 43. A 44. C 45. C 46. D 47. A 48. D 49. D 36
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