1. The graph shows the variation with time t of the velocity v of an object.
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1 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 a res, akes ime o fall hrough a verical disance h. If air resisance is ignored, he ime aken for he ball o fall from res hrough a verical disance 9h is A. 3. B. 5. C. 9. D. 1. 1
2 3. An ahlee runs round a circular rack a consan speed. Which one of he following graphs bes represens he variaion wih ime of he magniude d of he displacemen of he ahlee from he saring posiion during one lap of he rack? A. d B. d C. d D. d 4. 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 2
3 5. A ball is dropped from res a ime = on o a horizonal surface from which i rebounds. he graph shows he variaion of ime wih speed v of he ball. v A C B D Which one of he following bes represens he poin a which he ball jus loses conac wih he surface afer he firs bounce? A. A B. B C. C D. D 6. he diagram below shows he variaion wih ime of he velociy v of an objec. v 3
4 he area beween he line of he graph and he ime-axis represens A. he average velociy of he objec. B. he displacemen of he objec. C. he impulse acing on he objec. D. he work done on he objec. 7. he graph below shows he variaion wih ime of he disance moved by a car along a sraigh road. During which ime inerval does he car have is greaes acceleraion? disance moved A B C D ime 4
5 8. he minue hand of a clock hung on a verical wall has lengh L. P L he minue hand is observed a he ime shown above and hen again, 3 minues laer. Wha is he displacemen of, and he disance moved by, he end P of he minue hand during his ime inerval? displacemen disance moved A. 2L verically downwards πl B. 2L verically upwards πl C. 2L verically downwards 2L D. 2L verically upwards 2L 9. Which one of he following is a correc definiion of displacemen? A. Disance from a fixed poin B. Disance moved from a fixed poin C. Disance from a fixed poin in a given direcion D. Disance moved in a given direcion 5
6 1. he variaion wih ime of he speed v of a car moving along a sraigh road is shown below. v S S S Which area, S 1, S 2 or S 3, or combinaion of areas, represens he oal disance moved by he car during he ime ha is speed is reducing? A. S 1 B. S 3 C. S 1 + S 3 D. S 1 + S 2 + S 3 6
7 11. A ball is held a res in air. he ball is hen released. Which one of he following graphs bes shows he variaion wih ime of he disance d fallen by he ball? A. d B. d C. d D. d 7
8 12. 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 variaion wih ime of he acceleraion a of he car? A. a B. a C. a D. a 8
9 13. he graph below shows he variaion wih ime of he acceleraion a of a spaceship. a he spaceship is a res a =. he shaded area represens A. he disance ravelled by he spaceship beween = and =. B. he speed of he spaceship a =. C. he rae a which he speed of he spaceship changes beween = and =. D. he rae a which he acceleraion changes beween = and =. 14. A paricle moves from a poin P o a poin Q in a ime. Which one of he following correcly defines boh he average velociy and average acceleraion of he paricle? A. B. C. D. Average velociy displacemen of Q and P displacemen of Q and P disance beween Q and P disance beween Q and P Average acceleraion change in speed from Q o P change in velociy from Q o P change in speed from Q o P change in velociy from Q o P 9
10 15. wo 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. 16. An archer shoos an arrow a an angle o he horizonal. Air resisance is negligible. Which of he following graphs bes represens he variaion wih ime of he horizonal componen of he arrow s velociy from he ime i is launched o he ime jus before i his he ground? A. velociy B. velociy ime ime C. velociy D. velociy ime ime 1
11 17. A ball is hrown verically upwards from he ground. he graph shows he variaion wih ime of he verical displacemen d of he ball. d D Which one of he following gives he final displacemen afer ime and he average speed beween ime = and ime =? Displacemen Average speed A. B. 2D C. 2D 2D D. 2D 11
12 18. he graph below shows how a quaniy y varies 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 moved from res when air resisance is negligible D. Disance moved from res when air resisance is no negligible 12
13 19. A ball is hrown verically upwards a ime =. Air resisance is no negligible and he acceleraion of free fall is g. he ball reaches a maximum heigh a ime = and hen descends, reaching a erminal speed. Which graph bes shows he variaion wih ime of he acceleraion a of he ball? A. a +g B. a +g g g C. a +g D. a +g g g 13
14 2. A body saring from res moves along a sraigh-line under he acion of a consan force. Afer ravelling a disance d he speed of he body is v. iniial posiion v d he speed of he body when i has ravelled a disance d 2 from is iniial posiion is v A.. 4 v B.. 2 v C.. 2 v D
15 21. he graph shows he variaion wih ime of he acceleraion a of an objec a / ms / s he objec is a res a ime =. Which of he following is he velociy 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. 15
16 22. An objec is dropped from res from a poin several hundred meres above he surface of he Earh a ime =. he objec srikes he ground a = and air resisance is no negligible. Which of he following skech graphs bes shows he variaion wih ime, of he speed v of he objec? A. B. v v C. D. v v 16
17 23. Which of he following is a correc definiion of average acceleraion? A. B. C. D. changein velociy ime aken velociy ime aken change in speed ime aken speed ime aken 24. An objec has iniial speed u and acceleraion a. Afer ravelling a disance s, is final speed is v. he quaniies u, v, a and s are relaed by he expression v 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 v are in he same direcion B. a has consan direcion a, u and v are in he same direcion C. a has consan magniude a has consan direcion D. a has consan magniude u and v are in he same direcion 17
18 25. he graph below shows he variaion wih ime of he displacemen s of an objec moving along a sraigh-line. s / m / s he bes esimae of he insananeous speed of he objec a = 2. s is A.. ms 1. B..2 ms 1. C. 5. ms 1. D. 1. ms 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 moving. D. air resisance is much less han he weigh of he ball. 18
19 27. wo idenical meal spheres are held above he ground as shown. spheres (no o scale) ground he separaion beween hem is small compared o heir disance above 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. 28. An objec is falling, in air, owards he Earh s surface. Wha changes occur in he acceleraion and in he velociy of he objec as i approaches erminal velociy? acceleraion velociy A. decreases o zero increases coninuously B. decreases o zero increases o a consan value C. consan increases o a consan value D. consan increases coninuously 19
20 29. he graph below shows he variaion wih ime of he acceleraion a of an objec from = o =. a he shaded area under he graph represens change in A. displacemen. B. velociy. C. momenum. D. kineic energy. 3. his quesion is abou linear moion. A police car P is saionary by he side of a road. A car S, exceeding he speed limi, passes he police car P a a consan speed of 18 m s 1. he police car P ses off o cach car S jus as car S passes he police car P. Car P acceleraes a 4.5 m s 2 for a ime of 6. s and hen coninues a consan speed. Car P akes a ime seconds o draw level wih car S. (a) (i) Sae an expression, in erms of, for he disance car S ravels in seconds... (ii) Calculae he disance ravelled by he police car P during he firs 6. seconds of is moion
21 (iii) Calculae he speed of he police car P afer i has compleed is acceleraion..... (iv) Sae an expression, in erms of, for he disance ravelled by he police car P during he ime ha i is ravelling a consan speed... (b) Using your answers o (a), deermine he oal ime aken for he police car P o draw level wih car S (2) (oal 6 marks) 31. Linear moion (a) Define he erm acceleraion (2) 21
22 (b) An objec has an iniial speed u and an acceleraion a. Afer ime, is speed is v and i has moved hrough a disance s. he moion of he objec may be summarized by he equaions v = u + a, 1 s = ( v + u). (i) Sae he assumpion made in hese equaions abou he acceleraion a. 2 (ii) Derive, using hese equaions, an expression for v in erms of u, s and a. (2) 22
23 (c) he shuer speed of a camera is he ime ha he film is exposed o ligh. In order o deermine he shuer speed of a camera, a meal ball is held a res a he zero mark of a verical scale, as shown below. he ball is released. he shuer of a camera is opened as he ball falls. cm scale 196 cm camera 28 cm he phoograph of he ball shows ha he shuer opened as he ball reached he 196 cm mark on he scale and closed as i reached he 28 cm mark. Air resisance is negligible and he acceleraion of free fall is 9.81 m s 2. (i) Calculae he ime for he ball o fall from res o he 196 cm mark. (2) (ii) Deermine he ime for which he shuer was open. ha is, he ime for he ball o fall from he 196 cm mark o he 28 cm mark. (2) (oal 9 marks) 23
24 32. Moion of a ball A ball of mass.25 kg is projeced verically upwards from he ground wih an iniial velociy of 3 m s 1. he acceleraion of free fall is 1 m s 2, bu air resisance canno be negleced. he graph below shows he variaion wih ime of he velociy v of his ball for he upward par of he moion. v / ms /s (a) Sae wha he area under he graph represens
25 (b) Esimae he maximum heigh reached by he ball (c) Deermine, for he ball a = 1. s, (i) he acceleraion; (3) (ii) he magniude of he force of air resisance. (2) (d) Use he graph o explain, wihou any furher calculaions, ha he force of air resisance is decreasing in magniude as he ball moves upward (2) 25
26 (e) he diagram below is a skech graph of he upward moion of he ball. Draw a line o indicae he downward moion of he ball. he line should indicae he moion from he maximum heigh of he ball unil jus before i his he ground. v / ms / s (2) (f) Sae and explain, by reference o energy ransformaions, wheher he speed wih which he ball his he ground is equal o 3 m s (2) (g) Use your answer in (f) o sae and explain wheher he ball akes 2. s o move from is maximum heigh o he ground (2) (oal 15 marks) 26
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