EXERCISE # 1. A runner completes one round of a circular path of radius r in 40 seconds. His displacement after 2 minutes 20 seconds will be

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1 EXERCISE # Moion in one dimensions Q.. A runner complees one round of circulr ph of rdius r in 4 seconds. His displcemen fer minues seconds will be [] zero [] r r 7 r Q.. An old mn goes for morning wlk on semicirculr rck of rdius 4 m; if he srs from one end of he rck nd reches o oher end, he disnce coered by he mn nd his displcemen will respeciely be [] 6 m, 8 m [] 8 m, 6 m 8 m, 5 m 5 m, 8 m Q.. A body coered disnce of L m long cured ph of qurer circle. The rio of disnce o displcemen is [] [] Q.4. A pssenger rels long srigh line wih elociy for firs hlf ime nd wih elociy for nex hlf ime, hen he men elociy is gien by [] [] Q.5. A cr coers disnce of km in.5 minue, if i coers hlf of he disnce wih speed 4 km/hr, he res disnce i will coer wih speed [] 56 km/hr [] 6 km/hr 5 km/hr 48 km/hr Q.6. A bicyclis encouners series of hills. Uphill speed is lwys nd downhill speed is lwys. The ol disnce relled is, wih uphill nd downhill porions of equl lengh. The cyclis's erge speed is [] [] Q.7. A moor cr coers rd pr of ol disnce wih km / hr, second rd pr wih km/hr nd res rd pr wih 6km / hr. Wh is he erge speed of he cr? [] 8 km/hr [] 45 km/hr 6 km/hr.5 km/hr Q.8. The displcemen-ime grph for he wo pricles A nd B re srigh lines inclined ngles nd 6 wih he ime xis. The rio of he elociies of A o B will be [] : [] : : : Q.9. The elociy-ime grph of body is shown in figure. The displcemen coered by he ody in 8 seconds is [] m [] 9 m 4 m m (m/sec) (Sec)

2 Moion in one dimensions Q.. The riion of elociy of pricle moing long srigh line is shown in figure. The disnce rersed by he body in 4 seconds is [] 7 m [] 6 m 4 m 55 m Q.. The displcemen y (in meres) of body ries wih ime (in seconds) ccording o he equion. How long does he body come o res? y 6 [] 8 seconds [] seconds seconds 4 seconds Q.. If y denoes he displcemen nd denoes he ime nd he displcemen is gien by y sin, he elociy of he pricle is [] cos [] cos cos cos Q.. A ruck relling due o Norh m/s urns Es nd rels he sme speed. The chnge in is elociy is [] m / snorh Es [] m / ssouh Es elociy (m/sec) O 4 Time (sec) 4 m / snorh Es m / snorh Wes Q.4. Which one of he following equions represen he moion of body wih finie consn ccelerion. In hese equions y denoes he displcemen of he body ime nd,b nd c re he consn of he moion [] y = + b [] y y b y b c Q.5. A cr moing m/s due es ins speed 6 m/s owrds norh in 4 seconds. The mgniude of is erge ccelerion in m/s is [] m/s [] m/s 5 m/s 7 m/s Q.6. Adjcen grph shows he riion of elociy of rocke wih ime. Find he ime of burning of fuel from he grph [] sec [] sec sec cnno be esimed from he grph Q.7. The djoining cure represens he elociy-ime grph of pricle, is ccelerion lues long OA, AB nd BC in mere/sec re respeciely A B [],,.5 [],,.5,,.5,.5, Velociy in m/s y elociy in m/sec Time (second) 5 x C 4 Time in sec

3 Moion in one dimensions Q.8. A cr rels firs / of he disnce AB km/hr nex / of he disnce 4 km/hr, ls / of he disnce 4 km/hr. Is erge speed in km/hr for he whole jouney is [] 4 [] 5 8 Q.9. A pricle rels A o M long srigh line wih elociy of 8 m/s nd M o A wih elociy of m/s, hen he erge elociy for he whole journey is []. m/s [] 5 m/s. m/s m/s Q.. An objec will coninue ccelering unill [] he resuln force on i begins o decrese [] he elociy chnges direcion he resuln force on i is zero he resuln force is righ ngles o is direcion of moion Q.. A girl wlks long n es-wes sree, nd grph of her displcemen from home is s shown in figure. Her erge elociy for he whole ime inerls is disnce es [] zero (m) 4 B [] 6 m/min A C m/min 5 m/min Q.. The uniform moion in he following ccelerion ime grph is 5 5 min [] AB [] BC CD DE 5 (m/s ) 5 A -5 B 4 C 6 8 D E Q.. The displcemen-ime relionship for pricle is gien by x. The ccelerion of he pricle is [] [] Q.4. A pricle rels for 4 seconds under he influence of consn force. If he disnce relled by he pricle is S in he firs weny seconds nd S in he nex weny seconds, hen [] S = S [] S = S S = S S = 4S Q.5. A pricle moes wih consn ccelerion for 6 seconds fer sring from res. The disnce relled during he consecuie seconds inerl re in he rio [] : : [] : : : : 5 : 5 : 9 Q.6. A body hing iniil elociy u is moing wih uniform ccelerion. The disnce coered by i in n h second is [] u n [] u n u n u n Q.7. A bll is hrown upwrd nd reches heigh of 64 fee, is iniil elociy should be (g = f/sec ) [] 64 f/sec [] 7 f/sec f/sec 496 f/sec

4 Moion in one dimensions Q.8. Two bodies of differen msses m nd m b re dropped from wo differen heighs, iz nd b. The rio of imes ken by he wo o drop hrough hese disnce is [] : b [] m m b b : : b : b Q.9. A sone weighing kg is dropped from cliff in high wind. The wind exers sedy horizonl force of 5 N on he sone s i flls. The ph h he sone follows will be [] A prbol [] An ellipse A more compliced ph A srigh line Q.. A body hrown up wih finie speed is cugh bck fer 4 sec. The speed of he body wih which i is hrown up is [] m/sec [] m/sec m/sec 4 m/sec Q.. A bll is dropped from cerin heigh on glss floor so h i rebounds elsiclly o he sme heigh. If he process coninues, he elociy-ime grph for such moion would be V [] [] T T T T T T Q.. A sone is hrown ericlly upwrds wih n iniil elociy of m/s. The ime ken for he sone o rise o is mximum heigh is [].6 s [].6 s.6 s.6 s Q.. A body is hrown upwrd nd reches is mximum heigh. A h posiion [] is elociy is zero nd is ccelerion is lso zero [] is elociy is zero bu is ccelerion is mximum is ccelerion is minimum is elociy is zero nd is ccelerion is he ccelerion due o griy Q.4. The iniil elociy of pricle ( = ) is u nd he ccelerion of pricle ime is gien by f =. Where is consn which of he following relion for elociy of pricle fer ime is rue? [] = u + [] = u + / = u + none of hese Q.5. A mn is wlking on rod wih elociy km/hr. Suddenly rin srs flling. The elociy of rin is km/hr in ericlly downwrd direcion. The relie elociy of he rin is [] km / hr [] 7 km / hr 9 km / hr km/hr Q.6. A bo P is moing 4 km/hr nd noher bo Q is moing km/hr. Which one of he following is no possible lue for heir relie elociy [] km/hr [] km/hr km/hr 4 km/hr Q.7. The posiion of body wih respec o ime is gien by x = Accelerion = will be [] unis [] unis 4 unis 4 unis Q.8. A body rels cm in he firs wo seconds nd cm in he nex four second. The elociy he end of he seenh second from he sr will be [] cm/s [] 5 cm/s 5 cm/s cm/s Q.9. A mn snding on rod hold his umbrell wih he ericl o keep he rin wy. He hrows he umbrell nd srs running km/h. He finds h rindrops re hiing his hed ericlly, he speed of rin drop wih respec o he rod will be [] km/h [] km/h km/h 4 km/h V T T

5 Moion in one dimensions Q.4. The liner momenum of body is p. The liner momenum p ries wih ime. The equion for riion is p = + b where nd b re consns. The effecie force cing on he body is [] proporionl o [] consn proporionl o inersely proporionl o Q.4. The ccelerion of pricle increses linerly s b wih ime. If he pricle srs from s iniil elociy hen he disnce relled in seconds will be [] b 6 [] b 6 Q.4. A pricle hs elociy gien by = +. hen i hs 6 b [] uniform ccelerion [] uniform rerdion non uniform ccelerion zero ccelerion b Q.4. A body sring from res nd hs uniform ccelerion 8 m/sec. The disnce relled by i in 5h second will be [] 6 m [] 4 m m m Q.44. A body srs from res, he rio of disnces relled by he body during rd nd 4h seconds is [] 7/5 [] 5/7 7/ /7 Q.45. A body sliding on smooh inclined plne requires 4 sec o rech he boom fer sring from res he op. How much ime does i ke o coer one fourh he disnce sring from he op [] sec [] sec.4 sec.6 sec Q.46. The iniil elociy of pricle is m/sec nd is rerdion is m/sec. The disnce coered in he fifh second of he moion will be [] m [] 9 m 5 m 75 m Q.47. A pricle is moing es-wrds wih elociy of 5m/sec. In seconds is elociy chnges o 5m/sec norhwrds. The erge ccelerion during his ime is [] m / sec in N-W direcion [] m / sec in he N-E direcion m/sec in N-W direcion m/sec owrds es Q.48. A ship of mss x 7 kg iniilly res, is pulled by force of 5 x 4 N hrough disnce of m. Assuming h he resisnce due o wer is negligible, he speed of he ship is [].5 m/sec [] 6 m/sec. m/sec 5 m/sec Q.49 A pricle moes wih consn ccelerion such h in he successie ime inerls, nd is erge elociies re, nd. The rio of nd is [] : [] : : : Q.5 A cr rels from plce A o he plce B km/hour nd reurns km/hour. The erge speed of he cr for he whole journey is [] 5 km/hour [] 4 km/hour 5 km/hour 5 km/hour ANSWER KEY EXERCISE # Qus Ans Qus Ans Qus Ans. 4 4 Qus Ans.

6 EXERCISE # Moion in one dimensions Q. The elociy-ime grph of liner moion is shown below. The displcemen from he origin fer 8 seconds is u m/s (sec) [] 8 m [] 6 m 6 m 6 cm Q. A rin is moing in he norh speed m/sec. Is lengh is 5 m. A prro is flying prllel o he rin in he souh wih speed of 5 m/s. The ime ken by he prro o cross he rin will be [] sec [] 8 sec 5 sec sec Q. A pricle is moing in plne wih elociy gien by u u i cos j, where i nd j re uni ecors long x nd y xes respeciely. If pricle is he origin =. Clcule he rjecory of he pricle [] u y sin x [] x y sin u u y.sin x x y.sin u Q.4 In he following elociy-ime grph of body, he disnce nd displcemen relled by he body in 5 second in meers will be (sec) [] 7, [], 7 4, 7 9, 5 Q.5 A runner complees one round of circulr ph of rdius r in 4 sec. His displcemen fer minues sec. will be - [] zero [] r r 7 r Q.6 The displcemen is gien by x = + + 5, he ccelerion = 5 sec will be [] 8 m/s [] m/s 5 m/s 4 m/s Q.7 A pricle m oes long he x-xis in such wy h is x-coordine ries wih im e s x = The iniil elociy nd cclerion of pricle will respeciely be [] 5 m/s, m/s [] 5 m/s, m/s 5 m/s, m/s 5 m/s, m/s Q.8 Two rins ech of lengh 5 m, re pproching ech oher on prllel rils. Their elociies re m/s nd 5 m/s. They will cross ech oher in [] sec [] 4 sec sec 6 sec Q.9 A cr rels disnce of m. If he firs hlf disnce is coered 4 km/hour nd he second hlf elociy nd if he erge elociy is 48 km/hour hen he lue of is [] 56 km/hour [] 6 km/hour 5 km/hour 48 km/hour

7 Moion in one dimensions Q. The following figures show some elociy V ersus ime cures. Bu only some of hese cn be relised in prcice. These re V V V V O O O O () (b) (c) (d) [] Only,b nd d [] only,b,c only b nd c ll of hem Q. A n insn, he coordines of pricle x =, y = b nd z =, hen is elociy he insn will be [] b [] b b b Q. Figure shows he posiion of pricle moing on he x-xis s funcion ime [] he pricle hs come o res 6 imes [] he mximum speed is = 6 sec he elociy remins posiie for = o = 6 sec he erge elociy for he ol period show in negie Displcemen 4 6 (sec) Q. A rocke is projeced ericlly upwrds nd is ime elociy grph is shown in he figure. The mximum heigh ined by he rocke is V (M/sec) (sec) [] km [] km km 6 km Q.4 A sone is dropped ino well nd he sound of impc of sone on he wer is herd fer.56 sec of he relese of sone fro he op. If ccelerion due o griy is 98 cm/sec nd elociy of sound in ir is 5 m/s, clcule he deph of he well [].96 m [] 9.6 m 6.9 m 69. m Q.5 A body is dropped from heigh h under ccelerion due o griy g. If nd re ime inerls for is fll for firs hlf nd he second hlf disnce, he relion beween hem is [] = [] = =.44 = 4 Q.6 A rocke is lunched from he erh surfce so h i hs n ccelerion of 9.6 m/s. If is engine is swiched off fer 5 seconds of is lunch, hen he mximum heigh ined by he rocke will be [] 45 m [] 49 m 98 m 75 m Q.7 If he relion beween disnce x nd ime is denoed by quniies, he decelerion of he pricle is x x where nd re consn [] [] Q.8 A pricle is moing so h is displcemens is gien s s 6 4 meer. Is elociy he insn when is ccelerion is zero will be [] m/s [] m/s 4 m/s 9 m/s

8 Q.9 A cr srs from res nd hs n ccelerion Moion in one dimensions. A ruck is moing wih uniform elociy of 4 m/s. A wh disnce will he cr oerke he ruck? ( = boh sr heir moion in he sme direcion from he sme posiion) [] 6 m [] 8 m m 4 m Q. An objec is relesed from some heigh. Excly fer one second, noher objec is relesed from he sme heigh. The disnce beween he wo objecs excly fer secodns of he relese of second objec will be [] 4.9 m [] 9.8 m 9.6 m 4.5 m Q. A bll is hrown from he ground wih elociy of 8 f/sec. Then he bll will be heigh of 96 fee boe he ground fer ime [] nd sec [] only sec only sec nd sec Q. A mn snding on he edge of cliff hrows sone srigh up wih iniil speed u nd hen hrows noher sone srigh down wih sme iniil speed u from he sme posiion. Find he rio of speeds, he sone would he ined when hey hi he ground he bse of he cliff? [] : [] : : : Q. A sone is dropped from bridge nd i reches he ground in 4 seconds. The heigh of he bridge is [] 78.4 m [] 64 m 6 m m Q.4 A sone is dropped from he op of ower nd i srikes wih km/hr gins he ground. Anoher sone is hrown ericlly downwrds from he sme op of he ower wih elociy 4 km/hr. Is elociy when i srikes he ground will be [] 7. km/hr [] 5. km/hr.5 km/hr 4. km/hr Q.5 A sone is hrown ericlly upwrds from he op of ower wih elociy u nd i reches he ground wih elociy u. The heigh of he ower is [] u g [] 4u g 6u g 9u g Q.6 The displcemen of pricle s funcion of ime is shown in fig.the fig. indices h y Disnce 4 Time [] he pricle srs wih cerin elociy, bu he moion is rerded nd finlly he pricle sops [] he elociy of pricle is consn hrough he ccelerion of he pricle is consn hroughou he pricle srs wih consn elociy, he moion is ccelered nd finlly he pricle moes wih noher consn elociy. Q.7 The ccele rion of pric le, sring from r es, ries wih im e ccording o h e relion = k + c. Then he elociy of he pricle fer ime will be [] k c [] k c k c k c

9 Moion in one dimensions Q.8 The elociy of pricle moing in he posiie direcion of x-xis ries s x where is posiie consn. Assuming h he momen =, he pricle ws loced x = he lue of ime dependence of he elociy nd he ccelerion of he pricle [], [],, None of hese Q.9 Three poins re loced he erices of n equilerl ringle whose side equls. They ll sr moing simulneously wih elociy V consn in mgniude. Wih he firs poin heding coninuously for he second, he second for he hird nd he hird for he firs. How soon will he poins coerge? [] V [] V V V Q. Two bodies of msses m nd m re dropped from heigh h nd h respeciely. They rech he ground fer ime nd respeciely. Which of he following relion is correc [] h h / [] h h m m / m m Q. Which of he following semens is wrong bou bll hrown ericlly up? [] i is moing wih consn ccelerion [b] i my he differen elociies he sme posiion [c] i my he wo posiions he sme ime [d] he ngulr momenum of he pricle bou origin remins consered [] c only [] c, d b, c, d, b, c nd d Q. A pricle is projeced ericlly upwrds nd i reches he mximum heigh H in ime T seconds. The heigh of he pricle ny ime will be g T [] g T [] H g T H g T Q. A rocke is fired ericlly upwrds such h is engine kes seconds in exploding fully. Is elociy ime cure is shown in he figure. The heigh reched by he rocke is Velociy in m/s Time (in sec) [] kms [] 4 kms 4 kms kms K x [ exp b ], hen he b Q.4 If he displcemen of pricle ries wih ime ccording o he relion elociy (V) of he pricle is [] V K exp b [] V exp b K K V exp( b) b b K b V exp b

10 Q.5 If elociy of pricle is gien by Moion in one dimensions V m / s. The erge ccelerion beween nd 5 s is [] m/s [] 4 m/s m/s 4 m/s Q.6 A body of mss kg flls from he mulisoreyed building m high nd buries iself meers deep in he snd. The ime of penerion will be [] 9 sec. [].9 sec..9 sec. sec. Q.7 A body relling wih uniform ccelerion crosses wo poins A nd B wih elociies m/sec nd m/sec respeciely. Then he speed of he body mid-poin of A nd B is [] 5 m/sec [] 5.5 m/sec 4 m/sec 6 m/sec Q.8 Two mirrors, mouned ericlly, re mde o moe owrds ech oher wih speed m/s ech. A pricle h cn bounce bck beween he wo mirrors srs from one mirror when he mirrors re d meers pr. On reching he second mirror, i bounces bck nd so on. If he pricle keeps on relling consn speed of m/s, how mny rips cn i mke before he mirrors run ino ech oher nd wh ol disnce does i coer [],5.d [],.5 d,6.d,.6 d Q.9 Two rins ech hing speed of km/hour re heded ech oher on he sme srigh rck. A bird h cn fly 6 km/hour flies off from one rin when hey re 6 km pr nd heds direcly for he oher rin. On reching he oher rin i flies direcly bck o he firs, nd so fourh hen he ol disnce relling by he bird is [] 4 km [] 6 km 8 km km Q.4 The disnce coered by he body in ime '' is proporionl o he squre of he ime ''. The ccelerion of he body is [] incresing [] decresing zero consn Q.4 If he displcemen of pricle ries wih ime s x 7, he [] elociy of he pricle is inersely porporionl o [] elociy of he pricle is proporionl o elociy of he pricle is proporionl o he pricle moes wih consn ccelerion Q.4 Beween wo sions rin cceleres uniformly firs, hen moes wih consn speed nd finlly rerds uniformly. If he rios of ime ken re : 8 : nd he grees speed is 6 km/hour. Then he erge speed oer he whole journey [] 45 km/hr [] 54 km/hr 5 km/hr 5 km/hr Q.4 A cr cceleres from res consn re for some ime fer which i deceleres consn re o come o res. The mximum elociy V reched if ol ime ken ( seconds) is gien by [] V [] V V Q.44 The disnce x relled by he cr in boe problem in ime '' is gien by [] x [] x x V x Q.45 A bll is hrown ericlly upwrds wih elociy of m/s. If he ccelerion due o griy is m/s, wh will be he disnce relled by i in he ls second of moion. [] 5 m [] m 5 m m

11 Moion in one dimensions Q.46 Two blls re dropped from differen heighs. One bll is dropped sec fer he oher bu hey boh srike he griound he sme ime, sec fer he firs is dropped. The difference in he heighs which hey were dropped is [] 7.8 m [] 78 m 5.6 m 9. m Q.47 If body rels hlf is ol ph in he ls second of is fll from res hen he ime nd heigh of is fll re [].4 sec, 57 m [] 4. sec, 57 m.4 sec, 57 m.4 sec, 75 m Q.48 From he foo of ower 9 m high, sone is hrown up so s o rech he op of he ower. Two second ler noher sone is dropped from he op of he ower. The wo sones will mee [] 8.6 m [] 8.6 m 6.8 m 68. m Q.49 Two bodies re hrown ericlly upwrd, wih he sme iniil elociy of 98 m/s bu 4 sec pr. How long fer he firs one is hrown will hey mee? [] sec [] sec sec sec Q.5 A bll is hrown ericlly upwrds from he op of ower wih elociy of m/sec. If he bll flls on he ground fer 5 seconds, he heigh of he ower will be [] 5 m [] 5 m 75 m m Q.5 In he boe quesion, wh heigh boe he ower will he bll in? [] 5 m [] 5 m 5 m m Q.5 In he boe quesion, he ol disnce relled by he bll before i reurns o he ground is [] 85 m [] 75 m m 75 m Q.5 In he boe quesion, in wh ime will i rech he mximum heigh [] sec [] sec sec / sec Q.54 In he boe quesion, wih wh elociy will he bll srike he ground [] zero [] 4 m/s m/s 6 m/s Q.55 A sone is dropped from he op of he ower nd rels 4.5 m in he ls second of is journey. The heigh of he ower is [] 44. m [] 49 m 78.4 m 7 m Q.56 Two blls re dropped from he sme poin fer n inerl of s. If ccelerion due o griy is m/s, wh will be he seprion seconds fer he relese of firs bll? [] 5 m [] m 5 m m Q.57 Two blls of equl msses re hrown upwrds long he sme ericl direcion n inerl of seconds. Wih he sme iniil elociy of 9. m/sec. Then hese collide heigh of [] 7.6 m [] 7.5 m 96. m 44. m Q.58 The speed of pricle moign long srigh line, when i is disnce x from fixed poin on he line is gien by = 8 x 9x. Then mgniude of is ccelerion when i is disnce mere from he fixed poin is [] 9 m/s [] 8 m/s 7 m/s None of hese Q.59 A body is hrown up in lif wih elociy u relie o he lif nd he ime of fligh is found o be ''. The ccelerion wih which he lif is moing up will be [] u g [] u g u g u g

12 Moion in one dimensions Q.6 A body dropped from he op of ower coers 7/6 of he ol heigh in he ls second of is fll. The ime of fll is [] sec [] 4 sec sec 5 sec 7 Q.6 A person snding on he roof of house of heigh h hrows pricle ericlly downwrds nd oher pricle in horizonl direcion wih he sme speed u. The rio of speeds of he pricles on reching he erh is [] gh : u [] : : : Q.6 In he boe quesion, he rio of ericl componens of he elociies will be [] one [] more hn one less hn one will depend on mss Q.6 In he boe quesion he firs pricle insed of being hrown downwrds, is hrown upwrds wih he sme elociy. The rio of he elociies of he pricles on reching he erh, will be [] : [] : : : 4 Q.64 Juggler keeps on moing four blls in he ir coninuously such h ech bll ins m heigh. When he firs bll lees his hnd, he posiion of he oher blls ( in mere heigh) will be [],, [] 5,, 5 5, 5, 5,, Q.65 The rerdion of moor bo fer is engine is swiched off, is gien by d d = k, where k is consn nd is is elociy he ime of shuing off of he engine. The elociy of he moor bo fer ime will be [] k [] k e Q.66 A pricle m oes wih consn speed long regulr hexgon ABCDEF in sme order (ie., A o B, B o C, C o D, D o E, E o F, F o A...) Then mgniude of erge elociy for is moion from A o C [] V [] V/ V / None of hese Q.67 The ccelerion () of moing pricle ries wih displcemen ccording o he following relion x x. Then correc relion beween elociy nd displcemen is (where C = consn) [] x x V C [] V x x C V x x C V = x + Q.68 If poin moes in srigh line in such mnner h is rerdion is proporionl o is speed, he disnce coered (x) is ssoscied wih speed (V) is [] x V [] x V x V x V Q.69 A bll is dropped from heigh of m nd rebounds wih elociy which is /4h of he elociy wih which i his he ground. Wh is he ime inerl beween he firs nd second bounces (g = m/s ) [] sec [] 4 sec 5 sec 6 sec

13 Moion in one dimensions Q.7 A rier is flowing from wes o es speed of 5 meres/minue. A mn on he souh bnk of he rier, cpble of swimming meres/min. in sill wer, wns o swim cross he rier in shores ime. He should swim in direcion [] due norh [] es of norh wes of norh 6 es of norh Q.7 A pricle moes long circle wih uniform speed. Afer i hs mde n ngle of 6, he chnge in is speed will be [] [] Q.7 A bo moes relie o wer elociy which is /n imes he rier flow elociy. A wh ngle o he srem direcion mus be bo moe o minimize drifing? [] / [] sin n sin / n sin / n Q.7 A pricle moes wih in horizonl circulr ph. The chnge in is elociy for coering 6 will be [] [] / Q.74 A cr A is going norh-es 8 km/hr. nd noher cr B is going souh-es 6 km/hr. Then he direcion of he elociy of A relie o B mkes wih he norh n ngle such h n is [] /7 [] /4 4/ /5 Q.75 The moion of pricle is defined by x cos nd y sin. The ccelerion of pricle is [] [] Q.76 A bo mn could row his bo wih speed m/sec. He wns o ke his bo from P o poin Q jus opposie on he oher bnk of he rier flowing speed 4 m/sec. He should row his bo [] righ ngle o he srem [] n ngle of sin / 5 n ngle of sin / 5 wih PQ up he srem wih PQ down he srem Q V =4m/s s n ngle of cos / 5 wih PQ down he srem P Q.77 A pricle is execuing circulr moion of rdius R wih uniform speed. Afer compleing hlf he circle, he chnge in elociy nd in speed will be respeciely [] zero, zero [], zero, zero, Q.78 A blloon is heigh of 8 meres nd is scending upwrds wih elociy of m/s. A body of kg weigh is dropped from i. If g = m/s, he body will rech he surfce of he erh in [].5 sec [] 4.5 sec 5.4 sec 6.75 sec Q.79 If he posiion ecor of pricle is r î 4ĵ kˆ, he pricle will be [] moing wih uniform elociy [] sionry moing wih uniform ccelerion insufficien d Q.8 A bulle loses bulle is - of is elociy in pssing hrough plnk. The les number of plnks required o sop he [] []

14 Moion in one dimensions Q.8 The moion of body flling from res in resising medium is described by he equion d b d, where nd b re consns. The elociy ny ime is - [] [] b b ( e ) b b e b b ( e ) b e b Q.8 A bll is hrown ericlly upwrds. I ws obsered heigh h wice wih ime inerl. The iniil elociy of he bll is - [] 8gh g ( ) [] g 8gh 8gh g ( ) 8gh 4g ( ) Q.8 A sone flls freely from poin O. I psses hrough he poins P, Q, R... such h OP, OQ, OR,... re in geomeric progression. Then elociies of sone P, Q, R... re in - [] rihmeic progression [] geomeric progression hrmonic progression logrihmic men Q.84 A ship of mss 7 kg, iniilly res, is pulled by force of 5 4 N hrough disnce of m. Assuming h he resisnce due o wer is negligible, he speed of he ship is - [].5 ms [] 6 ms. ms 5 ms Q.85 An eleor whose floor o ceilling disnce is l is scending wih uniform ccelerion i. A some insn (sy = ), loose bol drops from is ceiling. The ime ken by he bol o hi he floor is - [] g [] g g ANSWER KEY EXERCISE # Qus Ans Qus Ans Qus Ans Qus Ans. 4 Qus Ans Qus Ans.

15 EXERCISE # Moion in one dimensions Q. The displcemen ime grph for wo pricles A nd B re srigh lines inclined ngles of nd 6 wih he ime xis. The rio of elociy of V A : V B is B [CPMT-99] [] : [] : : : Q. An eleor cr, whose floor o celling disnce is equl o.7 m, srs scending wih consn ccelerion of. ms -. sec fer he sr, bol begins flling from he ceiling of he cr. The free fll ime of he bol is [CET Krnk-94] [].54 s [] 6 s.7 s s Q. A body 'A' is dropped ericlly from he op of ower. If noher idenicl body 'B' is projeced hrown from he sme poin he sme insn, hen [] 'A' will rech he ground erlier hn 'B' [] 'B' will rech he ground erlier hn 'A' Boh 'A' nd 'B' will rech he ground simulneously none of hese Q.4 A body is dropped from he op of ower wih zero elociy nd reches ground in 4 seconds. The heigh of he ower is bou [g = m/s ] [AFMC-94] [] m [] 4 m 8 m 6 m Q.5 The ime displcemen grph of moing pricle is shown s he insnneous elociy is negie of he poin [] D [] F C E [AFMC-94; CBSE-94] Q.6 A blloon is heigh of 8 m nd is scending upwrds wih elociy of m/s. A body of kg weigh is dropped from i. If g = m/s, he body will rech he surfce of he erh in [].5 s [] 4.5 s 5.4 s 6.75 s [RPMT-94] DISPLACEMENT C s O 6 )) D E TIME F A Q.7 The iniil elociy of body moing long srigh line is 7 m/s. I hs uniform ccelerion of 4 m/s. The disnce coered by he body in he 5 h second of is moion is [RPMT-94] [] 5 m [] 5 m 5 m 85 m Q.8 A body is projeced up o wih speed 'u' nd he ime ken by i is T o rech he mximum heigh H. Pick ou he correc semen [EAMCET-95] [] I reches H/ in T/ sec [] I cquires elociy u/ in T/ sec Is elociy is u/ H/ Sme speed T

16 Moion in one dimensions Q.9 A pricle moing wih uniform ccelerion rels 4 m nd 64 m in he firs wo consecuie inerls of 4 sec ech. Is iniil elociy is [MP PET-95] [] m/sec [] m/sec 5 m/sec m/sec Q. A rocke is fired upwrd from he erh's surfce such h i crees n ccelerion of 9.6 m/sec. If fer 5 sec is engine is swiched off, he mximum heigh of he rocke from erh's surfce would be [MP PET- 95] [] 45 m [] 49 m 98 m 75 m Q. A bll is hrown upwrds wih elociy of m/sec. I will rech he ground fer [AFMC-95] [] 4 sec [] sec sec 5 sec Q. The ccelerion of pricle is incresing linerly wih ime s b. The pricle srs from he origin wih n iniil elociy. The disnce relled by he pricle in ime will be [BHU-95,CPMT-95] [] b 6 [] b b b Q. The displcemen of body is gien o be proporionl o he cube of ime pssed. The mgniude of he ccelerion of he body, is [AIIMS-96] [] Incresing wih ime [] Decresing wih ime Consn bu no zero Zero Q.4 A pricle srs from res nd moes wih uniform ccelerion. Then he rio of disnce coered in n h sec. o n sec. is [RPET-96] [] n n [] n n n n n n Q.5 A cr moes for hlf of is ime 8 km/h nd for res hlf of ime km/h. Tol disnce coered is 6 km. Wh is he erge speed of he cr [RPET-996] [] 6 km/h [] 45 km/h km/h 8 km/h Q.6 A body dropped from heigh h wih iniil elociy zero, srikes he ground wih elociy m/s. Anoher body of sme mss is dropped from he heigh h wih n iniil elociy of 4 m/s. Find he finl elociy wih which i srikes he ground [CPMT-96] [] m/s [] 4 m/s 5 m/s m/s Q.7 If body srs from res nd rels. m in he 8h second hen wh is he ccelerion [AFMC-97] []. m/s [].6 m/s.8 m/s.55 m/s Q.8 A rin is moing wih uniform elociy. Suddenly, comprmen is sepred nd sill rin is moing wih sme elociy he comprmen moes o cerin disnce nd comes o res. The disnce relled by he comprmen is how much imes of he disnce relles by he rin in he sme ime [RPET-97] [] one fourh [] Hlf Equl In uncerin rio Q.9 A sone dropped from building of heigh h nd i reches fer seconds on erh. From he sme building if wo sones re hrown [one upwrds nd oher downwrds] wih he sme elociy u nd hey rech he erh surfce fer nd seconds respeciely, hen [CPMT-97] [] []

17 Moion in one dimensions Q. By which elociy bll be projeced ericlly so h he disnce i coers in is 6 second is wice he disnce i coers in is 6 h second -(g = m/s ) [CPET-,CPMT-97] [] 58.8 m/s [] 49 m/s 65 m/s 7.5 m/s Q. The coordines of moing pricle ny ime re gien by x nd ny momen is y b. The speed of he pricle [EAMCET-9, CPMT-97] [] b [] b b b Q. A pricle experience consn ccelerion for sec fer sring from res. If i rels disnce S in he firs sec nd disnce S in he nex sec, hen [CPMT-97] [] S S [] S S S S S S 4 Q. A body sliding on smooh inclined plne requires 4 seconds o rech he boom, sring from res he op. How much ime does i ke o coer one-fourh he disnce sring from res he op [BHU-98] [] sec [] sec 4 sec 6 sec Q.4 A bll relesed from gre heigh flls freely owrds erh. Anoher body is relesed from he sme heigh excly one second ler. The seprion beween he wo bodies fer wo second he relese of he second body is [BHU-98] [] 9.8 m [] 49 m 4.5 m 9.6 m Q.5 A cr moing wih speed of 4 km/hr cn be sopped by pplying breks fer les m. If he sme cr is moing wih speed of 8 km/h. Wh is he minimum sopping disnce [CBSE-98] [] 8 m [] m 4 m 6 m Q.6 A cr rels hlf disnce wih 4 km/hr nd res hlf disnce wih 6 km/hr., hen he erge speed of cr is [] 4 km/hr [] 48 km/hr 5 km/hr 6 km/hr [RPET-98] Q.7 A cr moes long srigh line whose equion of moion is gien by s, where[s] is in meres nd [] in seconds. The elociy of he cr sr will be [] 7 m/s [] 9 m/s m/s 6 m/s [CPMT-98] Q.8 A sone is hrown wih n iniil speed of 4.9 m/s from bridge in ericlly upwrd direcion. I flls down in wer fer sec. The heigh of he bridge is [AFMC-99] [] 4.9 m [] 9.8 m 9.8 m 4.7 m Q.9 Two cr A nd B re iniilly res. Now cr A srs moing wih consn elociy of 4 m/s nd cr B srs moing wih consn ccelerion of 4 m/s. How much ime will he lpsed from before he crs gin mee [RPET-99] [] 5 second [] second second 5 second Q. A wheel coers disnce of 9.5 km in reoluions. The dimeer of he wheel is [RPMT-99] [] 5 cm [] 7.5 cm.5 m 7.5 m Q. Two rins, ech 5 m long re relling in opposie wih elociy of 5 m/s. The ime of crossing is[ CPMT-99] [] s [] s s 4 s

18 Q. The displcemen of pricle is gien by Moion in one dimensions 4 y b c d. The iniil elociy nd ccelerion re respeciely [] b, 4d [] b, c b, c c, 4d [CPMT-99] Q. A sone is llowed o fll from from he op of ower nd coers hlf he heigh of he ower in he ls second of is journey. The ime ken by he sone o rech he foo of he ower is [CPMT-99] [] s [] s 4s s Q.4 A mn hrows bll ericlly upwrd nd i rises hrough m nd reurns o his hnds. Wh ws he iniil elociy (u) of he bll nd for how much ime (T) i remined in he ir (g = m/s ) [MPPET-] [] u = m/s, T = s [] u = m/s, T = 4s u = m/s, T = s u = m/s, T = 4s Q. 5 A blloon srs rising from he ground wih n ccelerion of.5 m/s. Afer 8s, sone is relesed from he blloon. The sone will ( king g = ms - ) [Krnk-] [] He displcemen of 5 m [] Coer disnce of 4 m in reching he ground Rech he ground in 4s Begin o moe down fer being relesed Q. 6 A ery lrge number of blls re hrown ericlly upwrds in quick succession in such wy h he nex bll is hrown when he preious one is he mximum heigh. If he mximum heigh is 5m, he number of blls hrown per minue is (ke g = ms - ) [Krnk-] [] [] Q. 7 Iniilly body is res. If is ccelerion is 5 m/s, hen clcule he disnce relled in he 8h sec [] 86.5 m [] 87.5 m 88 m 89 m [AFMC-] Q.8 A pricle is moing wih elociy 5 m/s owrds es nd is elociy chnges o 5 m/s norh in sec. Find he ccelerion. [UP-CPMT-] [] N W [] N W N E N E Q.9 A sone is dropped from running bus. I will rel owrds he ground in [BHU-] [] srigh line [] circulr ph prbolic ph none of hese Q.4 A force of N is pplied on body of mss kg moing wih elociy of 5 m/s. How much ime does i require o cquire elociy of 5 m/s [Mnipl-] [] sec [] 4 sec 6 sec 8 sec Q.4 If freely flling body rels in he ls second, disnce equl o he disnce relled by i in he firs hree seconds, he ime of is rel is [Mnipl-] [] sec [] 4 sec 5 sec 6 sec Q.4 A pcke is dropped from blloon which is going upwrd wih elociy m/sec. The elociy of he pcke fer seconds will be [Mnipl-] [] 7.6 m/sec [] 7.6 m/sec m/sec m/sec Q.4 If bll is hrown ericlly upwrds 4 m/s, is elociy fer wo seconds will be [AIIMS] [] m/s [] m/s m/s 4 m/s Q.44 Velociy-ime cure for body projeced ericlly upwrds is [AIIMS-] [] Ellipse [] Prbol Hyperbol Srigh line

19 Moion in one dimensions Q.45 A moorcycle is moing wih elociy 8 km/hr hed of cr moing wih elociy of 65 km/hr in he sme direcion. Wh is he relie elociy of he moorcycle wih respec o he cr [AFMC-] [] 5 km/hr [] km/hr 5 km/hr 45 km/hr Q.46 A body srs from res nd hs n ccelerion cm/sec. Wh is he disnce coered by he body in firs 8 sec [AFMC-] [] 6 cm [] 64 cm 8 cm 64 cm Q.47 The speed of bo is 5 km/hr in sill wer. If i crosses rier of widh km long he shores possible ph in 5 minues, hen elociy of he rier is [AFMC-] [] 4 km/hr [] km/hr km/hr km/hr Q.48 A pricle rels m in firs 5 sec nd m in nex sec. Assuming consn ccelerion wh is he disnce relled in nex sec [RPET-] [] 8. m [] 9. m. m None of hese Q.49 The displcemen [s] of body is direcly proporionl o he squre of he ime [] hn he ccelerion of he body is [RPMT-] [] increses [] consn decreses zero Q.5 A rin coers 5 mere disnce nd sops when pplied he breks. If he elociy of rin is jus doubled nd pplied he sme rerding force hen he disnce coered by he rin is [RPMT-] [] 5 m [] m 5 m m Q.5 Equion of posiion [x] wih ime [] is gien by equion x = The ccelerion ime = s. is [] 8 m/s [] m/s Zero 4 m/s [CPMT-] Q. 5 A bll is dropped ericlly from heigh d boe he ground. I his he ground nd bounces up ericlly o heigh d/. Neglecing subsequen moion nd ir resisnce, is elociy ries wih he heigh h boe he ground s [IIT-] d [] h d [] h d d h h Q.5 A pricle moes ccording o boe elociy ime grph. Then wh is he rio beween disnce relled in ls seconds nd 7 second [RPET-] m/sec [] 4 [] sec Q.54 For freely flling body rio of disnces relled in firs, second nd hird second of is moion will be [RPET-] [] 5 : : [] : 4 : 9 : : 5 9 : 4 : Q.55 5 m long rins re crossing ech oher in opposie direcion wih elociy of m/s nd 5 m/s respeciely. Then ime-ken by rins o cross ech oher will be [RPET-] [] sec [] 4 sec 6 sec 8 sec

20 Moion in one dimensions Q.56 A pricle moes in es wih elociy of 5 m/s for sec. hen moes norhwrd wih 5 m/s for 8 sec, hen erge elociy of he pricle is [RPMT-] [] m/s [] 5 m/s 7 m/s m/s Q.57 A pricle is hrown ericlly upwrd. Is elociy hlf of he heigh is m/s, hen mximum heigh ined by i (g = m/s ) [CPMT-] [] 8 m [] m m 6 m Q.58 A body srs from res wih ccelerion = [ ] hen is elociy fer 5 seconds will be [RPET-] [] 5 m/s [] 5 m/s 5 m/s 45 m/s Q.59 A poin P consider conc poin of wheel on ground which rolls on ground wihou sliping hen lue of displcemen of poin P when wheel complees hlf of roion - [If rdius of wheel is m] [CPMT-] [] m [] 4 m m m Q.6 A cr, moing wih speed of 5 km/hr. cn be sopped by brkes fer les 6 m. If he sme cr is moing speed of km/hr, he minimum sopping disnce is [CPET-] [] 4 m [] 6 m m 8 m Q.6 The coordines of moing pricle ny ime '' re gien by x md ime '' is gien by y. The speed of he pricle [CPET-] [] [] Q.6 A mn hrows blls wih he sme speed ericlly upwrds one fer he oher n inerl of seconds. Wh should be he speed of he hrow so h more hn wo blls re in he sky ny ime (g = 9.8 m/s ) [CPMT-] [] only wih speed 9.6 m/s [] more hn 9.6 m/s les 9.8 m/s ny speed less hn 9.6 m/s Q.6 If bll is hrown ericlly upwrds wih sped u, he disnce coered during he ls seconds of is scen is [] u [] g u g u g [CPMT-] Q.64 A pricle moes in srigh line wih rerdion proporionl o is displcemen. Is loss of kineic energy for ny displcemen x is proporionl o [AIEEE-4] [] log e x [] e x x x Q.65 A bll is relesed from he op of ower of heigh h meers. I kes T seconds o rech he ground. Wh is he posiion of he bll T second [AIEEE-4] 7h 7h [] meer from he ground [] meer from he ground 8 9 8h h meer from he ground meer from he ground 9 9 Q.66 The relion beween ime nd disnce x is = x + bx where nd b re consns. The ccelerion is - [AIEEE-5] [] [] b b

21 Moion in one dimensions Q.67 A cr, sring from res, cceleres he re f hrough disnce S hen coninues consn speed for ime nd hen deceleres he re f o come o res. If he ol disnce rersed is 5 S, hen - [] S = f [] S = 4 f S = f S = 6 f [AIEEE-5] Q.68 A pricle is moing eswrds wih elociy of 5 ms. In seconds he elociy chnges o 5 ms norhwrds. The erge ccelerion in his ime is [AIEEE-5] [] zero [] ms owrds norh-wes owrds norh-es ms ms owrds-norh Q.69 A bulle fired ino fixed rge loses hlf of is elociy fer penenring cm. How much furher i will penere before coming o res ssuming h if fces consn resisnce o moion - [AIEEE-5] [].5 cm []. cm. cm. cm Q.7 A prchuis fer biling ou flls 5 m wihou fricion. When prchue opens, i deceleres m/s. He reches he ground wih speed of m/s. A wh heigh, did he bil ou - [AIEEE-5] [] 9 m [] m 9 m 8 m Q.7 Two boys re snding he ends A nd B of ground where AB =. The boy B srs running in direcion perpendiculr o AB wih elociy. The boy A srs running simulneously wih elociy nd cches he oher boy in ime, where is - [CPMT-5] [] / [] / ( ) /( ) /( ) Q.7 A bll is hrown ericlly upwrd. I hs speed of m/sec when i hs reched one hlf of is mximum heigh. How high does he bll rise? Tke g = m/s - [CPMT-5] [] m [] 5 m 5 m m Q.7 Wh will be he s x grph for he following grph? [IIT Scr.-5] [] []

22 Moion in one dimensions Q.74 A pricle loced x = ime =, srs moing long he posiie x-direcion wih elociy '' h ries s = x. The displcemen of he pricle ries wih ime s - [AIEEE-6] [] [] / Q.75 A cr runs consn speed on crculr rck of rdius m, king 6.8 seconds for eery circulr lp. he erge elociy nd erge speed for ech circulr lp respeciely - [CPMT-6] [], m/s [] m/s, m/s m/s,, Q.76 A pricle moes long srigh line OX. A ime (in seconds) he disnce x (in meres) of he pricle from O is gien by x = 4 +. How long would he pricle rel before coming o res. [CPMT-6] [] 4m [] 56m 6m 4m Q.77 Two bodies, A(of mss kg) nd B (of mss kg), re dropped from heighs of 6m nd 5m, respeciely. The rio of he ime ken by hem o rech he ground is [CPMT-6] [] /5 [] 5/ 4/5 5/4 Q.78 The elociy of pricle is = + g + f. If is posiion is x = =, hen is displcemen fer uni ime ( = ) is [AIEEE-7] () + g + f () + g/ + f () + g + f (4) + g/ + f/ Q.79 A pricle moing long x-xis hs ccelerion f, ime, gien by f f T, where f nd T re consns. The pricle = hs zero elociy. In he ime inerl beween = nd he insn when f =, he pricle elociy ( x ) is [CPMT-7] () V T () f T () f T (4) f T Q.8 A cr moes from X o Y wih uniform speed u nd reurns o Y wih uniform speed d. The erge speed for his round rip is [CPMT-7] () u d () ud d u () u d (4) ud Q.8 The posiion x of pricle wih respec o ime long x-xis is gien by x = 9 where x is in meres nd in second, wh will be he posiion of his pricle when i chiees mximum speed long he +x direcion. [CPMT-7] () 4m () m () 54m (4) 8m d u ANSWER KEY EXERCISE # Qus Ans Qus Ans. 4 4 Qus Ans. 4 4 Qus Ans. 4 Qus Ans Qus Ans. 4