Physics Worksheet Lesson 4: Linear Motion Section: Name:

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Damian Gregory
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1 Physics Workshee Lesson 4: Liner Moion Secion: Nme: 1. Relie Moion:. All moion is. b. is n rbirry coorine sysem wih reference o which he posiion or moion of somehing is escribe or physicl lws re formule. c. The lws of mechnics in boh frmes of reference re compleely equilen if hey moe relie o ech oher wih. 2. Disnce n Displcemen:. A isnce () is quniy. A isnce is e. The mximum spee limi on highwy sysem is 100 km/h. Wh is he isnce rele by cr moing coninuously his spee for 2 hours? f. If he polr ber runs spee of bou 10, how fr will i rel in 10 minues? Uni of isnce:. b. A isplcemen () is quniy. A isplcemen represens g. An erge ree sloh moes wih spee of 0.5. How long oes i ke sloh moing his spee o rel 20 m? Uni of isplcemen:. 3. Spee n Velociy:. A spee () is quniy. A spee is h. The longes srech of srigh rilro rcks exens isnce of oer 400 km wihou cure. How long woul i ke rin moing consn spee of 80 km/h o rel his lengh of rck? b. Aerge spee () =. c. The spee () ny insnce of n objec is clle i. The cheeh, he fses of ln nimls, cn run isnce of 200 m in 6 s is op spee. Wh is he cheeh s op spee?, n i is equl o he Uni of spee:. j. When suen see he lighening srikes ree 2 km wy, he her he huner fer 6 secons. Wh ws he spee of soun, in meers per secon, h momen?. : spee ny insnce of n objec is consn. Mr. Lin 1

2 Physics Workshee Lesson 4: Liner Moion Secion: Nme: k. A elociy () is quniy. l. A elociy is b. The slope of he elociy-ime grph is. elociy () =. The is he mgniue of elociy Uni of elociy:. m. Wh s he ifference beween spee n elociy? n. Aerge elociy () =. o. The elociy () ny insnce of n objec is clle, n i is equl o he p. To he consn elociy requires boh n. q. : elociy ny insnce of n objec is consn. c. Eiher or (or boh) is chnging, i.e., chnges in he se of moion, n hen here is ccelerion.. A cr chnges is spee from res o 25 in 5 secons, wh is he ccelerion of he cr? e. A cr slow own from 35 o 10 in 4 secons, wh is he ccelerion of he cr? r. Eiher or (or boh) is chnging n hen he elociy is chnging. 4. Accelerion:. An ccelerion () is quniy. An ccelerion is =. f. The following grph represens he liner moion of n objec. () Mnully skech grph h will represen he ccelerion of he objec. (b) Clcule he ol isnce he objec coers uring he ime 0 s 8 s. () (s) Uni of ccelerion:. Mr. Lin 2

Physics Workshee Lesson 4: Liner Moion Secion: Nme: 5. Free Fll:. Free fll: b. Elpse Time is c. Accelerion ue o griy: Symbol: g =. The spee increses per secon. The irecion of g is lwys.

3 Physics Workshee Lesson 4: Liner Moion Secion: Nme: 5. Free Fll:. Free fll: b. Elpse Time is c. Accelerion ue o griy: Symbol: g =. The spee increses per secon. The irecion of g is lwys.. An objec is hrew upwr ino he ir wih iniil elociy 30 : e. Displcemen, elociy n ccelerion chnge ue o Griy: (Upwr is he posiie irecion, groun is he origin.) (Downwr is he posiie irecion, sring poin is he origin.) 3 s 0 s = 2 s = = 4 s 1 s = = 5 s = 30 = = = 6 s 7 s + f. Velociy-ime (-) grph is he of he isplcemen-ime (-) grph. Accelerion-ime (-) grph is he of he elociy-ime (-) grph. Velociy-ime (-) grph is he of he ccelerion-ime (-) grph. Displcemen-ime (-) grph is he of he elociy-ime (-) grph. g. The insnneous elociy of n objec flling from res is equl o x. formul:. h. When he flling objec hs iniil elociy ( i ), wheher he objec is moing upwr or ownwr, he ccelerion ue o griy is lwys he sme ( ) he enire ime. The finl elociy ( f ), he insnneous elociy, is equl o + x. formul:, or. i. For ny objec moing in liner moion wih consn ccelerion, he erge elociy () is equl o formul:, Mr. Lin 3

4 Physics Workshee Lesson 4: Liner Moion Secion: Nme: j. A sone is roppe ino eep well. Deermine he spee of he sone he en of 3 secons. p. The obserion eck of skyscrper is 420 m boe he sree. Deermine he ime require for penny o free-fll from he eck o he sree below. k. A sone is hrew ino eep well wih n iniil spee of 5. Deermine he spee of he sone he en of 3 secons. l. A sone is hrew srigh upwr wih n iniil spee of 20. Deermine he spee of he sone he en of 4 secons. (Air resisnce cn be neglece.) q. Gien iniil elociy ( i ) n isplcemen (), n bse on he gien formuls, fin he isplcemenelociy (-) formul. g =!!!!! =!! +!! g! m. Gien iniil elociy ( i ) n ime (), n bse on he following formuls, fin he isplcemen-ime (-) formul.! =! + g =!!!!!! =!! r. A kngroo is cpble of jumping o heigh of 2.62 m. Deermine he ke-off spee of he kngroo. s. If Michel Jorn hs ericl lep of 1.29 m, wh is his ke-off spee? n. A sone is roppe ino eep well n is her o hi he wer 4.0 s fer being roppe. Deermine he eph of he well. o. Upon Chuck is riing he Gin Drop Gre Americ. If Upon free-flls for 2.6 secons, wh will be his finl elociy n how fr will he fll?. A seel bll is lunche upwr ino he ir from he groun wih iniil elociy of 45. How high cn he sone rech? (The ir resisnce cn be neglece.) Mr. Lin 4

5 Physics Workshee Lesson 4: Liner Moion Secion: Nme: 6. Summry of Free Flling Formuls. If you hrow bll srigh upwr spee of 5 from he op of builing, n he builing is 100 m ll. When he bll reurns o you, you shoul no cch i n le he bll coninue flling o he groun wihou hiing ny hing. () How long will i ke for he bll o rech he highes poin? 100 m Summry of Liner Moion Formuls (b) How long will i ke for he bll o hi he groun?. A sone is roppe ino eep well n is her o hi he wer 3.41 s fer being roppe. Deermine he eph of he well. (c) How high is he highes poin relie o he groun? b. A bsebll is poppe srigh up ino he ir n hs hng-ime of 6.25 s. Deermine he heigh o which he bll rises before i reches is pek. (Hin: he ime o rise o he pek is one-hlf he ol hng-ime.) () Wh s he finl spee before he bll hi he groun? c. If Michel Jorn hs ericl lep of 1.29 m, wh is his ke-off spee n his hng ime (ol ime o moe upwrs o he pek n hen reurn o he groun)? e. On he moon, feher is roppe from heigh of 1.40 m. The ccelerion of griy on he moon is Deermine he ime i kes for he feher o fll o he surfce of he moon. Mr. Lin 5

6 Physics Workshee Lesson 4: Liner Moion Secion: Nme: f. A rce cr cceleres uniformly from 10. o 30. in 4.0 secons. Deermine he ccelerion n he erge spee of he cr. l. Jmes hrows ennis bll upwr 10, () how high will he bll rech? (b) How long will i ke for he bll o fll bck o him? (c) Wh s he spee of he bll when i flls bck? g. A rce cr cceleres uniformly from 18.5 o 46.1 in 2.47 secons. Deermine he ccelerion of he cr n he isnce rele. m. Mr. Lin is flling ino he ocen from cliff of 1000-meer heigh, ) how long will i ke for Mr. Lin o rech he surfce of wer? b) Wh is Mr. Lin s spee righ before he flls ino he wer? h. An irplne cceleres own runwy for 32.8 s unil i finlly lifs off he groun. Deermine he isnce rele before ke-off. i. A cr srs from res n cceleres uniformly for 5.21 secons oer isnce of 110 m. Deermine he ccelerion of he cr. n. John foun hzr ro coniion 100-meer in fron of him. If his cr is moing 10, () wh s he minimum consn ccelerion require o oi he nger? (b) How long will i ke for his cr o be fully soppe uner such ccelerion? j. A plne hs ke-off spee of 100 n requires 1000 m o rech h spee. Deermine () he ccelerion of he plne n (b) he ime ken o rech he ke-off spee. o. Olii s cr moes 20 while Vicori s moes 40. Boh crs re esigne o ecelere 5 2 when he brkes re engge. ) Wh re he ski isnces for boh crs? b) Compre heir spees n ski isnces. Wh kin of conclusion cn you rw? k. Jonhn ries o sop his cr o preen collision while his cr is moing 40. The mximum ecelerion he brke cn proie is () Wh is he minimum ski isnce for his cr? (b) Skech grph of ski isnce s. elociy of he cr. p. A ruck cceleres eenly from res unil is spee reches 20. The ruck hen coninues running 20 unil i finishes he 600 m rip. The ol ime for he rip is 40 secons. How long i i ke he ruck o rech is mximum spee? Mr. Lin 6

1. Consider a PSA initially at rest in the beginning of the left-hand end of a long ISS corridor. Assume xo = 0 on the left end of the ISS corridor.

1. Consider a PSA initially at rest in the beginning of the left-hand end of a long ISS corridor. Assume xo = 0 on the left end of the ISS corridor. In Eercise 1, use sndrd recngulr Cresin coordine sysem. Le ime be represened long he horizonl is. Assume ll ccelerions nd decelerions re consn. 1. Consider PSA iniilly res in he beginning of he lef-hnd