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 go over hem during he nex class session). I. Consan Velociy (vs speed) How o answer a quesion in erms of how i was wrien 1. *A horse caners away from is rainer in a sraigh line moving 150m in 14s. I hen urns abruply and gallops halfway back in 4.5s. a. Wha is is average speed? (12.16 m/s) b. Wha is is average velociy for he enire rip? (4.05 m/s) 2. *A 1 p.m., a car, raveling a a consan velociy of 94 Km/h oward he wes, is 17 Km o he wes of your school. Where will i be a 3:30 p.m.? (252 km Wes of he school) 3. *Suppose he car in he previous problem sared 17 Km eas of your school a he same ime, moving in he same direcion wih he same velociy. a. Where would i be a 3:30 p.m.? (218 km W of school) b. When would i be a your school? (.18 hr laer or 10.85 min laer or ~1:10 pm) II. Linear Acceleraed Moion 4. *A bus is moving a 25 m/s. The driver seps on he brakes, and he bus sops in 3.0 s. a. Wha is he average acceleraion of he bus while braking? (-8.33 m/s/s) b. Suppose he bus ook wice as long o sop. How would he acceleraion compare o he acceleraion you found above? (1/2 as much; -4.17 m/s/s) 5. *A car acceleraes a a consan rae from 15 m/s o 25 m/s while i ravels 125 m. How long does his moion ake? (6.25 s) 6. *Saring from res, a racecar moves 110 m in he firs 5.0 s of uniform acceleraion. Wha is he car s acceleraion? (8.8 m/s/s) 7. *An airplane acceleraes from a velociy of 21 m/s a he consan rae of 3.0 m/s 2 over + 535 m. a. Wha is is final velociy? (60.42 m/s) b. The pilo sops he same plane in 484 m using a consan acceleraion of 8.0 m/s 2. How fas was he plane moving before braking began? (88 m/s) 8. An Indy-500 racecar s velociy increases from 4.0 m/s o 36 m/s over a 4.0-s period. Wha is is average acceleraion? (8 m/s/s) 9. A car is coasing backwards down a hill a 3.0 m/s when he driver ges he engine sared. Afer 2.5 s, he car is moving uphill a a speed of 4.5 m/s. Wha is he car s average acceleraion? (3 m/s/s) 10. A golf ball rolls up a hill oward a Pu-Pu hole. a. If i sars wih a velociy of +2 m/s and acceleraes a a consan rae of 0.5 m/s 2, wha is is velociy afer 2 s? (1 m/s) b. If he acceleraion occurs for 6 s, wha is is final velociy? (-1 m/s) c. In words, describe he moion of he ball. 11. If a car acceleraes from res a a consan 5.5 m/s 2, how long will be required o reach 28 m/s? (5.09 s) 12. A bike rider acceleraes consanly o a velociy of 7.5 m/s during 4.5 s. The bike s displacemen is 19 m. Wha was he iniial velociy of he bike? (0.94 m/s) 13. A driver brings a car raveling a 22 m/s o a full sop in 2.0 s. Assume is acceleraion in consan. a. Wha is he car s acceleraion? (-11 m/s/s) b. How far does i ravel before sopping? (22 m/s) 14. A car is iniially sliding backwards down a hill a 2.5 m/s. The driver guns he car. By he ime he car s velociy is +3.5 m/s, i is 3.2 m from is saring poin. Find he acceleraion. (+0.94 m/s/s) 15. A spacecraf raveling a a velociy of +1210 m/s is uniformly acceleraed a 150 m/s 2. If he acceleraion lass for 8.68 s, wha is he final velociy of he craf? Explain your resuls in words. (-92 m/s) 16. * A race driver makes a pi sop o refuel. Afer refueling, he leaves he pi area wih an acceleraion of 6 m/s/s and afer 4 s he eners he main speedway. A he same insan he eners he speedway, anoher race-car ha is on he speedway and raveling wih a consan speed of 70 m/s overakes and passes he enering car. If he enering car mainains is acceleraion, how much ime is required for i o cach he oher car? (15.33 s, hin: boh d and are he same for boh cars) III. Acceleraion due o Graviy 17. *A brick falls freely from a high scaffold. a. Wha is is velociy afer 4.0 s? (-39.2 m/s) b. How far does he brick fall during he firs 4.0 s? (78.4 m) 18. *If you drop a golf ball, how far does i fall in ½ s? (1.23 m) 19. *A man falls 1.0 m o he floor. a. How long does he fall ake? (0.45 s) b. How fas is he going when he his he floor? (-4.43 m/s) 1
20. *During a baseball game, a baer his a high pop-up. If he ball remains in he air for 6.0 s, how high does i rise? (44.1m) 21. *A picher hrows a baseball sraigh up wih an iniial speed of 27 m/s. a. How long does i ake he ball o reach is highes poin? (2.76 s) b. How high does he ball rise above is release poin? (37.19 m) 22. Kyle is hovering in a helicoper when he drops a bag ou he window. When he bag has fallen 2.0 s, a. Wha is he bag s velociy?(-19.6 m/s) b. How far has he bag fallen? (-19.6 m) 23. Kyle is flying he same helicoper and i is rising a 5.0 m/s when he releases he bag. Afer 2.0 s, a. Wha is he bag s velociy? (-14.6 m/s) b. How far has he bag fallen? (-9.6 m) c. How far below he helicoper is he bag? (19.6 m below he helicoper) 24. Kyle s helicoper now descends a 5.0 m/s as he releases he bag. Afer 2.0 s, a. Wha is he bag s velociy? (-24. 6 m/s) b. How far has he bag fallen? (-29.6 m) c. How far below he helicoper is he bag? (19.6 m below he helicoper) 25. *Calculae how long i akes King Kong o fall down from he op of he Empire Sae Building (380m) and his velociy jus before hiing he ground. (8.81 sec, -86.34 m/s) 26. *A ballplayer caches a ball 3.6s afer hrowing i verically upward. a. Wha speed did he hrow i wih? (17.64 m/s) b. Wha heigh did i reach? (15.88 m) 27. *A helicoper is ascending verically wih a speed of 5.5 m/s. A a heigh of 100m above he Earh, a package is dropped from a window. How much ime does i ake for he package o hi he ground? (5.11 sec and 3.99 sec) 28. *A falling sone akes 0.3s o ravel pas a window ha is 2.2 m all. From wha heigh above he op of he window did he sone fall? (1.75 m) 29. *Suppose you adjus your garden hose nozzle for a hard sream of waer. You poin he nozzle verically upward a a heigh of 1.5m above he ground. When you quickly move he nozzle away from he verical, you hear he waer sriking he ground nex o you for anoher 2s. Wha is he speed as i leaves he nozzle? (9.05 m/s) 30. *A person falls from a fourh sory window 15m above a fireman s safey ne. The survivor sreches he ne 1m before coming o res. a. Wha was he average deceleraion experienced by he survivor as he was slowed by he ne? (147.04 m/s/s) b. Wha could you do o he ne o make he deceleraion smaller/safer? IV. Vecors and Moion 31. *Afer walking 11 km due norh (90 0 ) from camp, a hiker hen walks 21 km due eas (0 0 ). a. Wha oal disance was walked by he hiker? (32 Km) b. Deermine he oal displacemen from he saring poin. (23.71 Km, 27.6 0 ) 32. While flying due eas a 120 km/h, an airplane is also carried norhward a 45 km/h by he wind blowing due norh. Wha is he plane s resulan velociy? (128.16 Km/h, 20.56 0 ) 33. *An airplane flies oward 149 o a 525 km/h. Wha is he componen of he plane's velociy a. oward 90 o? (270.39 Km/h) b. oward 180 o? (450.01 Km/h) 34. *A moorboa heads sraigh across a river a 16 m/s. The river flows downsream a 9.0 m/s. a. Wha is he resulan velociy (speed and direcion as aken from he shore) of he boa? (18.36 m/s, 60.64 0 ) b. If he river is 136 m wide, how long does i ake he moorboa o reach he oher side? (8.5 s) c. How far downsream is he boa when i reaches he oher side of he river? (76.5 m) 35. A moorboa ravels a 8.5 m/s. I heads sraigh across a river 110 m wide. a. If he waer flows downsream a a rae of 3.8 m/s, wha is he boa's resulan velociy, relaive o he shore? (9.31 m/s, 65.91 0 ) b. How long does i ake he boa o reach he opposie shore? (12.94 s) 36. A boa heads direcly across a river 41 m wide a 3.8 m/s. The curren is flowing downsream a 2.2 m/s. a. Wha is he resulan velociy, relaive o he shore, of he boa? (4.39 m/s, 59.93 0 ) b. How much ime does i ake he boa o cross he river? (10.79 s) c. How far downsream is he boa when i reaches he oher side? (23.74 m) 37. Sue rows a boa direcly across a river a 3.2 m/s. The river flows a 12 m/s and is 200m wide. a. Wha velociy, relaive o he shore, does Sue s boa go? (12. 42 m/s, 14.93 0 ) b. How long does i ake Sue o cross he river? (62.5 s) c. How far downsream is Sue's landing poin? (750 m) d. How long would i ake Sue o cross he river if here were no curren? (he same amoun of ime as he curren is perpendicular o he boa s velociy and, herefore, will no affec he boa s velociy direced direcly across he river) 2
VI. Projecile Moion (consan horizonal velociy wih consan verical acceleraion) 38. *A sone is hrown horizonally a a speed of + 5.0 m/s off he op of a cliff 78.4m high. a. How long does i ake he sone o reach he boom of he cliff? (4 s) b. How far from he base of he cliff does he sone srike he ground? (20 m) c. Wha are he horizonal and verical componens of he velociy of he sone jus before i his he ground? (v yf = -39.2 m/s, v x = 5 m/s as here is no acceleraion acing on he projecile in he horizonal dxn) 39. An auo, moving oo fas on a horizonal srech of mounain road, slides off he road, falling ino deep snow 43.9 m below he road and 87.7 m beyond he edge of he road. a. How long did he auo ake o fall? (2.99 s) b. How fas was i going when i lef he road in m/s and km/h? ( horizonal 29.30 m/s and 105.48 Km/h) c. Wha was is acceleraion 10 m below he edge of he road? (sill 9.8 m/s/s, down) 40. A seel ball rolls wih consan velociy across a ableop 0.950 m high. I rolls off and his he ground 0.352m horizonally from he edge of he able. How fas was he ball rolling on he able?(0.8 m/s) 41. A rude ouris hrows a peach pi 7m/s horizonally ou of he cage of an elevaor. a. If he elevaor isn moving, how long will i ake he pi o reach he ground, 17m below? (1.86 m) b. How far horizonally will he pi land? (13.04 m) c. Repea a and c if he elevaor was moving up wih a velociy of 2m/s. (2.08 s, 14.56 m) 42. *A player kicks a fooball from ground level wih a velociy of 27m/s a an angle of 30 0 above he horizonal. Find a. The oal ime he ball is in he air. (2.76 s) b. The disance he ball ravels before i his he ground. (64.41 m) c. Is maximum heigh. (9.33 m) 43. Repea he previous problem for he same player now kicking he ball wih he same speed, bu a 60 0 o he horizonal. (4.77 s, 64.41 m, 27.88m) 44. Repea he above problem (a he 60 degree angle) for someone on he moon where he acceleraion due o graviy is 1.62m/s/s, down. (28.86 s, 389.67 m, 168.71 m) 45. In baseball, he picher s mound is raised o compensae for he fac ha he ball falls downward as i ravels from he picher o he baer. If baseball were played on he moon, would he picher s mound have o be higher han, lower han, or he same heigh as he picher s mound on Earh? (lower he ball wouldn fall as fas as i would on Earh) 46. *A projecile is sho from he edge of a cliff 140 m above he ground level wih an iniial speed of 100 m/s a an angle of 37.0 wih he horizonal a. Deermine he ime aken by he projecile o hi he ground. (14.28 s) b. Deermine he range of he projecile as measured from he base of he cliff. (1.14 E3 m) c. A he insan jus before he projecile his he ground, find he oal velociy i his he ground wih (112.87 m/s, 44.96 0 ) Challenging HW problems 47. In a snow skiing long-jump compeiion, he skiers ski down a ramp ha ils up a he end wih a 63-degree angle o he horizonal. Wih he launch angle, a skier aains a heigh of 13m above he edge of he ramp. Wha is he skier s launch speed? (17.92 m/s) 48. A rocke is fired a a speed of 75 m/s from ground level a an angle of 60 degrees o he horizonal. The rocke is fired oward a 100m all wall, which is locaed 270 m away. By how much does he rocke clear he wall? (113.62m above he wall) 49. When a cannon is aimed a an angle of 36 0 above he horizonal, a cannon ball lands 140 m down range. Wha was he muzzle velociy of he cannon? (37.98 m/s) 50. A diver springs upward from a diving board ha is 3m above he surface of he waer. A he insan she conacs he waer her speed is 8.90 m/s and her body makes an angle of 75.0 0 o he surface of he waer. a. Deermine her iniial velociy (speed and dxn) ha she lef he board wih. (4.52 m/s, 59.41 0 ) b. How much ime did she spend in he air? (1.27 s) V. Moion Graphs (on separae paper---prin i off onigh, please) All problems below you will do on your own (you can ask me for help bu I will no be going over hem in class). Concepual 1. Wha quaniy can be obained from he slope of a posiion-ime graph? 2. Does a car speedomeer measure speed, velociy, or boh? 3. Can you conclude a car is no acceleraing if is speedomeer indicaes a seady 50Km/hour? 4. Is he acceleraion of a projecile equal o zero when i reaches he op of is rajecory? 5. A person is riding a bike. Can he person have a a. Consan speed and a changing velociy? Jusify your answer. b. Consan velociy and a changing speed? Jusify your answer. 3
6. A NASA eam is presen in Cape Canaveral, Florida, o oversee a space shule launch. The NASA eam hen hops on an airplane and ravels o Edwards Air Force Base in California o supervise he shule landing (which is a week laer as i has been orbiing he earh for awhile). Which group of people, he asronaus or he NASA eam, had he greaer displacemen? 7. A walker and a runner leave your fron door a he same ime. They move in he same direcion a differen consan velociies. Draw he posiion-ime graphs of each. 8. A physics book is moved once around he perimeer of a square able of dimensions 1.0 m by 2.0 m. a. If he book ends up a is iniial posiion, wha is is displacemen? b. Wha is he disance raveled? 9. If he average velociy of a paricle is zero in some ime inerval, wha can you say abou is displacemen for ha inerval? 10. Wha quaniy is represened by he area under a velociy-ime curve? 11. Look a he figure o he righ a. Wha kind of moion does his graph represen? d b. Wha does he slope of he line represen? 12. The figure o he lower righ is a posiion-ime graph of wo people running. a. Describe he posiion of runner A relaive o runner B a he y-inerceps. P b. Which runner is faser? c. Wha occurs a poin P and beyond? A d B 13. Look a he figure o he righ. a. Wha kind of moion does his graph represen? v b. Wha does he area under he curve of he graph represen? 14. Look a he figure o he righ. a. Wha kind of moion does his graph represen? v b. Wha does he area under he curve of he graph represen? 15. If a velociy-ime curve is a sraigh line parallel o he -axis, wha can be deduced abou he acceleraion? 16. Refer o he figure o he righ o find he disance he moving objec ravels beween a. = 0 s and = 5 s. 30 b. = 5 s and = 10 s. c. = 10 s and = 15 s. V (m/s) 20 d. = 0 s and = 25 s. 10 0 5 10 15 20 25 30 (s) 17. Use he above figure (in he previous quesion) o find he acceleraion of he moving objec a. During he firs 5 s of ravel. (6 m/s/s) b. Beween he fifh and he enh second of ravel. (0 m/s/s) c. Beween he enh and he fifeenh second of ravel. (-2 m/s/s) d. Beween he wenieh and weny-fifh second of ravel. (-4 m/s/s) 18. Explain why an aluminum ball and a seel ball of similar size and shape, dropped from he same heigh, reach he ground a he same ime (assume no air fricion). 4
19. Describe he changes in he velociy of a ball hrown sraigh up ino he air. Then describe he changes in is acceleraion. 20. Rock A is dropped from a cliff; rock B is hrown downward from he same heigh a he same ime. a. Which arrives firs? b. When hey reach he boom, which rock has a greaer velociy? c. Which has a greaer acceleraion? 21. A rock is hrown verically upward wih a speed v 0 from he edge of a cliff. A second rock is hrown verically downward wih he same iniial speed. Which rock has he greaer speed when i reaches he ground? C 22. Consider he ball's rajecory in he figure o he righ. B D a. Where is he verical velociy he greaes? b. Where is he greaes horizonal velociy? A E c. Where is he verical velociy leas? 23. A rifle a some heigh above he ground fires a bulle parallel o he ground. A he same insan and a he same heigh, a second bulle is dropped from res. In he absence of air resisance, which bulle his he ground firs? 24. A sone is hrown horizonally from he op of he cliff and evenually his he ground below. A second sone is dropped from res from he same spo off he cliff. Describe he differences, if any, beween he wo regarding heir a. Displacemens (boh verical and horizonal) b. Velociy upon impac (boh verical and horizonal) c. Time in fligh 25. An airplane pilo flying a consan velociy and aliude drops a flare. Ignoring air resisance, where will he plane be relaive o he flare when he flare his he ground? 26. Sam hrows a baseball horizonally from he op of a cliff. If Sam hrows he baseball wih higher speed a. how will he ime i akes o hi he ground be affeced? b. how will he horizonal disance be affeced? 27. *A zoologis sanding on a cliff aims a ranquilizer gun direcly a a monkey hanging from a disan ree branch. The barrel of he gun is horizonal. Jus as he zoologis pulls he rigger, he monkey les go of he branch and begins o fall. Will he dar hi he monkey? Problems 28. You and a friend each drive 50 km. You ravel a 90 km/h, your friend a 95 km/h. How long will your friend wai for you a he end of he rip? 29. Ann is driving down a sree a 10 m/s. Suddenly a child runs ino he sree. If i akes Ann 0.75 s o reac and apply he brakes, how many meers will she have moved before she begins o slow down? 30. A car raveling 90 Km/h srikes a ree. The fron end of he car compresses and he driver comes o a res afer raveling 0.70 m. Wha is he average acceleraion of he driver during he collision? How many g s is his? (- 446.43 m/s/s, ~45 g s) 31. A kangaroo jumps o a verical heigh of 2.8m. How long was i in he air before reurning o Earh? (1.51 s) 32. A ballplayer caches a ball 3.6s afer hrowing i verically upward (from he same heigh). a. Wha speed did he hrow i? (+17.64 m/s) b. Wha heigh did i reach? (15.88m) 33. A baer his a pop-up sraigh up over home plae wih an iniial velociy of 20 m/s. The ball is caugh by he cacher a he same heigh from which i was hi. Wha is he velociy of he ball when i lands in he cacher's mi? (-20m/s) 34. A sone is hrown direcly upward wih a speed of 22m/s. a. Wha is is velociy a a heigh of 15.0m? (+13.78 m/s AND 13.78 m/s) b. How long is required o reach his heigh? (0.84 s AND 3.65 s) c. Why are here wo answers for par b? (you SHOULD have wo answers for par b!!) 35. A sone is hrown verically upward wih a speed of 12m/s from he edge of a cliff 75m high. a. How much laer does i reach he boom of he cliff? (5.32 s) b. Wha is is velociy jus before hiing he ground? (-40.17 m/s) c. Wha oal disance did i ravel? (89.70 m) 36. A baseball is raveling verically upward in he air. When i is 25m off he ground, i has a velociy of 12.0m/s. If he ball was hrown from ground level a. Wha was is iniial speed? (25.18 m/s) b. How much earlier was i hrown? (1.34 seconds earlier) c. Wha aliude does i reach? (32.35 m) d. When does i reach he sree again? (5.14 s afer i lef he ground) 5
37. *A drag-racing car saring from res speeds up for 402m wih an acceleraion of 17.0m/s/s. A parachue opens, slowing he car down wih an acceleraion of -6.10m/s/s. How fas is he car moving 350m afer he parachue opens? (96.94 m/s) 38. *A cemen block accidenally falls from res from he ledge of a 53m all building. When he block is 14m above he ground, a man who is 2.0m all looks up and noices he block direcly above him. How much ime (a mos) does he have o ge ou of he way? (0.40 s) 39. *A roof ile falls from res from he op of a building. An observer in he building noices ha i akes 0.20s for he ile o pass her window whose heigh is 1.6m. How far from he op of his window is he roof? (2.51m) 40. *A log is floaing on swifly moving waer. A sone is dropped from res from a 75m high bridge and lands on he log as i passes under he bridge. If he log moves wih a consan speed of 5m/s, wha is he horizonal disance beween he log and he bridge when he sone is released? (19.55 m) 41. *A fooball player saring from res a he line of scrimmage acceleraes along a sraigh line for 3.0s. During a negligible amoun of ime, he changes his acceleraion o a value of 1.1m/s/s. Wih his acceleraion he coninues in he same direcion for anoher 2s unil he reaches a speed of 6.4m/s. Wha was his acceleraion during he iniial 3s period? (1.4 m/s/s) Vecors and Projecile Moion (draw projecile diagrams for ALL problems --wih all your horizonal and verical variables clearly labeled). 42. An airplane flies a 200 km/h. Wha is he resulan velociy of he airplane if a. i experiences a 50 km/h ail wind (pushing i from behind)? b. i experiences a 50 km/h head wind (pushing i from he fron)? 43. You walk 30m Souh and hen 30m Eas. Wha is your resulan displacemen from your sar poin? 44. *Dave can row a boa across a river a 4.0 m/s. The river flows a 6.0 m/s and is 360 m across. a. In wha direcion, relaive o he shore, does Dave's boa go? (33.69 0 o he shore) b. How long does i ake Dave o cross he river? (90s) c. How far downsream is Dave's landing poin? (540m) d. How long would i ake Dave o cross he river if here were no curren? (90 s) 45. *Diane can row a boa a 8.0 m/s. The river flows a 6.0 m/s. If he river is 240 m wide, wha angle does she need o seer he boa o reach a poin direcly across he river from where she launched? (41.41 0 relaive o he shore) 46. *A bulle is fired from a rifle ha is held 1.6m above he ground in a horizonal posiion. The firing speed of he bulle is 1100m/s. Find he horizonal disance raveled by he bulle. (627m) 47. *The cliff divers of Acapulco push off horizonally from rock plaforms abou 35 m above he waer, bu hey mus clear rocky oucrops a waer levels ha exend ou ino he waer 5.0 m from he base of he cliff direcly under heir launch poin. Wha minimum push-off speed is necessary o do his? (>1.87m/s) 48. *A huner aims direcly horizonally a a arge (on he same level) 140 m away. If he bulle leaves he gun a a speed of 280 m/s, by how much (verical) will i miss he arge? (-1.225m) 49. * A dar player hrows a dar horizonally a a speed of + 12.4 m/s. The dar his he board 0.32 m below he heigh from which i was hrown. How far away is he player from he board? (3.17m) 50. *A projecile is fired wih an iniial speed of 75.2 m/s a an angle of 34.5 above he horizonal on a long fla firing range. Deermine a. The maximum heigh reached by he projecile. (92.56m) b. The oal ime in he air. (8.69s) c. The oal horizonal disance covered (he range). (538.56m) d. The verical and horizonal velociy of he projecile 1.50 s afer firing. (x= 61.97m/s, y= 27.89m/s) 51. *A projecile is sho from he edge of a 200m all cliff wih an iniial speed of 162 m/s a an angle of 42 wih he horizonal. Deermine a. The ime aken by he projecile o hi he ground. (23.83s) b. The range of he projecile as measured from he base of he cliff. (2.87 E3m) c. A he insan jus before he projecile his he ground, find he horizonal and he verical componens of is velociy. (x= 120.39m/s, y= -125.18m/s) 52. *An Olympic long jumper is capable of jumping a horizonal disance of 8.0 m. Assuming his horizonal speed is 9.1 m/s as he leaves he ground, how long is he in he air and how high does he go? Assume ha he lands sanding uprigh, he same way he lef he ground. (0.88s, 0.95m high) 53. * A fire hose ejecs a sream of waer a an angle of 35 degrees o he ground. The waer leaves he nozzle wih a speed of 25m/s. Assuming he waer behaves like a projecile, how far from he building should he fire hose be locaed o hi he highes possible fire? (29.90m away) 6
54. *During a baseball game, a fly ball is hi o cener field and is caugh 142.64m from home plae. A momen afer he ball was caugh by he cener-fielder, a runner on 3 rd base akes off for home and he cener fielder hrows he caugh ball o he cacher sanding on home plae (he hrow occurs simulaneously wih he runner beginning o run). The runner runs he 27.43m o home plae wih an average velociy of 7.84m/s, while he baseball is hrown wih a velociy of 40.17m/s a 30 0 o he horizonal. Which reaches home firs: The runner or he ball and by how much ime? (he runner by 0.6s) 55. *A baseball is hi ino he air wih an iniial speed of 36.6 m/s a an angle of 50 degrees above he horizonal. A he same ime he ball is hi, he cener fielder sars running away from he baer and caches he ball 0.914m above he level a which i was hi (he ball was on is way down when i was caugh). If he cener fielder is iniially 110m from home plae, wha mus be his average speed? (4.20m/s) 56. *A baseball is hi wih a velociy of 30m/s a an angle of 53 0 wih he horizonal. Immediaely an oufielder runs 4m/s oward he infield and caches he ball a he same heigh i was hi. Wha was he original disance beween he baer and he oufielder? (107.82m) 7