Physics 3204 Unit 1 Public Exam Questins NAME: PRJECTILE MTIN 1. A rck is thrwn hrizntally ff the rf f a building at 18 m/s. What is the hrizntal cmpnent f the velcity just befre the rck hits the grund? -18 m/s -9.8 m/s 9.8 m/s 18 m/s 2. A juggler thrws a ball at 0.22 m/s at an angle f 60.0 abve the hrizntal. What is the y- cmpnent f the velcity f the ball? 0.11 m/s 0.19 m/s 0.25 m/s 0.44 m/s 3. Hw much time des it take a sccer ball t travel 50.0 m hrizntally if it is kicked with a velcity f 18.4 m/s at an angle f 30.0 abve the hrizntal? 0.184 s 0.319 s 3.14 s 5.43 s 4. A ball is thrwn hrizntally with a speed f 10.0 m/s. If it hits the grund 4.0 s later, what is the magnitude f the y-cmpnent f its velcity just befre it hits the grund? 0 m/s 39 m/s 49 m/s 98 m/s 5. Which expressin represents the time it takes fr a prjectile, with initial velcity v 1, at angle abve the hrizntal, t reach its maximum height? 7. Which mvement is an example f prjectile mtin? climbing a wall running arund a track thrwing a ball ff a cliff walking at a cnstant velcity 7. An egg is thrwn in the air with a velcity f 15 m/s at 45 abve the hrizntal. What is its hrizntal velcity and vertical acceleratin when it reaches the maximum height? hrizntal velcity (m/s) vertical acceleratin (m/s 2 ) 0 0 0-9.8 11 0 11-9.8
8. A prjectile is launched at a 30.0 angle abve the hrizntal with a speed f 20.0 m/s. What is the vertical displacement after 3.0 s? - 74 m - 14 m + 12 m + 31 m 9. If a cin is pushed hrizntally frm a 1.2 m high table and lands 0.68 m frm the base, what was the speed at which it left the table? 1.4 m/s 1.9 m/s 2.8 m/s 5.7 m/s 10. What is the vertical speed cmpnent f a prjectile that is launched at an angle f 20.0 t the hrizntal with an initial speed f 30.0 m/s? 30.0 (cs 20.0 ) 30.0 (sin 20.0 ) 11. Which best represents the velcity cmpnents f a prjectile at its maximum height? 12. A prjectile is sht hrizntally at 40.0 m/s frm a cannn lcated n a cliff 155 m high. Hw many secnds is the prjectile in the air? 0.258 s 5.62 s 11.0 s 31.6 s 13. A ball thrwn int the air has a hrizntal velcity cmpnent f 12 m/s. What is the range f the ball if it lands after 3.0 s? 4.0 m 36 m 51 m 80 m 14. An arrw is fired at 45.5 m/s frm a 5.75 m high tree branch, at an angle f 60 abve the hrizntal. What maximum height, abve the grund, will the arrw reach? 32.1 m 73.4 m 79.1 m 84.9 m
15. A ball is thrwn at a 60 angle t the hrizntal. As sn as the ball is released, the thrwer runs alng level grund, belw the ball, and catches it 3.0 s later. If the thrwer ran 12 m, what was the magnitude f the initial velcity? 2.3 m/s 4.0 m/s 4.6 m/s 8.0 m/s 16. If a ball is thrwn at an initial speed f 8.0 m/s at an angle f 35 abve the grund, what is the speed f the ball when it returns t its riginal height? 4.6 m/s 6.6 m/s 8.0 m/s 9.8 m/s 17. A rck is thrwn hrizntally frm the tp f a hill. If air frictin is negligible, which best represents the hrizntal and vertical acceleratins? 2 2 hrizntal acceleratin (m/s ) vertical acceleratin (m/s ) 0-9.8 0 0 9.8-9.8 9.8 0 18. Which diagram best represents the vertical and hrizntal velcity cmpnents shrtly after a ball is kicked frm a cliff? 19. Which is cnstant fr all prjectiles? hrizntal displacement hrizntal velcity vertical displacement vertical velcity 20. If a cin is tssed hrizntally frm a 1.2 m high table and lands 0.68 m frm the base, what was the speed at which it left the table? 1.4 m/s 1.9 m/s 2.8 m/s 5.7 m/s
21. What is the vertical speed cmpnent f a prjectile that is launched at an angle f 20.0 t the hrizntal with an initial speed f 30.0 m/s? 30.0 (cs 20.0 ) 30.0 (sin 20.0 ) 22. Which best represents the velcity cmpnents f a prjectile at its maximum height? 23. A prjectile is sht hrizntally at 40.0 m/s frm a cannn lcated n a cliff 155 m high. Hw many secnds is the prjectile in the air? 0.258 s 5.62 s 11.0 s 31.6 s 24. A ball thrwn int the air has a hrizntal velcity cmpnent f 12 m/s. What is the range f the ball if it lands after 3.0 s? 4.0 m 36 m 51 m 80 m 25. An arrw is fired at 45.5 m/s frm a 5.75 m high tree branch, at an angle f 60 abve the hrizntal. What maximum height, abve the grund, will the arrw reach? 32.1 m 73.4 m 79.1 m 84.9 m 26. A ball is thrwn at a 60 angle t the hrizntal. As sn as the ball is released, the thrwer runs alng level grund, belw the ball, and catches it 3.0 s later. If the thrwer ran 12 m, what was the magnitude f the initial velcity? 2.3 m/s 4.0 m/s 4.6 m/s 8.0 m/s 27. Which is cnstant fr any given prjectile? hrizntal displacement hrizntal velcity vertical displacement vertical velcity
28. Which demnstrates prjectile mtin? ball rlling up a hill car driving dwn a street hrse gallping arund an val track rck rlling ff the edge f a cliff 29. If a prjectile is launched at an angle f 65 frm the hrizntal at a speed f 2.1 m/s, what is the maximum height reached by the bject? 0.040 m 0.097 m 0.18 m 0.23 m 30. The diagram belw shws a prjectile mving with speed, v, at the tp f its path. Which vectr best represents the acceleratin f the prjectile at psitin A? 31. If a steel ball was launched hrizntally frm a height f 90.0 cm and lands 1.3 m frm the base, what was the initial velcity? 0.30 m/s 2.7 m/s 3.0 m/s 7.1 m/s 31. Which illustrates prjectile mtin? driving a car arund a banked curve drpping a rck frm a building juggling running 32. A ball kicked frm the grund at 12.0 m/s and 28 frm the hrizntal, returns t the grund in 5.0 s. What is the ball s speed just befre it hits the grund? 0 m/s 5.6 m/s 11 m/s 12 m/s 33. If a ball is thrwn at an angle f 35 frm the grund, at a speed f 8.0 m/s, what is the magnitude f the vertical cmpnent f the initial velcity? 4.6 m/s 5.6 m/s 6.6 m/s 8.0 m/s
34. A ball is thrwn hrizntally at 10.0 m/s. If it hits the grund 2.00 s later, what is the magnitude f the x-cmpnent f its velcity just befre it hits the grund? 0 m/s 10.0 m/s 20.0 m/s 30.0 m/s 35. If a cin is pushed hrizntally frm a 1.2 m high table and lands 0.75 m frm the base, what was the speed at which it left the table? 0.38 m/s 1.5 m/s 1.9 m/s 3.0 m/s 36. Which represents the range fr a prjectile launched hrizntally with velcity, v, frm height, h? 37. What is the acceleratin f the prjectile at each pint in the diagram belw? 38. If a prjectile is launched frm grund level with an initial velcity f 65 m/s at 30.0 abve the hrizntal, what is its ttal time in the air? 3.3 s 6.6 s 12 s 13 s 39. An bject is prjected hrizntally frm a 0.95 m high table at a velcity f 12 m/s. Hw far frm the base f the table will the bject hit the flr? 2.3 m 5.3 m 11 m 27 m
40. Tw arrws are launched at the same time with the same initial velcity. Arrw X is fired at an angle f 60 t the hrizntal, and arrw Y is fired at an angle f 45 t the hrizntal. Which best describes the mtin f arrw X cmpared t the mtin f arrw Y? Arrw X has a lnger flight time and lnger hrizntal range. Arrw X has a lnger flight time and shrter hrizntal range. Arrw X has a shrter flight time and lnger hrizntal range. Arrw X has a shrter flight time and shrter hrizntal range. 41. What is the directin f acceleratin fr any prjectile? up dwn left right 42. What is the range f a prjectile launched hrizntally at 15 m/s with a flight time f 4.5 s? 3.3 m 59 m 68 m 99 m 43. A rck is launched with a hrizntal velcity f 3.0 m/s and a vertical velcity f 4.0 m/s. What is the magnitude f the velcity f the rck at its maximum height? 0 m/s 3.0 m/s 4.0 m/s 5.0 m/s 44. A prjectile is launched frm grund level with an initial velcity f 65 m/s at an angle f 60.0 abve the hrizntal. Hw much time des it take t return t grund level? 2.4 s 3.4 s 5.6 s 11 s 45. What is the maximum height f a prjectile launched at 120 m/s at an angle f 30.0 abve the hrizntal. 3.1 m 5.3 m 180 m 550 m 46. A glfer hits a glf ball with a velcity f 75 m/s at an angle f 15 t the hrizntal. What are the hrizntal and vertical cmpnents f the initial velcity? hrizntal velcity (m/s) vertical acceleratin (m/s 2 ) 0 75 19 72 72 19 75 0 47. A stne is thrwn hrizntally frm the edge f a cliff and lands in the water belw. If the stne is in the air fr 2.8 s, hw high is the cliff? 14 m 27 m 38 m 77 m
48. A swimmer runs hrizntally ff the end f a wharf at 1.2 m/s and lands in the water 2.4 s later. Hw far des she have t swim t get back t the wharf? 0.50 m 2.0 m 2.9 m 5.8 m 49. A ftball is kicked and fllws a parablic path. Which represents the velcity f the ftball at its maximum height? 50. A plane flying hrizntally with a speed f 50.0 m/s at a height f 161 m, drps a package when it is directly ver a tent. Hw far frm the tent will the package land? 161 m 169 m 287 m 1640 m 51. A stne is thrwn upward frm the tp f a building at an angle f 30.0 t the hrizntal with an initial speed f 20.0 m/s. If the stne lands n the grund 4.22 s later, hw tall is the building? 14.2 m 21.5 m 45.1 m 129 m 52. A persn runs hrizntally ff the end f a cliff and lands in the water 1.3 s later. Hw high is the cliff? 1.6 m 6.4 m 8.3 m 13 m 53. A marble is launched hrizntally frm a table at 12 m/s and lands n the flr 0.25 s later. What is the range f the marble? 0.021 m 0.31 m 3.0 m 48 m 54. Which describes a ball thrwn in the air that traces the path shwn?
The acceleratin f the ball at the tp f its mtin is zer. The acceleratin f the ball keeps changing. The velcity f the ball at the tp f its mtin is zer. The velcity f the ball keeps changing. 55. A prjectile is launched with an initial velcity f 14 m/s at an angle f 25 abve the hrizntal. What is the speed f the prjectile at its maximum height? 0 m/s 5.9 m/s 13 m/s 14 m/s 56. A glf ball is hit frm grund level with an initial velcity f 63 m/s at an angle f 31 0 abve the hrizntal. Hw lng will it take the ball t hit the grund? 3.3 s 5.5 s 6.6 s 11 s 57. A marble is launched hrizntally frm the tp f a building. Hw far has the marble fallen when the vertical cmpnent f its velcity is 16 m/s [dwn]? 0.82 m 1.6 m 13 m 26 m 58. Which represents the velcity cmpnents f a prjectile? 59. An arrw is sht hrizntally with a velcity f 12 m/s. If the range is 24 m, hw lng is the arrw in the air? 0.50 s 2.0 s 12 s 24 s 60. What are the hrizntal and vertical cmpnents f a prjectile launched with a velcity f 16.0 m/s at an angle f 40.0 abve the hrizntal? v (m/s) x v (m/s) 10.3 12.3 12.3 10.3 12.3 16.0 16.0 12.3 y
61. A sccer ball is kicked with a speed f 15.0 m/s at 30.0 abve the grund. What is its height at 0.60 s? 1.6 m 2.7 m 6.0 m 6.3 m 62. A catapult fires a large stne as shwn. What is the maximum height reached by the stne? 1.62 m 11.2 m 51.3 m 103 m 63. A glf ball is launched with an initial velcity, v, at an angle abve the grund. Which expressin describes the time required fr the glf ball t land n the grund? 64. Which represents the vertical cmpnent f the velcity at pints X, Y and Z fr the bject fllwing the parablic path shwn belw? X Y Z dwnward dwnward dwnward dwnward zer upward upward upward upward upward zer dwnward
65. What is the range f a ball thrwn hrizntally at 12 m/s if its time f flight is 3.0 s? 0.25 m 4.0 m 12 m 36 m 66. An arrw is fired frm a bw with an initial velcity f 18.0 m/s at an angle f 35.0 abve the hrizntal. Hw far, hrizntally, has the arrw travelled in 1.45 s? 12.4 m 15.0 m 21.4 m 26.1 m 67. A ball is launched with an initial velcity f 28.0 m/s at 40.0 abve the hrizntal. Hw lng des it take fr the ball t reach its maximum height? 1.68 s 1.84 s 2.19 s 2.86 s 68. A glf ball is launched at an angle f 15.0 frm the grund. What was the initial speed f the ball if it lands n the grund 3.42 s later? 16.8 m/s 17.3 m/s 64.7 m/s 129 m/s 69. A cannnball is fired n Earth at an angle f 45 abve the grund and has a range f 125 m. If 2 the same cannnball is fired n Jupiter where g = 24.6 m/s, which cmbinatin f changes wuld have t ccur s that the cannnball still has a range f 125 m? Launch Angle Launch Speed decrease same increase same same decrease same increase 1. If a rck is thrwn hrizntally frm a 45.0 m high cliff with a velcity f 20.0 m/s, hw far frm the base f the cliff des the rck hit the grund? JUNE 2004 2 2. In the diagram belw, a shell is sht frm a cannn, with an initial speed f 4.4 10 m/s, at 30.0 frm the deck f a ship. If the ship is at rest and the shell is launched 20.0 m abve sea level, hw far will the shell travel hrizntally frm its riginal psitin int the sea? Assume frictin is negligible. JUNE 2004 3. (a) As a plane flies hrizntally at 65.0 m/s, it releases a package frm a height f 3 1.20 10 m. JUNE 2005 4. (i) What is the hrizntal distance the package travels after it is released? (ii) What is the final velcity f the package? AUGUST 2005
5. The diagram belw represents a cannn lcated n a 145 m high cliff. If the cannn fires a cannnball at a 25 angle belw the hrizntal, with an initial velcity f 75.0 m/s, hw far will the cannnball travel in the hrizntal directin befre it hits the grund? AUGUST 2005 6. A parcel is drpped frm a plane flying verhead with a cnstant hrizntal speed 3 f 75 m/s. If the range is 1.2 10 m, frm what height was the parcel drpped? Assume air resistance is negligible. Shw wrkings. JUNE 2006 7. A strike in baseball ccurs between 0.50 m and 1.0 m directly abve hme plate. A pitcher, 18.0 m frm hme plate, thrws a ball with an initial velcity f 17.0 m/s at 15 abve the hrizntal. If the ball is released 2.0 m abve the grund, will the pitch be a strike? Shw wrkings. JUNE 2006 8. A ball rlls ff an incline at 20.0 m/s, as shwn in the diagram belw. At what hrizntal distance frm the wall will the ball hit the grund? AUGUST 2006 9. A juggler thrws a ball upward at an angle f 65 t the hrizntal, with an initial speed f 3.2 m/s. Hw far apart shuld the juggler hld her hands in rder t catch the ball at the same level frm which it was thrwn? JUNE 2007 10. In the diagram belw a dart that is in line with the midpint f a 0.26 m high target, is thrwn tward the target with a speed f 6.0 m/s at a 30.0 angle. Determine whether the dart will hit the target if it is 3.0 m away.
11. In a labratry activity, students launch a ty car hrizntally ff a table with a speed f 3.6 m/s as shwn. If a 0.25 m wide target is placed 1.0 m frm the base f the table, determine whether the car will hit the target. AUGUST 2007 12. Explain why beginning jugglers prefer large dwell ratis, while prfessinal jugglers prefer smaller dwell ratis. AUGUST 2007 13. Ball A is rlled dwn a 30.0 ramp n a 1.0 m high table, and exits the table hrizntally at 2.0 m/s. A secnd identical ball B, is rlled dwn the same ramp but exits the table with a speed f 2.0 m/s at a 30.0 angle. Calculate which ball will travel the greatest hrizntal distance frm the base f the table. JUNE 2008 14. A fish sees a bug n a tree branch that is 4.1 m abve the water, and tries t knck it dwn by shting a jet f water with an initial velcity f 11.7 m/s at an angle f 35 t the surface f the water. With the aid f a diagram, calculate whether it is pssible fr the angler fish t hit the bug. JUNE 2008 15. A glfer hits a glf ball frm grund level with a speed f 25 m/s at 35 abve the hrizntal. Calculate the magnitude f the velcity f the ball when it has travelled a hrizntal distance f 42 m. AUGUST 2008 16. A ball is thrwn frm a 75.0 m high cliff, with an initial velcity f 82.0 m/s, at an angle f 53.0 abve the hrizntal. Calculate the range f the ball when it hits the grund belw. JUNE 2009 17. A ball is thrwn with an initial velcity f 82.0 m/s at an angle f 53.0 belw the hrizntal as shwn. Calculate the range f the ball if it is thrwn frm a height f 10.0 m. AUGUST 2009