Physics 3204 Unit 1 Public Exam Questions NAME: PROJECTILE MOTION
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1 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? s 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 )
2 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? 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
3 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 ) 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
4 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? 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
5 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? m 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
6 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
7 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 ) 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
8 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? m 0.31 m 3.0 m 48 m 54. Which describes a ball thrwn in the air that traces the path shwn?
9 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) y
10 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
11 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 In the diagram belw, a shell is sht frm a cannn, with an initial speed f 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 (a) As a plane flies hrizntally at 65.0 m/s, it releases a package frm a height f m. JUNE (i) What is the hrizntal distance the package travels after it is released? (ii) What is the final velcity f the package? AUGUST 2005
12 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 A parcel is drpped frm a plane flying verhead with a cnstant hrizntal speed 3 f 75 m/s. If the range is m, frm what height was the parcel drpped? Assume air resistance is negligible. Shw wrkings. JUNE 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 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 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 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.
13 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 Explain why beginning jugglers prefer large dwell ratis, while prfessinal jugglers prefer smaller dwell ratis. AUGUST 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 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 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 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 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
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