Name ____________________ Mr. Willie Hastings Regents Physics Midterm Practice-1 Kinematics 1. A car travels between the 100.-meter and 250.-meter highway markers in 10. seconds. The average speed of the car during this interval is 5. A rock dropped off a bridge takes 5 seconds to hit the water. Approximately what was the rock's velocity just before impact? A) 10. m/s B) 15 m/s A) 5 m/s B) 2 m/s C) 25 m/s D) 35 m/s C) 50 m/s D) 125 m/s 2. A race car starting from rest accelerates uniformly at a rate of 4.90 meters per second 2. What is the car’s speed after it has traveled 200. meters? A) 1960 m/s B) 62.6 m/s C) 44.3 m/s D) 31.3 m/s 6. Which graph best represents the motion of a freely falling body near the Earth's surface? A) B) C) D) 3. Base your answer to the following question on the information below: A 10.-kilogram object, starting from rest, slides down a frictionless incline with a constant acceleration of 2.0 m/sec2 for four seconds. During the 4.0 seconds, the object moves a total distance of A) 32 m B) 16 m C) 8.0 m D) 4.0 m 4. A bicyclist accelerates from rest to a speed of 5.0 meters per second in 10. seconds. During the same 10. seconds, a car accelerates from a speed of 22 meters per second to a speed of 27 meters per second. Compared to the acceleration of the bicycle, the acceleration of the car is A) less C) the same B) greater 7. A rock falls from rest off a high cliff. How far has the rock fallen when its speed is 39.2 meters per second? [Neglect friction.] A) 19.6 m B) 44.1 m C) 78.3 m D) 123 m 8. After a model rocket reached its maximum height, it then took 5.0 seconds to return to the launch site. What is the approximate maximum height reached by the rocket? [Neglect air resistance.] A) 49 m B) 98 m C) 120 m D) 250 m 9. Which pair of graphs represents the same motion of an object? A) B) C) D) Base your answers to questions 10 through 12 on the graph below which represents the relationship between speed and time for an object in motion along a straight line. 11. During the interval t = 8 seconds to t = 10 seconds, the speed of the object is A) zero B) increasing C) decreasing D) constant, but not zero 12. What is the total distance traveled by the object during the first 3 seconds? 10. What is the acceleration of the object during the time interval t = 3 seconds to t = 5 seconds? A) 5.0 m/sec 2 B) 7.5 m/sec 2 C) 12.5 m/sec 2 D) 17.5 m/sec 2 A) 15 m B) 20 m C) 25 m D) 30 m Base your answers to questions 13 and 14 on the information below. A car on a straight road starts from rest and accelerates at 1.0 meter per second2 for 10. seconds. Then the car continues to travel at constant speed for an additional 20. seconds. 13. Determine the speed of the car at the end of the first 10. seconds. 14. Calculate the distance the car travels in the first 10. seconds. [Show all work, including the equation and substitution with units.] Vectors 15. Which quantity is a vector? A) impulse B) power C) speed D) time 16. A baseball player runs 27.4 meters from the batter's box to first base, overruns first base by 3.0 meters, and then returns to first base. Compared to the total distance traveled by the player, the magnitude of the player's total displacement from the batter's box is A) 3.0 m shorter B) 6.0 m shorter C) 3.0 m longer D) 6.0 m longer 17. Which is a scalar quantity? A) acceleration B) momentum C) speed D) displacement 18. In the diagram below, a 20.-newton force due north and a 20.-newton force due east act concurrently on an object, as shown in the diagram below. The additional force necessary to bring the object into a state of equilibrium is A) 20. N, northeast B) 20. N, southwest C) 28 N, northeast D) 28 N, southwest 19. Base your answer to the following question on the information below. A stream is 30. meters wide and its current flows southward at 1.5 meters per second. A toy boat is launched with a velocity of 2.0 meters per second eastward from the west bank of the stream. What is the magnitude of the boat’s resultant velocity as it crosses the stream? A) 0.5 m/s B) 2.5 m/s C) 3.0 m/s D) 3.5 m/s 20. The vector diagram below represents two forces, F 1 and F 2 simultaneously acting on an object. Which vector best represents the resultant of the two forces? A) B) C) D) 21. The diagram below represents two forces acting concurrently on an object. The magnitude of the resultant force is closest to 24. A force of 100. Newtons is applied to an object at an angle of 30º from the horizontal as shown in the diagram below. What is the magnitude of the vertical component of this force? A) 20. N B) 40. N C) 45. N D) 60. N 22. If a woman runs 100 meters north and then 70 meters south, her total displacement will be A) 30 m north B) 30 m south C) 170 m north D) 170 m south 23. An airplane flies with a velocity of 750. kilometers per hour, 30.0º south of east. What is the magnitude of the eastward component of the plane’s velocity? A) 866 km/h B) 650 km/h C) 433 km/h D) 375km/h A) 0 N B) 50.0 N C) 86.7 N D) 100. N 25. Base your answers to parts a through c on the information below. A US Postal carrier on her delivery route travels 250. meters due west and then turns and walks 175. meters due south. P a Draw a vector diagram following the directions below. (1) Using a ruler and protractor and starting at point P, construct the sequence of two displacement vectors for the postal carrier's route. Use a scale of 1.0 centimeter = 25. meters. Label the vectors. (2) Construct and label the vector that represents the carrier's resultant displacement from point P. b What is the magnitude of the carrier's resultant displacement? c What is the angle (in degrees) between west and the carrier's resultant displacement? Projectile Motion 26. The diagram to the right represents a bicycle and rider traveling to the right at a constant speed. A ball is dropped from the hand of the cyclist. 27. Base your answer to the following question on the following information. In the diagram below, a 10.-kilogram sphere, A, is projected horizontally with a velocity of 30. meters per second due east from a height of 20. meters above level ground. At the same instant, a 20.-kilogram sphere, B, is projected horizontally with a velocity of 10. meters per second due west from a height of 80. meters above level ground. [Neglect air friction.] Which set of graphs best represents the horizontal motion of the ball relative to the ground? [Neglect air resistance.] A) B) C) D) The magnitude of the horizontal acceleration of sphere A is A) 0.0 m/s 2 B) 2.0 m/s 2 C) 9.8 m/s 2 D) 15 m/s 2 28. Base your answer to the following question on the information and diagram below. A ball is thrown horizontally with an initial velocity of 20.0 meters per second from the top of a tower 60.0 meters high. 31. A book is pushed with an initial horizontal velocity of 5.0 meters per second off the top of a desk. What is the initial vertical velocity of the book? A) 0 m/s B) 2.5 m/s C) 5.0 m/s D) 10. m/s 32. Base your answer to the following question on the information below. An outfielder throws a baseball to the first baseman at a speed of 19.6 meters per second and an angle of 30.° above the horizontal. Which pair represents the initial horizontal velocity (vx) and initial vertical velocity (vy) of the baseball? A) v x = 17.0 m/s, v y = 9.80 m/s What is the horizontal velocity of the ball just before it reaches the ground? [Neglect air resistance.] A) 9.81 m/s B) 20.0 m/s C) 34.3 m/s D) 68.6 m/s Base your answers to questions 29 and 30 on the information below. Projectile A is launched horizontally at a speed of 20. meters per second from the top of a cliff and strikes a level surface below, 3.0 seconds later. Projectile B is launched horizontally from the same location at a speed of 30. meters per second. 29. Approximately how high is the cliff? A) 29 m B) 44 m C) 60. m D) 104 m 30. The time it takes projectile B to reach the level surface is A) 4.5 s B) 2.0 s C) 3.0 s D) 10. s B) v x = 9.80 m/s, v y = 17.0 m/s C) v x = 19.4 m/s, v y = 5.90 m/s D) v x = 19.6 m/s, v y = 19.6 m/s 33. A golf ball is hit at an angle of 45° above the horizontal. What is the acceleration of the golf ball at the highest point in its trajectory? [Neglect friction.] A) 9.8 m/s 2 upward B) 9.8 m/s 2 downward C) 6.9 m/s 2 horizontal D) 0.0 m/s 2 34. A golf ball is given an initial speed of 20. meters per second and returns to level ground. Which launch angle above level ground results in the ball traveling the greatest horizontal distance? [Neglect friction.] A) 60° B) 45° C) 30.° D) 15° Base your answers to questions 35 through 37 on the information below. The path of a stunt car driven horizontally off a cliff is represented in the diagram below. After leaving the cliff, the car falls freely to point A in 0.50 second and to point B in 1.00 second. 35. Determine the magnitude of the vertical velocity of the car at point A. 36. Calculate the magnitude of the vertical displacement, d y, of the car from point A to point B. [Neglect friction.] [Show all work, including the equation and substitution with units.] 37. Determine the magnitude of the horizontal component of the velocity of the car at point B. [Neglect friction.] Answer Key Midterm Practice 1 1. B 25. 2. C 3. B 4. C 5. C 6. D 7. C 8. C 9. A 26. A 10. B 27. A 11. C 28. B 12. C 29. B 30. C 31. A 32. A 33. B 34. B B) 305 m ( ) 15 m ; C) 35º ( ) 2º 13. 10 m/s 14. d = v it + ½at d = 0 + ½(1.0 m/s 2 2 )(10. s) d = 50. m 2 or 35. d 36. = area = ½bh d = ½(10. s)( 10. m/s) d = 50. m 15. A 16. B 17. C 18. D 19. B 20. B 21. C 22. A 23. B 24. B 37. 4.9 m/s 16 m/s