Kinematics 1 Name: Date: 1. 4. A cart moving across a level surface accelerates uniformly at 1.0 meter per second 2 for 2.0 seconds. What additional information is required to determine the distance traveled by the cart during this 2.0-second interval? coefficient of friction between the cart and the surface mass of the cart net force acting on the cart initial velocity of the cart The accompanying map shows the route traveled by a school bus. 5. The accompanying vector represents the resultant of two forces acting concurrently on an object at point P. What is the magnitude of the total displacement of the school bus from the start to the end of its trip? 400 m 500 m 800 m 1,800 m 2. Which pair of graphs represent the same motion? Which pair of vectors best represents two concurrent forces that combine to produce this resultant force vector? 3. A runner starts from rest and accelerates uniformly to a speed of 8.0 meters per second in 4.0 seconds. The magnitude of the acceleration of the runner is 0.50 m/s 2 2.0 m/s 2 9.8 m/s 2 32 m/s 2 page 1
6. The accompanying diagram represents the relationship between velocity and time of travel for four cars, A, B, C, and D, in straight-line motion. 10. Which graph best represents the motion of an object whose speed is increasing? Which car has the greatest acceleration during the time interval 10. seconds to 15 seconds? A B C D 7. A 5-newton force directed east and a 5-newton force directed north act concurrently on a point. The resultant of the two forces is 11. Two students push on a sled. One pushes with a force of 30. newtons east and the other exerts a force of 40. newtons south, as shown in the topview accompanying diagram. 5 N northeast 10. N southwest 7 N northeast 7 N southwest 8. Into how many possible components can a single force be resolved? an unlimited number Which vector best represents the resultant of these two forces? two components three components four components at right angles to each other 9. The accompanying graph represents the motion of an object. 12. What is the total displacement of a student who walks 3 blocks east, 2 blocks north, 1 block west, and then 2 blocks south? According to the graph, as time increases, the velocity of the object decreases increases remains the same 0 2 blocks east 2 blocks west 8 blocks 13. A group of bike riders took a 4.0-hour trip. During the first 3.0 hours, they traveled a total of 50. kilometers, but during the last hour they traveled only 10. kilometers. What was the group s average speed for the entire trip? 15 km/hr 30. km/hr 40. km/hr 60. km/hr page 2 Kinematics 1
14. Which two terms represent a vector quantity and the scalar quantity of the vector s magnitude, respectively? 20. The accompanying graph shows the velocity of a race car moving along a straight line as a function of time. acceleration and velocity weight and force speed and time displacement and distance 15. Two concurrent forces have a maximum resultant of 45 newtons and a minimum resultant of 5 newtons. What is the magnitude of each of these forces? 0 N and 45 N 5 N and 9 N 20. N and 25 N 0 N and 50. N 16. A car is driven from Buffalo to Albany and on to New York City, as shown in the diagram. Compared to the magnitude of the car s total displacement, the distance driven is What is the magnitude of the displacement of the car from t = 2.0 seconds to t = 4.0 seconds? 20. m 40. m 60. m 80. m 21. Which pair of graphs represents the same motion of an object? shorter longer the same 17. A student walks 40 meters along a hallway that heads due north, then turns and walks 30 meters along another hallway that heads due east. What is the magnitude of the student s resultant displacement? 10 m 35 m 50 m 70 m 18. A projectile is launched with an initial velocity of 200 meters per second at an angle of 30 above the horizontal. What is the magnitude of the vertical component of the projectile s initial velocity? 200 m/s cos 30 200 m/s sin 30 200 m/s sin 30 200 m/s cos 30 19. A softball player leaves the batter s box, 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 smaller larger the same page 3 Kinematics 1
22. The graph below represents the velocity of an object traveling in a straight line as a function of time. 26. At which value of t will the cart be back at the starting point? t = 2.5 s t = 8.5 s t = 3 s t = 5 s 27. A jogger accelerates at a constant rate as she travels 5.0 meters along a straight track from point A to point B, as shown in the diagram. If her speed was 2.0 meters per second at point A and will be 3.0 meters per second at point B, how long will it take her to go from A to B? Determine the magnitude of the total displacement of the object at the end of the first 6.0 seconds. 1.0 s 2.0 s 3.3 s 4.2 s 23. The uniform motion of a cart is shown in the distance versus time graph. What is the average speed of the cart? 28. Base your answer(s) to the following question(s) on the graph, which represents the relationship between the displacement of an object and its time of travel along a straight line. 0.5 m/sec 2 m/sec 5 m/sec 50 m/sec 24. A car travels 300 meters in 15 seconds. What is the average velocity of the car? 5.0 m/sec 15 m/sec 20 m/sec 30 m/sec 25. The graph shown represents the relationship between velocity and time for a 2.0-kilogram cart that is initially at rest and starts moving northward. What is the average speed of the object during the first 4.0 seconds? 0 m/s 2 m/s 8 m/s 4 m/s 29. In a 4.0-kilometer race, a runner completes the first kilometer in 5.9 minutes, the second kilometer in 6.2 minutes, the third kilometer in 6.3 minutes, and the final kilometer in 6.0 minutes. The average speed of the runner for the race is approximately 0.16 km/min 0.33 km/min 12 km/min 24 km/min In which direction is the cart that is shown traveling at t = 4 seconds? north east south west page 4 Kinematics 1
30. Which graph best represents the motion of an object that was initially at rest and is accelerating uniformly? 32. The displacement-time graph shown represents the motion of a cart along a straight line. During which interval was the cart accelerating? AB BC CD DE 31. The graph represents the relationship between speed and time for a car moving in a straight line. The magnitude of the car s acceleration is 1.0 m/s 2 0.10 m/s 2 10 m/s 2 0.0 m/s 2 page 5 Kinematics 1