U NIT 1 – K INEMATICS M OTION G RAPHS – D ISTANCE VS . T IME 1. **For each of the d-t graphs in the figure to the below, write a description of the motion. 2. Sketch a position-time graph for these four motions: a. Starting at a positive position with a positive velocity. b. Starting at a negative position with a smaller positive velocity. c. Remaining at a negative position. d. Starting at a positive position with a negative velocity. 3. **Draw a position-time graph of a person who walks one block at a moderate speed, waits a short time for a “walk” light, walks the next block more slowly, then the final block very fast. All blocks are of equal length. 4. Find the average velocities for the time intervals in the figure below: a. Between 10 and 12 seconds b. Between 14 and 18 seconds c. Between 20 and 24 seconds d. Between 26 and 30 seconds Use the figure below to answer questions 5 through 10: 5.In which section(s) is the cart accelerating? 6.In which section(s) is the cart not moving? 7.In which section(s) is the cart moving backwards? 8.In which section(s) is the cart’s instantaneous velocity equal to its average velocity? 9. What is the velocity of the cart in… a. Section a-b b. Section c-d
c. Section e-f d. Section f-g 10. How far does the cart move in section b-c? 11. **Describe the motion of the objects using the following figure. 12. Using the figure below, what is the velocity at 0s? at 1s? at 2s? 13. Using the figure below find the acceleration and distance traveled during the following time intervals… a. 0 s to 5 s b. 5 s to 10 s c. 10 s to 15 s d. 0 s to 25 s
Use the figure below to answer questions 14 through 17: 14. In which section is the car accelerating from rest? 15. In which section is the car’s acceleration negative? 16. How far does the car travel during section “b”? 17. What is the acceleration of the car in… a. section “a”? b. section “b”? c. section “c”? d. section “d”? Constant Velocity 18. A high school athlete runs 100 m in 12.2 s. What is the velocity in m/s and mph? (8.20 m/s, 18.34 mph) 19. A horse canters away from its trainer in a straight line moving 150m in 14s. It then turns abruptly and gallops halfway back in 4.5s. a. What is its average speed? (12.16 m/s) b. What is its average velocity for the entire trip? (4.05 m/s) 20. **A train leaves the station at the 0 m marker traveling with a constant velocity of 36 m/s. a. How many seconds later will the train pass the 1620 m marker? (45 s) b. What was the velocity of the train in km/h? (129.6 km/hr) 21. At 1 p.m., a car, traveling at a constant velocity of 94 Km/h toward the west, is 17 Km to the west of your school. Where will it be at 3:30 p.m.? (252 km West of the school) 22. Suppose the car in the previous problem started 17 Km east of your school at the same time, moving in the same direction with the same velocity.