Introduction to Kinematics 1. 2. 3. 4. Which of the following is a vector quantity? a. 2.0 kg b. 34 km/h c. 34 km/h east d. 3.2 s Which of the following describes the position of an object? a. 45 km b. 45 km east c. 45 km east of the flagpole A person leaves their house and walks 2.0 km east, takes a break, and then walks another 4.2 km east. What is their position? A person walks 850 m north, 320 m south, and then 130 m north. a. What is her distance walked? b. What is her displacement? 5. A runner completes a race by running around a 200. m circumference circular track 3 times. a. What distance has he travelled? b. What is his displacement? 6. Plot a position-time graph of the following data and answer the following questions: a. b. c. 7. 8. 9. What is the position at 1.0 s? What is the position at 5.0 s? What is the displacement between 1.0 and 5.0 s? Pos position (m) time (s) 10 0 20 2 30 4 40 6 50 8 A person starts at a position of 5.0 km east of his house. After running for a period of time, he undergoes a displacement of 2.3 km east. What is his new position? A person is driving a car along a straight highway. The car’s position at 9:00 am is 13 km to the east of his home. The car’s position at 10:30 am is 137 km to the east of his home. What is the displacement of the car? Answer the following questions based on the position-time graph shown below: a. b. c. d. What is the position of the object at 1.0 s? What is the position of the object at 4.0 s? What is the displacement of the object between 0 and 4.0 s? What is the distance that the object has travelled between 0 and 4.0 s? 11. If you are driving 90.0 km/h and you look to the side for 2.0 s, how far do you travel during this inattentive period? 12. A delivery person drives 83 km north to pick up a package, and then 34 km south to deliver the package. a. What was the delivery person’s distance travelled? b. What was the delivery person’s displacement? 13. A person jogs 1.4 km east in 12 minutes, and then 3.5 km west in 21 minutes. a. What was their average speed? b. What was their average velocity? 12. Convert 95.0 km/h into m/s. 13. Convert 23.2 m/s into km/h. 14. At an average speed of 11.8 km/h, how far will a bicyclist travel in 175 min? 15. If you average a speed of 45.0 km/h, how long will it take to travel a distance of 750 m? 16. A confused person walks 5.0 km towards the east in 2.00 h, then 1.5 km towards the west in 0.50 h, and finally 10.0 km towards the east again in 2.25 h. a. What is the person’s average speed? b. What is the person’s average velocity? 17. A person drove 4.0 km north, and then 6.4 km south. a. If the person’s average speed was 65 km/h, how long did the trip take? b. What was the person’s average velocity? 18. A rock thrown horizontally at a large bell 50.0 m away is heard to hit the bell 4.50 s later. If the speed of sound is 330 m/s, what was the speed of the rock? 19. A person starts from home and drives with a velocity of 55 km/h east for 30 minutes. They then drive with a velocity of 73 km/h west for 45 minutes. Where are they? 20. Two people start at the same location. One person jogs with a velocity of 3.5 m/s east; the other person jogs with a velocity of 1.5 m/s west. How far apart are they after 8.2 s? 21. Answer the following questions based on the position-time graph below: 7 position (m) 6 5 4 3 2 1 0 0 5 10 time (s) a. b. c. d. e. When is the object at rest? When is the object moving forward? When is the object moving backward (toward its starting point)? What is the object’s velocity between 0 and 4.0 s? What is the object’s velocity between 10.0 and 12.0 s? 15