Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley. The kinematics of motion in one dimension Problem-solving strategies Motion Diagrams and Pictorial Diagrams Chapter 2 Motion in One Dimension Topics: Sample question: Horses can run much much faster than humans, but if the length of the course is right, a human can beat a horse in a race. When, and why, can a man outrun a horse? Slide 2-1

Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley. Slide 2-34 Velocity and Acceleration Motion Graph Demos For more practice with motion graphs and motion diagrams, use the Applet Tutorial Problems (Active Physics) in the Study Area in Mastering Physics. The following problems are recommended:

Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley. Pictorial Diagrams Slide 2-12

Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley. Slide 2-4 Pictorial Diagram Example 1

Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley. Slide 2-4 Pictorial Diagram Example 2

Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley. Slide 2-4 Pictorial Diagram Example 3: Problem 2.43

Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley. A.at t = 2 s. B.at t = 1 s and at t = 3 s. C.at t = 1 s, 2 s, and 3 s. D.P and Q never pass one another. Slide 2-34 Ships P and Q move with the position graphs shown. Both ships are at the origin at t = 0s. When does one pass the other? Two Ships Passing in the Night

Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley. A. B.at t = 1 s and at t = 3 s. C. D. Slide 2-34 Ships P and Q move with the position graphs shown. Both ships are at the origin at t = 0s. When does one pass the other? Two Ships Passing in the Night

Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley. A.P and Q have the same velocity at 2 s. B.P and Q have the same velocity at 1 s and 3 s. C.P and Q have the same velocity at 1 s, 2 s, and 3 s. D.P and Q never have the same velocity. Slide 2-34 Ships P and Q move with the position graphs shown. Both ships are at the origin at t = 0s. Do P and Q ever have the same velocity? If so, at what time or times? Two Ships Passing in the Night

Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley. A.P and Q have the same velocity at 2 s. Slide 2-35 Ships P and Q move with the position graphs shown. Both ships are at the origin at t = 0s. Do P and Q ever have the same velocity? If so, at what time or times? Answer

Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley. Checking Understanding Slide 2-15 A graph of position versus time for a basketball player moving down the court appears like so: Which of the following velocity graphs matches the above position graph? A.B.C.D.

Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley. Slide 2-16 A graph of position versus time for a basketball player moving down the court appears like so: Which of the following velocity graphs matches the above position graph? C. Answer

Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley. Slide 2-34 Where’s the train? A train is moving at a steady 30 m/s. At t = 0, the engine passes a signal light at x = 0. Without using any formulas, find the engine's position at t = 1s, 2s, and 3s. Express your reasoning in words.

Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley. Slide 2-34 Velocity to Position: Example 1 Find the position at times t = 1, 2, 3, 4, and 5 seconds. Assume x (t = 0 sec) = 0 m. What is the displacement of the object between t = 1s and t = 3 s?