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4. Evaluate the Graph Give a verbal description of the motion Rank in order the speeds at points A, B, and C, from slowest to fastest. Draw a velocity-versus-time graph (including the correct numerical scale) B A C

5. Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. Evaluate Graphs For each graph, answer the following question. Do A and B ever have the same speed? If so, at what time or times? B A B A

6. Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. Motion Activity Use a motion detector with the LoggerQuest Motion Activity - One member of each group walks at a steady speed away from the motion detector at a steady speed toward the motion detector at an increasing speed away from the motion detector at a decreasing speed away from the motion detector at an increasing speed toward the motion detector at a decreasing speed toward the motion detector For each, sketch diagrams, position graphs, and velocity graphs To change time, switch modes so that the choices are File and Sensor, then select Data Collection. Try 5 samples per second for 5 seconds

7. Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. Tactics: Interpreting position-versus-time graphs

8. Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. Position-Versus-Time Trucker Bob starts the day 120 miles west of Denver. He drives east for 3 hours at a steady 60 miles/hour before stopping for his coffee break. Draw a position-versus-time graph for Bob, including appropriate numerical scales along both axes. Let Denver be located at x = 0 and assume that the x- axis points to the east.

9. Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. Finding Position from Velocity If we know the initial position, s i, and the instantaneous velocity, v s, as a function of time, t, then the final position is given by Or, graphically;

10. Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. EXAMPLE 2.7 The displacement during a drag race

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12. Find Area Graphically Using the graph, find the position at t = 1, 2, 3, 4, and 5 s and make a table. From this data, draw a position-versus-time graph

13. Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. Find Area Graphically A train is moving at a steady 30 m/s. At t = 0s, the engine passes a single light at x = 0 m. Without using any formulas, find the engine’s position at t = 1 s, t = 2 s and t = 3 s. Graph position and velocity versus time Find the area from the velocity-versus-time graph (Δs = area under the velocity-versus-time graph)

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15. Problem Solving Strategy Sally opens her parachute at an altitude of 1500 m. She then descends slowly to earth at a steady speed of 5 m/s. How long does it take her to touch down? Draw pictorial representation – coordinates, symbols Motion diagram Mathematical Representation Are results reasonable?

16. Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. Upcoming Assignments Finish reading Chapter 2 Pre-class MasteringPhysics assignment due before class on Thursday MasteringPhysics online HW due Thursday by 11 pm