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Evaluate the Graph

Evaluate the Graph. B. C. A. 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). Evaluate Graphs. B. A. A. B.

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Evaluate the Graph

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  1. Evaluate the Graph B C A • 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)

  2. Evaluate Graphs B A A B • For each graph, answer the following question. • Do A and B ever have the same speed? If so, at what time or times?

  3. 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

  4. Tactics: Interpreting position-versus-time graphs

  5. Finding Position from Velocity If we know the initial position, si, and the instantaneous velocity, vs, as a function of time, t, then the final position is given by Or, graphically;

  6. Back and Forth position position velocity velocity acceleration acceleration derivative slope integral area area derivative integral slope

  7. EXAMPLE 2.7 The displacement during a drag race

  8. 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

  9. 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

  10. 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.

  11. Uniform Motion Straight-line motion in which equal displacements occur during any successive equal-time intervals is called uniform motion. For one-dimensional motion, average velocity is given by Notice the symbol Δ. It represents a displacement and an interval in time - not position or instant in time

  12. 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?

  13. Upcoming Assignments • Pre-class MasteringPhysics assignment due before class on Thursday • MasteringPhysics online HW due Thursday by 11 pm

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