© 2010 Pearson Education, Inc. Week 4 Day 1: Topics Slide 1-7 Particle Model General Motion Model Constant Velocity Model Representations of Motion Motion Graphs Motion Diagrams Velocity graph to Position Acceleration

© 2010 Pearson Education, Inc. General Motion and Constant Velocity Motion General Motion Model - Definitions Position Distance Displacement Average Speed Average Velocity Instantaneous Speed Instantaneous Velocity Constant v motion - Representations of motion Motion Diagram X vs. t graphs V x vs, t graphs Describing motion in words  x = v*Delta t Particle Model

© 2010 Pearson Education, Inc. Acceleration Acceleration is: The rate of change of velocity The slope of a velocity- versus-time graph Slide 2-26

© 2010 Pearson Education, Inc. Particle Motion: Slide 1-7 The picture above is made with a stroboscope (a light that flashes at regular time intervals) made at two frames of film per second, of a ball rolling along a track. The track has a 3.0-m-long sticky section. a.Make a position-versus-time graph for the ball. Because you have data only at certain instants of time, your graph should consist of dots that are not connected together. b.What is the change in the ball’s position from t = 0 s to t = 1.0 s? c. What is the change in the ball’s position from t = 2.0 s to t = 4.0 s? d. What is the ball’s velocity before reaching the sticky section? e. What is the ball’s velocity after passing the sticky section? f. Determine the ball’s acceleration on the sticky section of the track.

© 2010 Pearson Education, Inc. 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.

© 2010 Pearson Education, Inc. 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. EQUATION FROM GRAPH EQUATION FROM AREA

© 2010 Pearson Education, Inc. 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. EQUATION FROM GRAPH EQUATION FROM AREA Suppose instead of starting at x = 0, we start at x = 50 m?

© 2010 Pearson Education, Inc. A graph of velocity versus time for a hockey puck shot into a goal appears like so: Which of the following position graphs matches the above velocity graph? Checking Understanding A.B.C.D. Slide 2-21