Position-Time Graph PDF

Distance and Displacement Speed and Velocity Acceleration  Distance and Displacement Point of Reference Speed and Velocity 10 m 10 m/s 10 m/s east POSITION-TIME GRAPH LEARNING...

Distance and Displacement Speed and Velocity Acceleration  Distance and Displacement Point of Reference Speed and Velocity 10 m 10 m/s 10 m/s east POSITION-TIME GRAPH LEARNING TARGET Describe motion using a position-time graph Determine the x and y axis of a motion graph Plot points that show the motion of an object moving in a constant and changing speed/velocity LEARNING TARGET Describe motion using position-time graph a Determine the x and y axis of a motion graph Plot points that show the motion of an object moving in a constant and changing speed/velocity LEARNING TARGET Describe motion using a position-time graph Determine the x and y axis of a motion graph Plot points that show the motion of an object moving in a constant and changing speed/velocity LEARNING TARGET Describe motion using a position-time graph Determine the x and y axis of a motion graph Plot points that show the motion of an object moving in a constant and changing speed/velocity LEARNING TARGET Describe motion using a position-time graph Determine the x and y axis of a motion graph Plot points that show the motion of an object moving in a constant and changing speed/velocity LEARNING TARGET Describe motion using a position-time graph Determine the x and y axis of a motion graph Plot points that show the motion of an object moving in a constant and changing speed/velocity What is Position-Time Graph? Position-Time Graph it shows how far something travels over a period of time. It is the representation of speed or velocity when we indicate the direction of the moving object. Scenario 1 POSITION TIME 10 m 0 s 10 m 1 s 10 m 2 s 10 m 3 s 10 m 4 s 10 m 5 s  POSITION TIME 10 m 0 s..... 10 m 1 s 10 m 2 s 10 m 3 s 10 m 4 s y-axis Stationary motion 10 m 5 s x-axis Scenario 2 0 1s 2s 3s 4s 0m 1m 2m 3m 4m Scenario 2 POSITION TIME 0 m 0 s 0 1s 2s 3s 4s 1 m 1 s 2 m 2 s 3 m 3 s 4 m 4 s 0m 1m 2m 3m 4m.. POSITION TIME 0 m 0 s. 1 m 1 s Constant 2 m 2 s y-axis. positive motion 3 m 3 s. 4 m 4 s x-axis Scenario 3 0 1s 2s 3s 4s 160 m 120 m 80 m 40 m 0m Scenario 3 POSITION TIME 160 m 0 s 0 1s 2s 3s 4s 120 m 1 s 80 m 2 s 40 m 3 s 160 m 120 m 80 m 40 m 0m 0 m 4 s. Constant negative POSITION TIME. motion 160 m 120 m 0 s 1 s. 80 m 2 s. 40 m 3 s y-axis 0 m 4 s. x-axis Scenario 4 0 1s 2s 3s 4s 0m 2m 8m 18 m 32 m  Scenario 4 POSITION TIME 0 m 0 s 0 2 m 1 s 1s 2s 3 4s s 8m 2 s 18 m 3 s 0m 2m 8m 18 m 32 m 32 m 4 s  Changing. POSITION TIME 0 m 0 s speed. 2 m 8m 1 s 2 s. 18 m 3 s. y-axis 32 m 4 s. x-axis  Make an illustration of a position time graph that has changing negative speed What is a Slope? Slope The shape of the line on the graph whether straight, curved or steeply sloped has different interpretations of the motion of the object Slope = rise run y-axis change in y = = change in x x-axis  10 m – 10 m 0m Slope = = = 0 m/s 1s–0s 1s..... 0 m/s 0 m/s 0 m/s 0 m/s POSITION TIME 10 m 0 s 10 m 1 s y-axis 10 m 2 s 10 m 3 s 10 m 4 s 10 m 5 s x-axis  SLOPE of a CONSTANT SPEED  1m–0m 1m Slope. = 1 m/s = = 1s–0s 1s.. POSITION TIME 0 m 0 s. 1 m 1 s 2 m 2 s y-axis. 3 m 4 m 3 s 4 s x-axis  2m–1m 1m Slope. = = = 1 m/s 2s–1s 1s.. POSITION TIME 0 m 0 s. 1 m 1 s 2 m 2 s y-axis. 3 m 4 m 3 s 4 s x-axis  3m–2m 1 m Slope. = = = 1 m/s 3s–2s 1s.. POSITION TIME 0 m 0 s. 1 m 1 s 2 m 2 s y-axis. 3 m 4 m 3 s 4 s x-axis  4 m – 3 m 1m Slope. = = = 1 m/s 4s–3s 1s.. POSITION TIME 0 m 0 s. 1 m 1 s 2 m 2 s y-axis. 3 m 4 m 3 s 4 s x-axis... POSITION TIME This graph has a 0 m 0 s constant. 1 m 1 s speed/velocity or constant and 2 m 2 s y-axis positive slope.. 3 m 4 m 3 s 4 s x-axis  120 m – 160 m -40 m Slope. = = = -40 m/s 1s–0s 1s. POSITION TIME. 160 m 120 m 0 s 1 s y-axis. 80 m 2 s. 40 m 3 s 0 m 4 s x-axis  80 m – 120 m -40 m Slope. = = = -40 m/s 2 s – 1s 1s. POSITION TIME. 160 m 120 m 0 s 1 s y-axis. 80 m 2 s. 40 m 3 s 0 m 4 s x-axis  40 m – 80 m -40 m Slope. = = = -40 m/s 3 s – 2s 1s. POSITION TIME. 160 m 120 m 0 s 1 s y-axis. 80 m 2 s. 40 m 3 s 0 m 4 s x-axis  0 m – 40 m -40 m Slope. = = = -40 m/s 4s– 3s 1s. POSITION TIME. 160 m 120 m 0 s 1 s y-axis. 80 m 2 s. 40 m 3 s 0 m 4 s x-axis. This graph has a. constant negative speed/velocity or constant negative slope. POSITION TIME. 160 m 120 m 0 s 1 s y-axis. 80 m 2 s. 40 m 3 s 0 m 4 s x-axis  SLOPE of a CHANGING SPEED  2 m – 0 m 2m Slope. = = = 2 m/s 1s–0s 1s POSITION TIME 0 m 0 s. 2 m 8m 1 s 2 s. 18 m 3 s. y-axis 32 m 4 s. x-axis  8m–2m 6m Slope. = = = 6 m/s 2s–1s 1s POSITION TIME 0 m 0 s. 2 m 8m 1 s 2 s. 18 m 3 s. y-axis 32 m 4 s. x-axis  18 m – 8 m 10 m Slope. = = = 10 m/s 3s–2s 1s POSITION TIME 0 m 0 s. 2 m 8m 1 s 2 s. 18 m 3 s. y-axis 32 m 4 s. x-axis  32 m – 18 m 14 m Slope. = = = 14 m/s 4s–3s 1s POSITION TIME 0 m 0 s. 2 m 8m 1 s 2 s. 18 m 3 s. y-axis 32 m 4 s. x-axis. POSITION TIME 0 m 0 s.This graph does not have a 2 m 8m 1 s 2 s. constant motion 18 m 3 s but rather it has a. y-axis 32 m 4 s changing. velocity/speed x-axis  Why is it important to learn about the slope of the line on a graph Things to Remember ❑ If the velocity is constant, the slope is constant (i.e., a straight line). ❑ If the velocity is changing, the slope is changing (i.e., a curved line). ❑ If the velocity is positive, the slope is positive (i.e., moving upwards). ❑ If the velocity is negative, the slope is negative (i.e., moving downwards).  Which graph shows a faster constant speed? Note: a steeper line indicates a larger slope and a less steep line means a smaller slope Directions: Analyze the graph to answer the questions.