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Graphing Speed and Acceleration

Learn how to interpret distance vs time graphs to determine speed and acceleration. Understand the relationship between slope, rise/run, and average speed. Discover how to graph acceleration using speed vs time and distance vs time graphs.

sharoncox
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Graphing Speed and Acceleration

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  1. Graphing Speed and Acceleration

  2. Graphing Speed: Distance vs. Time Graphs Speed = Slope = Rise/Run Rise

  3. Graphing Speed: Distance vs. Time Graphs Speed = Slope = Rise/Run Rise=? 600 kilometers 3 hours

  4. Graphing Speed: Distance vs. Time Graphs Speed = Slope = Rise/Run Rise=? 600 kilometers 3 hours Rise/Run = 600 km/3 hr = 200 km/hr

  5. Different Slopes Slope = Rise/Run = 0 km/1 hr = 0 km/hr Rise = 4 km Rise = 0 km Run = 2 hr Slope = Rise/Run = 4 km/2 hr = 2 km/hr Rise = 2 km Run = 2 hr Slope = Rise/Run = 2 km/2 hr = 1 km/hr

  6. Question • Below is a distance vs. time graph of my position during a race. What was my AVERAGE speed for the entire race? Average Speed = Total distance/Total time = 12 km/6 hr = 2 km/hr Rise = 12 km Run = 6 hr

  7. Question • What does the slope of a distance vs. time graph show you about the motion of an object? • It tells you the SPEED

  8. Question • Below is a distance vs. time graph for 3 runners. Who is the fastest? Leroy is the fastest. He completed the race in 3 hours

  9. Graphing Acceleration • Can use 2 kinds of graphs • Speed vs. time • Distance vs. time

  10. Graphing Acceleration:Speed vs. Time Graphs • Speed is increasing with time = accelerating • Line is straight = acceleration is constant

  11. Graphing Acceleration:Speed vs. Time Graphs Rise = 4 m/s Run = 2 s • In Speed vs. Time graphs: • Acceleration = Rise/Run = 4 m/s ÷ 2 s = 2 m/s2

  12. Graphing Acceleration:Distance vs. Time Graphs • On Distance vs. Time graphs a curved line means • the object is accelerating. • 2) Curved line also means your speed is increasing. • Remember slope = speed

  13. Question Run = 3 s Rise = -6 m/s Above is a graph showing the speed of a car over time. 1) How is the speed of the car changing (speeding up, slowing down, or staying the same)? 2) What is this car’s acceleration? • The car is slowing down • Acceleration = rise/run = -6m/s ÷3s = -2 m/s2

  14. Question: The black and red lines represent a objects that are accelerating. Black is going a greater distance each second, so it must be speeding up. Red is going less each second, so must be slowing down. The blue and green lines represent an object traveling at a constant speed. Therefore, its acceleration is zero. Remember: in distance vs. time graphs: curved line = accelerating, straight line = constant speed • Which line represents an object that is accelerating?

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