Graphing Speed and Acceleration

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Presentation transcript:

Graphing Speed and Acceleration

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

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

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

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

Average Speed = Total distance/Total time = 12 km/6 hr 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

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

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

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

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

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

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

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

curved line = accelerating, straight line = constant speed 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?