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Learn how to determine speed from a distance-time graph using slope calculations. Discover the relationship between distance, time, and speed through graphical analysis. Understand the significance of slope in determining speed on graphs.
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How can you find the speed from a distance-time graph? • Slope = rise ÷ run • Speed = distance ÷ time • Therefore: • Distance = rise • Time = run • The slope of a distance-time graph is speed Y2 – Y1 ------------ X2 – X1
Speedy Gonzales! Slope = Rise / Run = ? rise Distance (m) run Time (sec)
Bugs Bunny Slope = ? What’s Bug’s Doing here? So what’s the speed? rise Distance (m) run Time (sec)
Daffy Duck! During what time did Daffy rest? During what time did Daffy walk toward the detector? When did Daffy walk faster, when moving away or moving toward the detector? During what time did Daffy walk away from the detector? A Distance (miles) C B Time (min)
Graphing Motion A steeper slope on a distance-time graph indicates a higher speed.