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Understanding Slope in Physics: Key Concepts and Calculations

Learn how to calculate slope in physics using rise over run, dy/dx, dx/dt methods. Discover the importance of slope in position vs. time graphs for average velocity.

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Understanding Slope in Physics: Key Concepts and Calculations

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  1. Advanced Ideas about Slope

  2. Math Physics y x Position vs. Time x t

  3. Math Physics y x x t Find the Slope

  4. Math Physics y x Dy Dx Dx Dt x t Slope = Rise / Run

  5. Math Physics y x Dy Dx Dx Dt x t Slope = Rise / Run Slope = Dy / Dx Slope = Dx / Dt

  6. Physics x Dx Dt t Slope = Dx/Dt = Avg. Vel …

  7. Physics x Dx Dt t The Slope of a Position vs. Time graph is Average Velocity

  8. Calculate the Slope Position (meters) Time (seconds)

  9. Calculate the Slope Point One x (m) Point Two T (s)

  10. Calculate the Slope Point One 9 m x (m) Point Two 1 m 2 s 6 s T (s)

  11. Calculate the Slope Point One: 2s, 9m 9 m x (m) Point Two: 6s, 1m 1 m 2 s 6 s T (s)

  12. Slope = Rise / Run Point One: 2s, 9m 9 m x (m) Point Two: 6s, 1m 1 m 2 s 6 s T (s) Slope = Dx / Dt

  13. Slope = Rise / Run Slope = Dx / Dt Slope = (x2 - x1) / (t2 - t1) Slope = (1m - 9m) / (6s - 2s) Slope = -8m / 4s Slope = -2 m/s Why does the negative tell us?

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