2. Advanced Ideas about Slope

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

4. Math Physics x x t y Find the Slope

5. Math Physics x x t y yy xx xx tt Slope = Rise / Run

6. Math Physics x x t y yy xx xx tt Slope = Rise / Run Slope =  y /  x Slope =  x /  t

7. Physics x t xx tt Slope =  x/  t = Avg. Vel …

8. Physics x t xx tt The Slope of a Position vs. Time graph is Average Velocity

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

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

11. Calculate the Slope x (m) T (s) Point One Point Two 9 m 1 m 2 s6 s

12. Calculate the Slope x (m) T (s) Point One: 2s, 9m Point Two: 6s, 1m 9 m 1 m 2 s6 s

13. Slope = Rise / Run x (m) T (s) Point One: 2s, 9m Point Two: 6s, 1m 9 m 1 m 2 s6 s Slope =  x /  t

14. Slope = Rise / Run Slope =  x /  t Slope = (x 2 - x 1 ) / (t 2 - t 1 ) Slope = (1m - 9m) / (6s - 2s) Slope = -8m / 4s Slope = -2 m/s Why does the negative tell us?