1. Graphing Motion

2. Graphing Data Independent axis: the x-axis- horizontal Dependent axis: the y-axis- vertical The y values depend on the x values

3. Graphing Data Linear relationship, y = mx + b Ex. y = 3x +2 Inverse relationship y = b/x, b = rational number Ex. y = 5/x Quadratic relationship y = bx 2 Ex. y = 4x 2

4. Graphing Motion The velocity of an object can be found by determining the SLOPE on a position-time graph.

5. A changing velocity

6. Velocity vs time graph Is this a graph of “uniform” velocity? Is the velocity increasing or decreasing? What is the name for the rate that velocity changes?

7. We do not usually use the word deceleration in physics. Generally, we define positive or negative acceleration.

8. Determining acceleration from a velocity vs. time graph The acceleration is found by taking the slope of a velocity vs time graph.

9. Using a velocity vs time graph to determine displacement

10. The displacement is found by taking the area of a velocity vs time graph.

11. Velocity-Time Graphs Velocity (m/s) 86428642 -2 -4 -6 -8 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Time (s) What is the velocity? At 1 s? At 4 s? At 7 s? At 12 s? At 17 s? What is the acceleration? From 0 – 2s? From 2 – 6 s? From 9 – 11 s? From 11-14 s? From 14 – 22 s? The ACCELERATION is found by taking the SLOPE of the velocity vs. time graph

12. Velocity-Time Graphs Velocity (m/s) 86428642 -2 -4 -6 -8 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Time (s) What is the velocity? At 1 s? 6m/s At 4 s? 3m/s At 7 s? 0 At 12 s? -8m/s At 17 s? -4m/s What is the acceleration? From 0 – 2s? 0 From 2 – 6 s? -1.5 m/s 2 From 9 – 11 s? -4m/s 2 From 11-14 s? 0 From 14 – 22 s? +1.4m/s 2 What about the displacement? Displacement from the starting point = the area of the shapes. Shapes below the x- axis will be negative displacement! Acceleration = slope